<pre>Network Working Group                                  G. Apostolopoulos
Request for Comments: 2676                                   D. Williams
Category: Experimental                                               IBM
                                                                S. Kamat
                                                                  Lucent
                                                               R. Guerin
                                                                   UPenn
                                                                 A. Orda
                                                                Technion
                                                           T. Przygienda
                                                           Siara Systems
                                                             August 1999


               <span class="h1">QoS Routing Mechanisms and OSPF Extensions</span>

Status of this Memo

   This memo defines an Experimental Protocol for the Internet
   community.  It does not specify an Internet standard of any kind.
   Discussion and suggestions for improvement are requested.
   Distribution of this memo is unlimited.

Copyright Notice

   Copyright (C) The Internet Society (1999).  All Rights Reserved.

Abstract

   This memo describes extensions to the OSPF [<a href="#ref-Moy98" title="&quot;OSPF Version 2&quot;">Moy98</a>] protocol to
   support QoS routes.  The focus of this document is on the algorithms
   used to compute QoS routes and on the necessary modifications to OSPF
   to support this function, e.g., the information needed, its format,
   how it is distributed, and how it is used by the QoS path selection
   process.  Aspects related to how QoS routes are established and
   managed are also briefly discussed.  The goal of this document is to
   identify a framework and possible approaches to allow deployment of
   QoS routing capabilities with the minimum possible impact to the
   existing routing infrastructure.

   In addition, experience from an implementation of the proposed
   extensions in the GateD environment [<a href="#ref-Con">Con</a>], along with performance
   measurements is presented.








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Table of Contents

   1. Introduction                                                    3
       <a href="#section-1.1">1.1</a>. Overall Framework . . . . . . . . . . . . . . . . . . . . <a href="#page-3">3</a>
       <a href="#section-1.2">1.2</a>. Simplifying Assumptions . . . . . . . . . . . . . . . . . <a href="#page-5">5</a>
   2. Path Selection Information and Algorithms                       7
       <a href="#section-2.1">2.1</a>. Metrics . . . . . . . . . . . . . . . . . . . . . . . . . <a href="#page-7">7</a>
       <a href="#section-2.2">2.2</a>. Advertisement of Link State Information . . . . . . . . . <a href="#page-8">8</a>
       <a href="#section-2.3">2.3</a>. Path Selection  . . . . . . . . . . . . . . . . . . . . .<a href="#page-10">10</a>
             <a href="#section-2.3.1">2.3.1</a>. Path Computation Algorithm  . . . . . . . . . . .<a href="#page-11">11</a>
   3. OSPF Protocol Extensions                                       16
       <a href="#section-3.1">3.1</a>. QoS -- Optional Capabilities  . . . . . . . . . . . . . .<a href="#page-17">17</a>
       <a href="#section-3.2">3.2</a>. Encoding Resources as Extended TOS  . . . . . . . . . . .<a href="#page-17">17</a>
             <a href="#section-3.2.1">3.2.1</a>. Encoding bandwidth resource . . . . . . . . . . .<a href="#page-19">19</a>
             <a href="#section-3.2.2">3.2.2</a>. Encoding Delay  . . . . . . . . . . . . . . . . .<a href="#page-21">21</a>
       <a href="#section-3.3">3.3</a>. Packet Formats  . . . . . . . . . . . . . . . . . . . . .<a href="#page-21">21</a>
       <a href="#section-3.4">3.4</a>. Calculating the Inter-area Routes . . . . . . . . . . . .<a href="#page-22">22</a>
       <a href="#section-3.5">3.5</a>. Open Issues . . . . . . . . . . . . . . . . . . . . . . .<a href="#page-22">22</a>
   4. A Reference Implementation based on GateD                      22
       <a href="#section-4.1">4.1</a>. The Gate Daemon (GateD) Program . . . . . . . . . . . . .<a href="#page-22">22</a>
       <a href="#section-4.2">4.2</a>. Implementing the QoS Extensions of OSPF . . . . . . . . .<a href="#page-23">23</a>
             <a href="#section-4.2.1">4.2.1</a>. Design Objectives and Scope . . . . . . . . . . .<a href="#page-23">23</a>
             <a href="#section-4.2.2">4.2.2</a>. Architecture  . . . . . . . . . . . . . . . . . .<a href="#page-24">24</a>
       <a href="#section-4.3">4.3</a>. Major Implementation Issues . . . . . . . . . . . . . . .<a href="#page-25">25</a>
       <a href="#section-4.4">4.4</a>. Bandwidth and Processing Overhead of QoS Routing  . . . .<a href="#page-29">29</a>
   5. Security Considerations                                        32
   A. Pseudocode for the BF Based Pre-Computation Algorithm          33
   B. On-Demand Dijkstra Algorithm for QoS Path Computation          36
   C. Precomputation Using Dijkstra Algorithm                        39
   D. Explicit Routing Support                                       43
   Endnotes                                                          45
   References                                                        46
   Authors' Addresses                                                48
   Full Copyright Statement                                          50

















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<span class="h2"><a class="selflink" id="section-1" href="#section-1">1</a>. Introduction</span>

   In this document, we describe a set of proposed additions to the OSPF
   routing protocol (these additions have been implemented on top of the
   GateD [<a href="#ref-Con">Con</a>] implementation of OSPF V2 [<a href="#ref-Moy98" title="&quot;OSPF Version 2&quot;">Moy98</a>]) to support Quality-
   of-Service (QoS) routing in IP networks.  Support for QoS routing can
   be viewed as consisting of three major components:

   1. Obtain the information needed to compute QoS paths and select a
      path capable of meeting the QoS requirements of a given request,

   2. Establish the path selected to accommodate a new request,

   3. Maintain the path assigned for use by a given request.

   Although we touch upon aspects related to the last two components,
   the focus of this document is on the first one.  In particular, we
   discuss the metrics required to support QoS, the extension to the
   OSPF link state advertisement mechanism to propagate updates of QoS
   metrics, and the modifications to the path selection to accommodate
   QoS requests.  The goal of the extensions described in this document
   is to improve performance for QoS flows (likelihood to be routed on a
   path capable of providing the requested QoS), with minimal impact on
   the existing OSPF protocol and its current implementation.  Given the
   inherent complexity of QoS routing, achieving this goal obviously
   implies trading-off "optimality" for "simplicity", but we believe
   this to be required in order to facilitate deployment of QoS routing
   capabilities.

   In addition to describing the proposed extensions to the OSPF
   protocol, this document also reports experimental data based on
   performance measurements of an implementation done on the GateD
   platform (see <a href="#section-4">Section 4</a>).

<span class="h3"><a class="selflink" id="section-1.1" href="#section-1.1">1.1</a>. Overall Framework</span>

   We consider a network (1) that supports both best-effort packets and
   packets with QoS guarantees.  The way in which the network resources
   are split between the two classes is irrelevant, except for the
   assumption that each QoS capable router in the network is able to
   dedicate some of its resources to satisfy the requirements of QoS
   packets.  QoS capable routers are also assumed capable of identifying
   and advertising resources that remain available to new QoS flows.  In
   addition, we limit ourselves to the case where all the routers
   involved support the QoS extensions described in this document, i.e.,
   we do not consider the problem of establishing a route in a
   heterogeneous environment where some routers are QoS-capable and
   others are not.  Furthermore, in this document, we focus on the case



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   of unicast flows, although many of the additions we define are
   applicable to multicast flows as well.

   We assume that a flow with QoS requirements specifies them in some
   fashion that is accessible to the routing protocol.  For example,
   this could correspond to the arrival of an RSVP [RZB+97] PATH
   message, whose TSpec is passed to routing together with the
   destination address.  After processing such a request, the routing
   protocol returns the path that it deems the most suitable given the
   flow's requirements.  Depending on the scope of the path selection
   process, this returned path could range from simply identifying the
   best next hop, i.e., a hop-by-hop path selection model, to specifying
   all intermediate nodes to the destination, i.e., an explicit route
   model.  The nature of the path being returned impacts the operation
   of the path selection algorithm as it translates into different
   requirements for constructing and returning the appropriate path
   information.  However, it does not affect the basic operation of the
   path selection algorithm (2).

   For simplicity and also because it is the model currently supported
   in the implementation (see <a href="#section-4">Section 4</a> for details), in the rest of
   this document we focus on the hop-by-hop path selection model.  The
   additional modifications required to support an explicit routing
   model are discussed in <a href="#appendix-D">appendix D</a>, but are peripheral to the main
   focus of this document which concentrates on the specific extensions
   to the OPSF protocol to support computation of QoS routes.

   In addition to the problem of selecting a QoS path and possibly
   reserving the corresponding resources, one should note that the
   successful delivery of QoS guarantees requires that the packets of
   the associated "QoS flow" be forwarded on the selected path.  This
   typically requires the installation of corresponding forwarding state
   in the router.  For example, with RSVP [RZB+97] flows a classifier
   entry is created based on the filter specs contained in the RESV
   message.  In the case of a Differentiated Service [<a href="#ref-KNB98" title="&quot;Definition of the Differentiated Services Field (DS Field) in the IPv4 and IPv6 Headers&quot;">KNB98</a>] setting,
   the classifier entry may be based on the destination address (or
   prefix) and the corresponding value of the DS byte.  The mechanisms
   described in this document are at the control path level and are,
   therefore, independent of data path mechanisms such as the packet
   classification method used.  Nevertheless, it is important to notice
   that consistent delivery of QoS guarantees implies stability of the
   data path.  In particular, while it is possible that after a path is
   first selected, network conditions change and result in the
   appearance of "better" paths, such changes should be prevented from
   unnecessarily affecting existing paths.  In particular, switching
   over to a new (and better) path should be limited to specific
   conditions, e.g., when the initial selection turns out to be
   inadequate or extremely "expensive".  This aspect is beyond the scope



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   of QoS routing and belongs to the realm of path management, which is
   outside the main focus of this document.  However, because of its
   potentially significant impact on the usefulness of QoS routing, we
   briefly outline a possible approach to path management.

   Avoiding unnecessary changes to QoS paths requires that state
   information be maintained for each QoS path after it has been
   selected.  This state information is used to track the validity of
   the path, i.e., is the current path adequate or should QoS routing be
   queried again to generate a new and potentially better path.  We say
   that a path is "pinned" when its state specifies that QoS routing
   need not be queried anew, while a path is considered "un-pinned"
   otherwise.  The main issue is then to define how, when, and where
   path pinning and un-pinning is to take place, and this will typically
   depend on the mechanism used to request QoS routes.  For example,
   when the RSVP protocol is the mechanism being used, it is desirable
   that path management be kept as synergetic as possible with the
   existing RSVP state management.  In other words, pinning and un-
   pinning of paths should be coordinated with RSVP soft states, and
   structured so as to require minimal changes to RSVP processing rules.
   A broad RSVP-routing interface that enables this is described in
   [<a href="#ref-GKR97" title="S. and E. Rosen">GKR97</a>].  Use of such an interface in the context of reserving
   resources along an explicit path with RSVP is discussed in [GLG+97].
   Details of path management and a means for avoiding loops in case of
   hop-by-hop path setup can be found in [<a href="#ref-GKH97" title="S. Kamat">GKH97</a>], and are not addressed
   further in this document.

<span class="h3"><a class="selflink" id="section-1.2" href="#section-1.2">1.2</a>. Simplifying Assumptions</span>

   In order to achieve our goal of minimizing impact to the existing
   protocol and implementation, we impose certain restrictions on the
   range of extensions we initially consider to support QoS. The first
   restriction is on the type of additional (QoS) metrics that will be
   added to Link State Advertisements (LSAs) for the purpose of
   distributing metrics updates.  Specifically, the extensions to LSAs
   that we initially consider, include only available bandwidth and
   delay.  In addition, path selection is itself limited to considering
   only bandwidth requirements.  In particular, the path selection
   algorithm selects paths capable of satisfying the bandwidth
   requirement of flows, while at the same time trying to minimize the
   amount of network resources that need to be allocated, i.e., minimize
   the number of hops used.

   This focus on bandwidth is adequate in most instances, and meant to
   keep initial complexity at an acceptable level.  However, it does not
   fully capture the complete range of potential QoS requirements.  For
   example, a delay-sensitive flow of an interactive application could
   be put on a path using a satellite link, if that link provided a



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   direct path and had plenty of unused bandwidth.  This would clearly
   be an undesirable choice.  Our approach to preventing such poor
   choices, is to assign delay-sensitive flows to a "policy" that would
   eliminate from the network all links with high propagation delay,
   e.g., satellite links, before invoking the path selection algorithm.
   In general, multiple policies could be used to capture different
   requirements, each presenting to the path selection algorithm a
   correspondingly pruned network topology, on which the same algorithm
   would be used to generate an appropriate path.  Alternatively,
   different algorithms could be used depending on the QoS requirements
   expressed by an incoming request.  Such extensions are beyond the
   scope of this document, which limits itself to describing the case of
   a single metric, bandwidth.  However, it is worth pointing out that a
   simple extension to the path selection algorithm proposed in this
   document allows us to directly account for delay, under certain
   conditions, when rate-based schedulers are employed, as in the
   Guaranteed Service proposal [<a href="#ref-SPG97" title="&quot;Specification of Guaranteed Quality of Service&quot;">SPG97</a>]; details can be found in [<a href="#ref-GOW97" title="A. Orda">GOW97</a>].

   Another important aspect to ensure that introducing support for QoS
   routing has the minimal possible impact, is to develop a solution
   that has the smallest possible computing overhead.  Additional
   computations are unavoidable, but it is desirable to keep the
   computational cost of QoS routing at a level comparable to that of
   traditional routing algorithms.  One possible approach to achieve
   this goal, is to allow pre-computation of QoS routes.  This is the
   method that was chosen for the implementation of the QoS extensions
   to OSPF and is, therefore, the one described in detail in this
   document.  Alternative approaches are briefly reviewed in appendices.
   However, it should be noted that although several alternative path
   selection algorithms are possible, the same algorithm should be used
   consistently within a given routing domain.  This requirement may be
   relaxed when explicit routing is used, as the responsibility for
   selecting a QoS path lies with a single entity, the origin of the
   request, which then ensures consistency even if each router uses a
   different path selection algorithm.  Nevertheless, the use of a
   common path selection algorithm within an AS is recommended, if not
   necessary, for proper operation.

   A last aspect of concern regarding the introduction of QoS routing,
   is to control the overhead associated with the additional link state
   updates caused by more frequent changes to link metrics.  The goal is
   to minimize the amount of additional update traffic without adversely
   affecting the performance of path selection.  In <a href="#section-2.2">Section 2.2</a>, we
   present a brief discussion of various alternatives that trade
   accuracy of link state information for protocol overhead.  Potential
   enhancements to the path selection algorithm, which seek to
   (directly) account for the inaccuracies in link metrics, are
   described in [<a href="#ref-GOW97" title="A. Orda">GOW97</a>], while a comprehensive treatment of the subject



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   can be found in [<a href="#ref-LO98" title=" 6(6):768--778">LO98</a>, <a href="#ref-GO99" title="7(3):350--364">GO99</a>].  In <a href="#section-4">Section 4</a>, we also describe the
   design choices made in a reference implementation, to allow future
   extensions and experimentation with different link state update
   mechanisms.

   The rest of this document is structured as follows.  In <a href="#section-2">Section 2</a>, we
   describe the general design choices and mechanisms we rely on to
   support QoS request.  This includes details on the path selection
   metrics, link state update extensions, and the path selection
   algorithm itself.  <a href="#section-3">Section 3</a> focuses on the specific extensions that
   the OSPF protocol requires, while <a href="#section-4">Section 4</a> describes their
   implementation in the GateD platform and also presents some
   experimental results.  <a href="#section-5">Section 5</a> briefly addresses security issues
   that the proposed schemes may raise.  Finally, several appendices
   provide additional material of interest, e.g., alternative path
   selection algorithms and support for explicit routes, but somewhat
   outside the main focus of this document.

<span class="h2"><a class="selflink" id="section-2" href="#section-2">2</a>. Path Selection Information and Algorithms</span>

   This section reviews the basic building blocks of QoS path selection,
   namely the metrics on the which the routing algorithm operates, the
   mechanisms used to propagate updates for these metrics, and finally
   the path selection algorithm itself.

<span class="h3"><a class="selflink" id="section-2.1" href="#section-2.1">2.1</a>. Metrics</span>

   The process of selecting a path that can satisfy the QoS requirements
   of a new flow relies on both the knowledge of the flow's requirements
   and characteristics, and information about the availability of
   resources in the network.  In addition, for purposes of efficiency,
   it is also important for the algorithm to account for the amount of
   resources the network has to allocate to support a new flow.  In
   general, the network prefers to select the "cheapest" path among all
   paths suitable for a new flow, and it may even decide not to accept a
   new flow for which a feasible path exists, if the cost of the path is
   deemed too high.  Accounting for these aspects involves several
   metrics on which the path selection process is based.  They include:

   -  Link available bandwidth:  As mentioned earlier, we currently
      assume that most QoS requirements are derivable from a rate-
      related quantity, termed "bandwidth."  We further assume that
      associated with each link is a maximal bandwidth value, e.g., the
      link physical bandwidth or some fraction thereof that has been set
      aside for QoS flows.  Since for a link to be capable of accepting
      a new flow with given bandwidth requirements, at least that much
      bandwidth must be still available on the link, the relevant link
      metric is, therefore, the (current) amount of available (i.e.,



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      unallocated) bandwidth.  Changes in this metric need to be
      advertised as part of extended LSAs, so that accurate information
      is available to the path selection algorithm.

   -  Link propagation delay:  This quantity is meant to identify high
      latency links, e.g., satellite links, which may be unsuitable for
      real-time requests.  This quantity also needs to be advertised as
      part of extended LSAs, although timely dissemination of this
      information is not critical as this parameter is unlikely to
      change (significantly) over time.  As mentioned earlier, link
      propagation delay can be used to decide on the pruning of specific
      links, when selecting a path for a delay sensitive request; also,
      it can be used to support a related extension, as described in
      [<a href="#ref-GOW97" title="A. Orda">GOW97</a>].

   -  Hop-count:  This quantity is used as a measure of the path cost to
      the network.  A path with a smaller number of hops (that can
      support a requested connection) is typically preferable, since it
      consumes fewer network resources.  As a result, the path selection
      algorithm will attempt to find the minimum hop path capable of
      satisfying the requirements of a given request.  Note that
      contrary to bandwidth and propagation delay, hop count is a metric
      that does not affect LSAs, and it is only used implicitly as part
      of the path selection algorithm.

<span class="h3"><a class="selflink" id="section-2.2" href="#section-2.2">2.2</a>. Advertisement of Link State Information</span>

   The new link metrics identified in the previous section need to be
   advertised across the network, so that each router can compute
   accurate and consistent QoS routes.  It is assumed that each router
   maintains an updated database of the network topology, including the
   current state (available bandwidth and propagation delay) of each
   link.  As mentioned before, the distribution of link state (metrics)
   information is based on extending OSPF mechanisms.  The detailed
   format of those extensions is described in <a href="#section-3">Section 3</a>, but in addition
   to how link state information is distributed, another important
   aspect is when such distribution is to take place.

   One option is to mandate periodic updates, where the period of
   updates is determined based on a tolerable corresponding load on the
   network and the routers.  The main disadvantage of such an approach
   is that major changes in the bandwidth available on a link could
   remain unknown for a full period and, therefore, result in many
   incorrect routing decisions.  Ideally, routers should have the most
   current view of the bandwidth available on all links in the network,
   so that they can make the most accurate decision of which path to
   select.  Unfortunately, this then calls for very frequent updates,
   e.g., each time the available bandwidth of a link changes, which is



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   neither scalable nor practical.  In general, there is a trade-off
   between the protocol overhead of frequent updates and the accuracy of
   the network state information that the path selection algorithm
   depends on.  We outline next a few possible link state update
   policies, which strike a practical compromise.

   The basic idea is to trigger link state advertisements only when
   there is a significant change in the value of metrics since the last
   advertisement.  The notion of significance of a change can be based
   on an "absolute" scale or a "relative" one.  An absolute scale means
   partitioning the range of values that a metric can take into
   equivalence classes and triggering an update whenever the metric
   changes sufficiently to cross a class boundary (3).  A relative
   scale, on the other hand, triggers updates when the percentage change
   in the metric value exceeds a predefined threshold.  Independent of
   whether a relative or an absolute change trigger mechanism is used, a
   periodic trigger constraint can also be added.  This constraint can
   be in the form of a hold-down timer, which is used to force a minimum
   spacing between consecutive updates.  Alternatively, a transmit timer
   can also be used to ensure the transmission of an update after a
   certain time has expired.  Such a feature can be useful if link state
   updates advertising bandwidth changes are sent unreliably.  The
   current protocol extensions described in <a href="#section-3">Section 3</a> as well as the
   implementation of <a href="#section-4">Section 4</a> do not consider such an option as metric
   updates are sent using the standard, and reliable, OSPF flooding
   mechanism.  However, this is clearly an extension worth considering
   as it can help lower substantially the protocol overhead associated
   with metrics updates.

   In both the relative and absolute change approaches, the metric value
   advertised in an LSA can be either the actual or a quantized value.
   Advertising the actual metric value is more accurate and, therefore,
   preferable when metrics are frequently updated.  On the other hand,
   when updates are less frequent, e.g., because of a low sensitivity
   trigger or the use of hold-down timers, advertising quantized values
   can be of benefit.  This is because it can help increase the number
   of equal cost paths and, therefore, improve robustness to metrics
   inaccuracies.  In general, there is a broad space of possible trade-
   offs between accuracy and overhead and selecting an appropriate
   design point is difficult and depends on many parameters (see
   [<a href="#ref-AGKT98" title="S. Kamat">AGKT98</a>] for a more detailed discussion of these issues).  As a
   result, in order to help acquire a better understanding of these
   issues, the implementation described in <a href="#section-4">Section 4</a> supports a range of
   options that allow exploration of the available design space.  In
   addition, <a href="#section-4">Section 4</a> also reports experimental data on the traffic
   load and processing overhead generated by links state updates for
   different configurations.




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<span class="h3"><a class="selflink" id="section-2.3" href="#section-2.3">2.3</a>. Path Selection</span>

   There are two major aspects to computing paths for QoS requests.  The
   first is the actual path selection algorithm itself, i.e., which
   metrics and criteria it relies on.  The second is when the algorithm
   is actually invoked.

   The topology on which the algorithm is run is, as with the standard
   OSPF path selection, a directed graph where vertices (4) consist of
   routers and networks (transit vertices) as well as stub networks
   (non-transit vertices).  When computing a path, stub networks are
   added as a post-processing step, which is essentially similar to what
   is done with the current OSPF routing protocol.  The optimization
   criteria used by the path selection are reflected in the costs
   associated with each interface in the topology and how those costs
   are accounted for in the algorithm itself.  As mentioned before, the
   cost of a path is a function of both its hop count and the amount of
   available bandwidth.  As a result, each interface has associated with
   it a metric, which corresponds to the amount of bandwidth that
   remains available on this interface.  This metric is combined with
   hop count information to provide a cost value, whose goal is to pick
   a path with the minimum possible number of hops among those that can
   support the requested bandwidth.  When several such paths are
   available, the preference is for the path whose available bandwidth
   (i.e., the smallest value on any of the links in the path) is
   maximal.  The rationale for the above rule is the following:  we
   focus on feasible paths (as accounted by the available bandwidth
   metric) that consume a minimal amount of network resources (as
   accounted by the hop-count metric); and the rule for selecting among
   these paths is meant to balance load as well as maximize the
   likelihood that the required bandwidth is indeed available.

   It should be noted that standard routing algorithms are typically
   single objective optimizations, i.e., they may minimize the hop-
   count, or maximize the path bandwidth, but not both.  Double
   objective path optimization is a more complex task, and, in general,
   it is an intractable problem [<a href="#ref-GJ79" title="San Francisco">GJ79</a>].  Nevertheless, because of the
   specific nature of the two objectives being optimized (bandwidth and
   hop count), the complexity of the above algorithm is competitive with
   even that of standard single-objective algorithms.  For readers
   interested in a thorough treatment of the topic, with insights into
   the connection between the different algorithms, linear algebra and
   modification of metrics, [<a href="#ref-Car79" title="UK">Car79</a>] is recommended.

   Before proceeding with a more detailed description of the path
   selection algorithm itself, we briefly review the available options
   when it comes to deciding when to invoke the algorithm.  The two main
   options are:  1) to perform on-demand computations, that is, trigger



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   a computation for each new request, and 2) to use some form of pre-
   computation.  The on-demand case involves no additional issues in
   terms of when computations should be triggered, but running the path
   selection algorithm for each new request can be computationally
   expensive (see [<a href="#ref-AT98" title="TX">AT98</a>] for a discussion on this issue).  On the other
   hand, pre-computing paths amortizes the computational cost over
   multiple requests, but each computation instance is usually more
   expensive than in the on-demand case (paths are computed to all
   destinations and for all possible bandwidth requests rather than for
   a single destination and a given bandwidth request).  Furthermore,
   depending on how often paths are recomputed, the accuracy of the
   selected paths may be lower.  In this document, we primarily focus on
   the case of pre-computed paths, which is also the only method
   currently supported in the reference implementation described in
   <a href="#section-4">Section 4</a>.  In this case, clearly, an important issue is when such
   pre-computation should take place.  The two main options we consider
   are periodic pre-computations and pre-computations after a given (N)
   number of updates have been received.  The former has the benefit of
   ensuring a strict bound on the computational load associated with
   pre-computations, while the latter can provide for a more responsive
   solution (5).  <a href="#section-4">Section 4</a> provides some experimental results comparing
   the performance and cost of periodic pre-computations for different
   period values.

<span class="h4"><a class="selflink" id="section-2.3.1" href="#section-2.3.1">2.3.1</a>. Path Computation Algorithm</span>

   This section describes a path selection algorithm, which for a given
   network topology and link metrics (available bandwidth), pre-computes
   all possible QoS paths, while maintaining a reasonably low
   computational complexity.  Specifically, the algorithm pre-computes
   for any destination a minimum hop count path with maximum bandwidth,
   and has a computational complexity comparable to that of a standard
   Bellman-Ford shortest path algorithm.  The Bellman-Ford (BF) shortest
   path algorithm is adapted to compute paths of maximum available
   bandwidth for all hop counts.  It is a property of the BF algorithm
   that, at its h-th iteration, it identifies the optimal (in our
   context:  maximal bandwidth) path between the source and each
   destination, among paths of at most h hops.  In other words, the cost
   of a path is a function of its available bandwidth, i.e., the
   smallest available bandwidth on all links of the path, and finding a
   minimum cost path amounts to finding a maximum bandwidth path.
   However, because the BF algorithm progresses by increasing hop count,
   it essentially provides for free the hop count of a path as a second
   optimization criteria.

   Specifically, at the kth (hop count) iteration of the algorithm, the
   maximum bandwidth available to all destinations on a path of no more
   than k hops is recorded (together with the corresponding routing



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   information).  After the algorithm terminates, this information
   provides for all destinations and bandwidth requirements, the path
   with the smallest possible number of hops and sufficient bandwidth to
   accommodate the new request.  Furthermore, this path is also the one
   with the maximal available bandwidth among all the feasible paths
   with at most these many hops.  This is because for any hop count, the
   algorithm always selects the one with maximum available bandwidth.

   We now proceed with a more detailed description of the algorithm and
   the data structure used to record routing information, i.e., the QoS
   routing table that gets built as the algorithm progresses (the
   pseudo-code for the algorithm can be found in <a href="#appendix-A">Appendix A</a>).  As
   mentioned before, the algorithm operates on a directed graph
   consisting only of transit vertices (routers and networks), with
   stub-networks subsequently added to the path(s) generated by the
   algorithm.  The metric associated with each edge in the graph is the
   bandwidth available on the corresponding interface.  Let us denote by
   b(n;m) the available bandwidth on the link from node n to m.  The
   vertex corresponding to the router where the algorithm is being run,
   i.e., the computing router, is denoted as the "source node" for the
   purpose of path selection.  The algorithm proceeds to pre-compute
   paths from this source node to all possible destination networks and
   for all possible bandwidth values.  At each (hop count) iteration,
   intermediate results are recorded in a QoS routing table, which has
   the following structure:

The QoS routing table:

   -  a KxH matrix, where K is the number of destinations (vertices in
      the graph) and H is the maximal allowed (or possible) number of
      hops for a path.

   -  The (n;h) entry is built during the hth iteration (hop count
      value) of the algorithm, and consists of two fields:

         *  bw:  the maximum available bandwidth, on a path of at most h
            hops between the source node (router) and destination node
            n;

         *  neighbor:  this is the routing information associated with
            the h (or less) hops path to destination node n, whose
            available bandwidth is bw.  In the context of hop-by-hop
            path selection (6), the neighbor information is simply the
            identity of the node adjacent to the source node on that
            path.  As a rule, the "neighbor" node must be a router and
            not a network, the only exception being the case where the
            network is the destination node (and the selected path is
            the single edge interconnecting the source to it).



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   Next, we provide additional details on the operation of the algorithm
   and how the entries in the routing table are updated as the algorithm
   proceeds.  For simplicity, we first describe the simpler case where
   all edges count as "hops," and later explain how zero-hop edges are
   handled.  Zero-hop edges arise in the case of transit networks
   vertices, where only one of the two incoming and outgoing edges
   should be counted in the hop count computation, as they both
   correspond to the same physical hop.  Accounting for this aspect
   requires distinguishing between network and router nodes, and the
   steps involved are detailed later in this section as well as in the
   pseudo-code of <a href="#appendix-A">Appendix A</a>.

   When the algorithm is invoked, the routing table is first initialized
   with all bw fields set to 0 and neighbor fields cleared.  Next, the
   entries in the first column (which corresponds to one-hop paths) of
   the neighbors of the computing router are modified in the following
   way:  the bw field is set to the value of the available bandwidth on
   the direct edge from the source.  The neighbor field is set to the
   identity of the neighbor of the computing router, i.e., the next
   router on the selected path.

   Afterwards, the algorithm iterates for at most H iterations
   (considering the above initial iteration as the first).  The value of
   H could be implicit, i.e., the diameter of the network or, in order
   to better control the worst case complexity, it can be set explicitly
   thereby limiting path lengths to at most H hops.  In the latter case,
   H must be assigned a value larger than the length of the minimum
   hop-count path to any node in the graph.

   At iteration h, we first copy column h-1  into column h.  In
   addition, the algorithm keeps a list of nodes that changed their bw
   value in the previous iteration, i.e., during the (h-1)-th iteration.
   The algorithm then looks at each link (n;m) where n is a node whose
   bw value changed in the previous iteration, and checks the maximal
   available bandwidth on an (at most) h-hop path to node m whose final
   hop is that link.  This amounts to taking the minimum between the bw
   field in entry (n;h-1) and the link metric value b(n;m) kept in the
   topology database.  If this value is higher than the present value of
   the bw field in entry (m;h), then a better (larger bw value) path has
   been found for destination m and with at most h hops.  The bw field
   of entry (m;h) is then updated to reflect this new value.  In the
   case of hop-by-hop routing, the neighbor field of entry (m;h) is set
   to the same value as in entry (n;h-1).  This records the identity of
   the first hop (next hop from the source) on the best path identified
   thus far for destination m and with h (or less) hops.






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   As mentioned earlier, extending the above algorithm to handle zero-
   hop edges is needed due to the possible use of multi-access networks,
   e.g., T/R, E/N, etc., to interconnect routers.  Such entities are
   also represented by means of a vertex in the OSPF topology, but a
   network connecting two routers should clearly be considered as a
   single hop path rather than a two hop path.  For example, consider
   three routers A, B, and C connected over an Ethernet network N, which
   the OSPF topology represents as in Figure 1.

                           A----N----B
                                |
                                |
                                C



                        Figure 1: Zero-Hop Edges


   In the example of Figure 1, although there are directed edges in both
   directions, an edge from the network to any of the three routers must
   have zero "cost", so that it is not counted twice.  It should be
   noted that when considering such environments in the context of QoS
   routing, it is assumed that some entity is responsible for
   determining the "available bandwidth" on the network, e.g., a subnet
   bandwidth manager.  The specification and operation of such an entity
   is beyond the scope of this document.

   Accommodating zero-hop edges in the context of the path selection
   algorithm described above is done as follows:  At each iteration h
   (starting with the first), whenever an entry (m;h) is modified, it is
   checked whether there are zero-cost edges (m;k) emerging from node m.
   This is the case when m is a transit network.  In that case, we
   attempt to further improve the entry of node k within the current
   iteration, i.e., entry (k;h) (rather than entry (k;h+1)), since the
   edge (m;k) should not count as an additional hop.  As with the
   regular operation of the algorithm, this amounts to taking the
   minimum between the bw field in entry (m;h) and the link metric value
   b(m;k) kept in the topology database (7).  If this value is higher
   than the present value of the bw field in entry (k;h), then the bw
   field of entry (k;h) is updated to this new value.  In the case of
   hop-by-hop routing, the neighbor field of entry (k;h) is set, as
   usual, to the same value as in entry (m;h) (which is also the value
   in entry (n;h-1)).







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   Note that while for simplicity of the exposition, the issue of equal
   cost, i.e., same hop count and available bandwidth, is not detailed
   in the above description, it can be easily supported.  It only
   requires that the neighbor field be expanded to record the list of
   next (previous) hops, when multiple equal cost paths are present.

Addition of Stub Networks

   As was mentioned earlier, the path selection algorithm is run on a
   graph whose vertices consist only of routers and transit networks and
   not stub networks.  This is intended to keep the computational
   complexity as low as possible as stub networks can be added
   relatively easily through a post-processing step.  This second
   processing step is similar to the one used in the current OSPF
   routing table calculation [<a href="#ref-Moy98" title="&quot;OSPF Version 2&quot;">Moy98</a>], with some differences to account
   for the QoS nature of routes.

   Specifically, after the QoS routing table has been constructed, all
   the router vertices are again considered.  For each router, stub
   networks whose links appear in the router's link advertisements will
   be processed to determine QoS routes available to them.  The QoS
   routing information for a stub network is similar to that of routers
   and transit networks and consists of an extension to the QoS routing
   table in the form of an additional row.  The columns in that new row
   again correspond to paths of different hop counts, and contain both
   bandwidth and next hop information.  We also assume that an available
   bandwidth value has been advertised for the stub network.  As before,
   how this value is determined is beyond the scope of this document.
   The QoS routes for a stub network S are constructed as follows:

   Each entry in the row corresponding to stub network S has its bw(s)
   field initialized to zero and its neighbor set to null.  When a stub
   network S is found in the link advertisement of router V, the value
   bw(S,h) in the hth column of the row corresponding to stub network S
   is updated as follows:

      bw(S,h) = max ( bw(S,h) ; min ( bw(V,h) , b(V,S) ) ),

   where bw(V,h) is the bandwidth value of the corresponding column for
   the QoS routing table row associated with router V, i.e., the
   bandwidth available on an h hop path to V, and b(V,S) is the
   advertised available bandwidth on the link from V to S.  The above
   expression essentially states that the bandwidth of a h hop path to
   stub network S is updated using a path through router V, only if the
   minimum of the bandwidth of the h hop path to V and the bandwidth on
   the link between V and S is larger than the current value.





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   Update of the neighbor field proceeds similarly whenever the
   bandwidth of a path through V is found to be larger than or equal to
   the current value.  If it is larger, then the neighbor field of V in
   the corresponding column replaces the current neighbor field of S.
   If it is equal, then the neighbor field of V in the corresponding
   column is concatenated with the existing field for S, i.e., the
   current set of neighbors for V is added to the current set of
   neighbors for S.

Extracting Forwarding Information from Routing Table

   When the QoS paths are precomputed, the forwarding information for a
   flow with given destination and bandwidth requirement needs to be
   extracted from the routing table.  The case of hop-by-hop routing is
   simpler than that of explicit routing.  This is because, only the
   next hop needs to be returned instead of an explicit route.

   Specifically, assume a new request to destination, say, d, and with
   bandwidth requirements B.  The index of the destination vertex
   identifies the row in the QoS routing table that needs to be checked
   to generate a path.  Assuming that the QoS routing table was
   constructed using the Bellman-Ford algorithm presented later in this
   section, the search then proceeds by increasing index (hop) count
   until an entry is found, say at hop count or column index of h, with
   a value of the bw field which is equal to or larger than B.  This
   entry points to the initial information identifying the selected
   path.

   If the path computation algorithm stores multiple equal cost paths,
   then some degree of load balancing can be achieved at the time of
   path selection.  A next hop from the list of equivalent next hops can
   be chosen in a round robin manner, or randomly with a probability
   that is weighted by the actual available bandwidth on the local
   interface.  The latter is the method used in the implementation
   described in <a href="#section-4">Section 4</a>.

   The case of explicit routing is discussed in <a href="#appendix-D">Appendix D</a>.

<span class="h2"><a class="selflink" id="section-3" href="#section-3">3</a>. OSPF Protocol Extensions</span>

   As stated earlier, one of our goals is to limit the additions to the
   existing OSPF V2 protocol, while still providing the required level
   of support for QoS based routing.  To this end, all of the existing
   OSPF mechanisms, data structures, advertisements, and data formats
   remain in place.  The purpose of this section of the document is to
   describe the extensions to the OSPF protocol needed to support QoS as
   outlined in the previous sections.




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<span class="h3"><a class="selflink" id="section-3.1" href="#section-3.1">3.1</a>. QoS -- Optional Capabilities</span>

   The OSPF Options field is present in OSPF Hello packets, Database
   Description packets and all LSAs.  The Options field enables OSPF
   routers to support (or not support) optional capabilities, and to
   communicate their capability level to other OSPF routers.  Through
   this mechanism, routers of differing capabilities can be mixed within
   an OSPF routing domain.  Currently, the OSPF standard [<a href="#ref-Moy98" title="&quot;OSPF Version 2&quot;">Moy98</a>]
   specifies the following 5 bits in the options octet:

           +-----------------------------------------------+
           |  *  |  *  | DC  |  EA | N/P |  MC |  E  |  *  |
           +-----------------------------------------------+

   Note that the least significant bit (`T' bit) that was used to
   indicate TOS routing capability in the older OSPF specification
   [<a href="#ref-Moy94" title="&quot;OSPF Version 2&quot;">Moy94</a>] has been removed.  However, for backward compatibility with
   previous versions of the OSPF specification, TOS-specific information
   can be included in router-LSAs, summary-LSAs and AS-external-LSAs.

   We propose to reclaim the `T' bit as an indicator of router's QoS
   routing capability and refer to it as the `Q' bit.  In fact, QoS
   capability can be viewed as an extension of the TOS-capabilities and
   QoS routing as a form of TOS-based routing.  A router sets this bit
   in its hello packets to indicate that it is capable of supporting
   such routing.  When this bit is set in a router or summary links link
   state advertisement, it means that there are QoS fields to process in
   the packet.  When this bit is set in a network link state
   advertisement it means that the network described in the
   advertisement is QoS capable.

   We need to be careful in this approach so as to avoid confusing any
   old style (i.e., <a href="./rfc1583">RFC 1583</a> based) TOS routing implementations.  The
   TOS metric encoding rules of QoS fields introduced further in this
   section will show how this is achieved.  Additionally, unlike the <a href="./rfc1583">RFC</a>
   <a href="./rfc1583">1583</a> specification that unadvertised TOS metrics be treated to have
   same cost as TOS 0, for the purpose of computing QOS routes,
   unadvertised TOS metrics (on a hop) indicate lack of connectivity for
   the specific TOS metrics (for that hop).

<span class="h3"><a class="selflink" id="section-3.2" href="#section-3.2">3.2</a>. Encoding Resources as Extended TOS</span>

   Introduction of QoS should ideally not influence the compatibility
   with existing OSPFv2 routers.  To achieve this goal, necessary
   extensions in packet formats must be defined in a way that either is
   understood by OSPFv2 routers, ignored, or in the worst case
   "gracefully" misinterpreted.  Encoding of QoS metrics in the TOS
   field which fortunately enough is longer in OSPF packets than



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   officially defined in [<a href="#ref-Alm92" title="&quot;Type of Service in the Internet Protocol Suite&quot;">Alm92</a>], allows us to mimic the new facility as
   extended TOS capability.  OSPFv2 routers will either disregard these
   definitions or consider those unspecified.  Specific precautions are
   taken to prevent careless OSPF implementations from influencing
   traditional TOS routers (if any) when misinterpreting the QoS
   extensions.

   For QoS resources, 32 combinations are available through the use of
   the fifth bit in TOS fields contained in different LSAs.  Since
   [<a href="#ref-Alm92" title="&quot;Type of Service in the Internet Protocol Suite&quot;">Alm92</a>] defines TOS as being four bits long, this definition never
   conflicts with existing values.  Additionally, to prevent naive
   implementations that do not take all bits of the TOS field in OSPF
   packets into considerations, the definitions of the `QoS encodings'
   is aligned in their semantics with the TOS encoding.  Only bandwidth
   and delay are specified as of today and their values map onto
   `maximize throughput' and `minimize delay' if the most significant
   bit is not taken into account.  Accordingly, link reliability and
   jitter could be defined later if necessary.

        OSPF encoding   <a href="./rfc1349">RFC 1349</a> TOS values
        ___________________________________________
        0               0000 normal service
        2               0001 minimize monetary cost
        4               0010 maximize reliability
        6               0011
        8               0100 maximize throughput
        10              0101
        12              0110
        14              0111
        16              1000 minimize delay
        18              1001
        20              1010
        22              1011
        24              1100
        26              1101
        28              1110
        30              1111














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        OSPF encoding   `QoS encoding values'

        -------------------------------------------
        32             10000
        34             10001
        36             10010
        38             10011
        40             10100 bandwidth
        42             10101
        44             10110
        46             10111
        48             11000 delay
        50             11001
        52             11010
        54             11011
        56             11100
        58             11101
        60             11110
        62             11111

        Representing TOS and QoS in OSPF.

<span class="h4"><a class="selflink" id="section-3.2.1" href="#section-3.2.1">3.2.1</a>. Encoding bandwidth resource</span>

   Given the fact that the actual metric field in OSPF packets only
   provides 16 bits to encode the value used and that links supporting
   bandwidth ranging into Gbits/s are becoming reality, linear
   representation of the available resource metric is not feasible.  The
   solution is exponential encoding using appropriately chosen implicit
   base value and number bits for encoding mantissa and the exponent.
   Detailed considerations leading to the solution described are not
   presented here but can be found in [<a href="#ref-Prz95" title="Swiss Federal Institute of Technology">Prz95</a>].

   Given a base of 8, the 3 most significant bits should be reserved for
   the exponent part and the remaining 13 for the mantissa.  This allows
   a simple comparison for two numbers encoded in this form, which is
   often useful during implementation.

   The following table shows bandwidth ranges covered when using
   different exponents and the granularity of possible reservations.











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        exponent
        value x         range (2^13-1)*8^x      step 8^x
        -------------------------------------------------
        0               8,191                   1
        1               65,528                  8
        2               524,224                 64
        3               4,193,792               512
        4               33,550,336              4,096
        5               268,402,688             32,768
        6               2,147,221,504           262,144
        7               17,177,772,032          2,097,152

          Ranges of Exponent Values for 13 bits,
               base 8 Encoding, in Bytes/s

   The bandwidth encoding rule may be summarized as: "represent
   available bandwidth in 16 bit field as a 3 bit exponent (with assumed
   base of 8) followed by a 13 bit mantissa as shown below and advertise
   2's complement of the above representation."

        0       8       16
        |       |       |
        -----------------
       |EXP| MANT        |
        -----------------

   Thus, the above encoding advertises a numeric value that is

      2^16 -1 -(exponential encoding of the available bandwidth):

   This has the property of advertising a higher numeric value for lower
   available bandwidth, a notion that is consistent with that of cost.

   Although it may seem slightly pedantic to insist on the property that
   less bandwidth is expressed higher values, it has, besides
   consistency, a robustness aspect in it.  A router with a poor OSPF
   implementation could misuse or misunderstand bandwidth metric as
   normal administrative cost provided to it and compute spanning trees
   with a "normal" Dijkstra.  The effect of a heavily congested link
   advertising numerically very low cost could be disastrous in such a
   scenario.  It would raise the link's attractiveness for future
   traffic instead of lowering it.  Evidence that such considerations
   are not speculative, but similar scenarios have been encountered, can
   be found in [<a href="#ref-Tan89">Tan89</a>].







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   Concluding with an example, assume a link with bandwidth of 8 Gbits/s
   = 1024^3 Bytes/s, its encoding would consist of an exponent value of
   6 since 1024^3= 4,096*8^6, which would then have a granularity of 8^6
   or approx. 260 kBytes/s.  The associated binary representation would
   then be %(110) 0 1000 0000 0000% or 53,248 (8).  The bandwidth cost
   (advertised value) of this link when it is idle, is then the 2's
   complement of the above binary representation, i.e., %(001) 1 0111
   1111 1111% which corresponds to a decimal value of (2^16 - 1) -
   53,248 = 12,287.  Assuming now a current reservation level of 6;400
   Mbits/s = 200 * 1024^2, there remains 1;600 Mbits/s of available
   bandwidth on the link.  The encoding of this available bandwidth of
   1'600 Mbits/s is 6,400 * 8^5, which corresponds to a granularity of
   8^5 or approx. 30 kBytes/s, and has a binary representation of %(101)
   1 1001 0000 0000% or decimal value of 47,360.  The advertised cost of
   the link with this load level, is then %(010) 0 0110 1111 1111%, or
   (2^16-1) -47,360 = 18,175.

   Note that the cost function behaves as it should, i.e., the less
   bandwidth is available on a link, the higher the cost and the less
   attractive the link becomes.  Furthermore, the targeted property of
   better granularity for links with less bandwidth available is also
   achieved.  It should, however, be pointed out that the numbers given
   in the above examples match exactly the resolution of the proposed
   encoding, which is of course not always the case in practice.  This
   leaves open the question of how to encode available bandwidth values
   when they do not exactly match the encoding.  The standard practice
   is to round it to the closest number.  Because we are ultimately
   interested in the cost value for which it may be better to be
   pessimistic than optimistic, we choose to round costs up and,
   therefore, bandwidth down.

<span class="h4"><a class="selflink" id="section-3.2.2" href="#section-3.2.2">3.2.2</a>. Encoding Delay</span>

   Delay is encoded in microseconds using the same exponential method as
   described for bandwidth except that the base is defined to be 4
   instead of 8.  Therefore, the maximum delay that can be expressed is
   (2^13-1) *4^7 i.e., approx. 134 seconds.

<span class="h3"><a class="selflink" id="section-3.3" href="#section-3.3">3.3</a>. Packet Formats</span>

   Given the extended TOS notation to account for QoS metrics, no
   changes in packet formats are necessary except for the
   (re)introduction of T-bit as the Q-bit in the options field.  Routers
   not understanding the Q-bit should either not consider the QoS
   metrics distributed or consider those as `unknown' TOS.






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   To support QoS, there are additions to two Link State Advertisements,
   the Router Links Advertisement and the Summary Links Advertisement.
   As stated above, a router identifies itself as supporting QoS by
   setting the Q-bit in the options field of the Link State Header.
   When a router that supports QoS receives either the Router Links or
   Summary Links Advertisement, it should parse the QoS metrics encoded
   in the received Advertisement.

<span class="h3"><a class="selflink" id="section-3.4" href="#section-3.4">3.4</a>. Calculating the Inter-area Routes</span>

   This document proposes a very limited use of OSPF areas, that is, it
   is assumed that summary links advertisements exist for all networks
   in the area.  This document does not discuss the problem of providing
   support for area address ranges and QoS metric aggregation.  This is
   left for further studies.

<span class="h3"><a class="selflink" id="section-3.5" href="#section-3.5">3.5</a>. Open Issues</span>

   Support for AS External Links, Virtual Links, and incremental updates
   for summary link advertisements are not addressed in this document
   and are left for further study.  For Virtual Links that do exist, it
   is assumed for path selection that these links are non-QoS capable
   even if the router advertises QoS capability.  Also, as stated
   earlier, this document does not address the issue of non-QoS routers
   within a QoS domain.

<span class="h2"><a class="selflink" id="section-4" href="#section-4">4</a>. A Reference Implementation based on GateD</span>

   In this section we report on the experience gained from implementing
   the pre-computation based approach of <a href="#section-2.3.1">Section 2.3.1</a> in the GateD
   [<a href="#ref-Con">Con</a>] environment.  First, we briefly introduce the GateD
   environment, and then present some details on how the QoS extensions
   were implemented in this environment.  Finally, we discuss issues
   that arose during the implementation effort and present some
   measurement based results on the overhead that the QoS extensions
   impose on a QoS capable router and a network of QoS routers.  For
   further details on the implementation study, the reader is referred
   to [<a href="#ref-AGK99" title="R. Guerin">AGK99</a>].  Additional performance evaluation based on simulations
   can be found in [<a href="#ref-AGKT98" title="S. Kamat">AGKT98</a>].

<span class="h3"><a class="selflink" id="section-4.1" href="#section-4.1">4.1</a>. The Gate Daemon (GateD) Program</span>

   GateD [<a href="#ref-Con">Con</a>] is a popular, public domain (9) program that provides a
   platform for implementing routing protocols on hosts running the Unix
   operating system.  The distribution of the GateD software also
   includes implementations of many popular routing protocols, including
   the OSPF protocol.  The GateD environment offers a variety of
   services useful for implementing a routing protocol.  These services



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   include a) support for creation and management of timers, b) memory
   management, c) a simple scheduling mechanism, d) interfaces for
   manipulating the host's routing table and accessing the network, and
   e) route management (e.g., route prioritization and route exchange
   between protocols).

   All GateD processing is done within a single Unix process, and
   routing protocols are implemented as one or several tasks.  A GateD
   task is a collection of code associated with a Unix socket.  The
   socket is used for the input and output requirements of the task.
   The main loop of GateD contains, among other operations, a select()
   call over all task sockets to determine if any read/write or error
   conditions occurred in any of them.  GateD implements the OSPF link
   state database using a radix tree for fast access to individual link
   state records.  In addition, link state records for neighboring
   network elements (such as adjacent routers) are linked together at
   the database level with pointers.  GateD maintains a single routing
   table that contains routes discovered by all the active routing
   protocols.  Multiple routes to the same destination are prioritized
   according to a set of rules and administrative preferences and only a
   single route is active per destination.  These routes are
   periodically downloaded in the host's kernel forwarding table.

<span class="h3"><a class="selflink" id="section-4.2" href="#section-4.2">4.2</a>. Implementing the QoS Extensions of OSPF</span>

<span class="h4"><a class="selflink" id="section-4.2.1" href="#section-4.2.1">4.2.1</a>. Design Objectives and Scope</span>

   One of our major design objectives was to gain substantial experience
   with a functionally complete QoS routing implementation while
   containing the overall implementation complexity.  Thus, our
   architecture was modular and aimed at reusing the existing OSPF code
   with only minimal changes.  QoS extensions were localized to specific
   modules and their interaction with existing OSPF code was kept to a
   minimum.  Besides reducing the development and testing effort, this
   approach also facilitated experimentation with different alternatives
   for implementing the QoS specific features such as triggering
   policies for link state updates and QoS route table computation.
   Several of the design choices were also influenced by our assumptions
   regarding the core functionalities that an early prototype
   implementation of QoS routing must demonstrate.  Some of the
   important assumptions/requirements are:

   -  Support for only hop-by-hop routing.  This affected the path
      structure in the QoS routing table as it only needs to store next
      hop information.  As mentioned earlier, the structure can be
      easily extended to allow construction of explicit routes.





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   -  Support for path pre-computation.  This required the creation of a
      separate QoS routing table and its associated path structure, and
      was motivated by the need to minimize processing overhead.

   -  Full integration of the QoS extensions into the GateD framework,
      including configuration support, error logging, etc.  This was
      required to ensure a fully functional implementation that could be
      used by others.

   -  Ability to allow experimentation with different approaches, e.g.,
      use of different update and pre-computation triggering policies
      with support for selection and parameterization of these policies
      from the GateD configuration file.

   -  Decoupling from local traffic and resource management components,
      i.e., packet classifiers and schedulers and local call admission.
      This is supported by providing an API between QoS routing and the
      local traffic management module, which hides all internal details
      or mechanisms.  Future implementations will be able to specify
      their own mechanisms for this module.

   -  Interface to RSVP. The implementation assumes that RSVP [RZB+97]
      is the mechanism used to request routes with specific QoS
      requirements.  Such requests are communicated through an interface
      based on [<a href="#ref-GKR97" title="S. and E. Rosen">GKR97</a>], and used the RSVP code developed at ISI, version
      4.2a2 [RZB+97].

   In addition, our implementation also relies on several of the
   simplifying assumptions made earlier in this document, namely:

   -  The scope of QoS route computation is currently limited to a
      single area.

   -  All routers within the area are assumed to run a QoS enabled
      version of OSPF, i.e., inter-operability with non-QoS aware
      versions of the OSPF protocol is not considered.

   -  All interfaces on a router are assumed to be QoS capable.

<span class="h4"><a class="selflink" id="section-4.2.2" href="#section-4.2.2">4.2.2</a>. Architecture</span>

   The above design decisions and assumptions resulted in the
   architecture shown in Figure 2.  It consists of three major
   components:  the signaling component (RSVP in our case); the QoS
   routing component; and the traffic manager.  In the rest of this
   section we concentrate on the structure and operation of the QoS
   routing component.  As can be seen in Figure 2, the QoS routing
   extensions are further divided into the following modules:



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   -  Update trigger module determines when to advertise local link
      state updates.  This module implements a variety of triggering
      policies:  periodic, threshold based triggering, and class based
      triggering.  This module also implements a hold-down timer that
      enforces minimum spacing between two consecutive update
      triggerings from the same node.

   -  Pre-computation trigger module determines when to perform QoS path
      pre-computation.  So far, this module implements only periodic
      pre-computation triggering.

   -  Path pre-computation module computes the QoS routing table based
      on the QoS specific link state information as described in <a href="#section-2.3.1">Section</a>
      <a href="#section-2.3.1">2.3.1</a>.

   -  Path selection and management module selects a path for a request
      with particular QoS requirements, and manages it once selected,
      i.e., reacts to link or reservation failures.  Path selection is
      performed as described in <a href="#section-2.3.1">Section 2.3.1</a>.  Path management
      functionality is not currently supported.

   -  QoS routing table module implements the QoS specific routing
      table, which is maintained independently of the other GateD
      routing tables.

   -  Tspec mapping module maps request requirements expressed in the
      form of RSVP Tspecs and Rspecs into the bandwidth requirements
      that QoS routing uses.

<span class="h3"><a class="selflink" id="section-4.3" href="#section-4.3">4.3</a>. Major Implementation Issues</span>

   Mapping the above design to the framework of the GateD implementation
   of OSPF led to a number of issues and design decisions.  These issues
   mainly fell under two categories:  a) interoperation of the QoS
   extensions with pre-existing similar OSPF mechanisms, and b)
   structure, placement, and organization of the QoS routing table.
   Next, we briefly discuss these issues and justify the resulting
   design decisions.













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                    +--------------------------------------------------+
                    |              +-----------------------------+     |
                    |              | QoS Route Table Computation |     |
                    |              +-----------------------------+     |
                    |                 |                    |           |
                    |                 V                    |           |
                    |  +-----------------+                 |           |
       +--------------&gt;| QoS Route Table |                 |           |
       |            |  +-----------------+                 |           |
       |            |                                      |           |
       |            |  +----------------------+     +---------------+  |
       |            |  | Core OSPF Functions  |     | Precomputation|  |
       |            |  |        +             |     | Trigger       |  |
       |            |  | (Enhanced) Topology  |     +---------------+  |
       |            |  | Data Base            |             |          |
       |            |  +----------------------+             |          |
       |            |         |           |                 |          |
       |            |         |       +----------------------------+   |
       |            |         |       | Receive and update QoS-LSA |   |
       |            |         |       +----------------------------+   |
       |            |         |                             |          |
       |            |         |                    +----------------+  |
       |            |         |                    | Local Interface|  |
       |            |         |                    | Status Monitor |  |
       |            |         |                    +----------------+  |
+----------------+  |         |                            |           |
| Path Selection |  |    +--------------+          +----------------+  |
| &amp; Management   |  |    | Build and    |          | Link State     |  |
+----------------+  |    | Send QoS-LSA |----------| Update Trigger |  |
       |            |    +--------------+          +----------------+  |
+----------------+  |                                           |      |
| QoS Parameter  |  |                                           |      |
| Mapping        |  |        OSPF with QoS Routing Extensions   |      |
|----------------+  +-------------------------------------------|------+
       |                                                        |
+----------------+                                          +----------+
| QoS Route      |                                          | Local    |
| Request Client |&lt;----------------------------------------&gt;| Resource |
| (e.g. RSVP)    |                                          | Manager  |
+----------------+                                          +----------+



                  Figure 2: The software architecture







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   The ability to trigger link state updates in response to changes in
   bandwidth availability on interfaces is an essential component of the
   QoS extensions.  Mechanisms for triggering these updates and
   controlling their rate have been mentioned in <a href="#section-2.2">Section 2.2</a>.  In
   addition, OSPF implements its own mechanism for triggering link state
   updates as well as its own hold down timer, which may be incompatible
   with what is used for the QoS link state updates.  We handle such
   potential conflicts as follows.  First, since OSPF triggers updates
   on a periodic basis with low frequency, we expect these updates to be
   only a small part of the total volume of updates generated.  As a
   result, we chose to maintain the periodic update triggering of OSPF.
   Resolving conflicts in the settings of the different hold down timer
   settings requires more care.  In particular, it is important to
   ensure that the existing OSPF hold down timer does not interfere with
   QoS updates.  One option is to disable the existing OSPF timer, but
   protection against transient overloads calls for some hold down
   timer, albeit with a small value.  As a result, the existing OSPF
   hold down timer was kept, but reduced its value to 1 second.  This
   value is low enough (actually is the lowest possible, since GateD
   timers have a maximum resolution of 1 second) so that it does not
   interfere with the generation of the QoS link state updates, which
   will actually often have hold down timers of their own with higher
   values.  An additional complexity is that the triggering of QoS link
   state updates needs to be made aware of updates performed by OSPF
   itself.  This is necessary, as regular OSPF updates also carry
   bandwidth information, and this needs to be considered by QoS updates
   to properly determine when to trigger a new link state update.

   Another existing OSPF mechanism that has the potential to interfere
   with the extensions needed for QoS routing, is the support for
   delayed acknowledgments that allows aggregation of acknowledgments
   for multiple LSAs.  Since link state updates are maintained in
   retransmission queues until acknowledged, excessive delay in the
   generation of the acknowledgement combined with the increased rates
   of QoS updates may result in overflows of the retransmission queues.
   To avoid these potential overflows, this mechanism was bypassed
   altogether and LSAs received from neighboring routers were
   immediately acknowledged.  Another approach which was considered but
   not implemented, was to make QoS LSAs unreliable, i.e., eliminate
   their acknowledgments, so as to avoid any potential interference.
   Making QoS LSAs unreliable would be a reasonable design choice
   because of their higher frequency compared to the regular LSAs and
   the reduced impact that the loss of a QoS LSA has on the protocol
   operation.  Note that the loss of a QoS LSA does not interfere with
   the base operation of OSPF, and only transiently reduces the quality
   of paths discovered by QoS routing.





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   The structure and placement of the QoS routing table also raises some
   interesting implementation issues.  Pre-computed paths are placed
   into a QoS routing table.  This table is implemented as a set of path
   structures, one for each destination, which contain all the available
   paths to this destination.  In order to be able to efficiently locate
   individual path structures, an access structure is needed.  In order
   to minimize the develpement effort, the radix tree structure used for
   the regular GateD routing tables was reused.  In addition, the QoS
   routing table was kept independent of the GateD routing tables to
   conform to the design goal of localizing changes and minimizing the
   impact on the existing OSPF code.  An additional reason for
   maintaining the QoS routing separate and self-contained is that it is
   re-computed under conditions that are different from those used for
   the regular routing tables.

   Furthermore, since the QoS routing table is re-built frequently, it
   must be organized so that its computation is efficient.  A common
   operation during the computation of the QoS routing table is mapping
   a link state database entry to the corresponding path structure.  In
   order to make this operation efficient, the link state database
   entries were extended to contain a pointer to the corresponding path
   structure.  In addition, when a new QoS routing table is to be
   computed, the previous one must be de-allocated.  This is
   accomplished by traversing the radix tree in-order, and de-allocating
   each node in the tree.  This full de-allocation of the QoS routing
   table is potentially wasteful, especially since memory allocation and
   de-allocation is an expensive operation.  Furthermore, because path
   pre-computations are typically not triggered by changes in topology,
   the set of destinations will usually remain the same and correspond
   to an unchanged radix tree.  A natural optimization would then be to
   de-allocate only the path structures and maintain the radix tree.  A
   further enhancement would be to maintain the path structures as well,
   and attempt to incrementally update them only when required.
   However, despite the potential gains, these optimizations have not
   been included in the initial implementation.  The main reason is that
   they involve subtle and numerous checks to ensure the integrity of
   the overall data structure at all times, e.g., correctly remove
   failed destinations from the radix tree and update the tree
   accordingly.












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<span class="h3"><a class="selflink" id="section-4.4" href="#section-4.4">4.4</a>. Bandwidth and Processing Overhead of QoS Routing</span>

   After completing the implementation outlined in the previous
   sections, it was possible to perform an experimental study of the
   cost and nature of the overhead of the QoS routing extensions
   proposed in this document.  In particular, using a simple setup
   consisting of two interconnected routers, it is possible to measure
   the cost of individual QoS routing related operations.  These
   operations are:  a) computation of the QoS routing table, b)
   selection of a path from the QoS routing table, c) generation of a
   link state update, and d) reception of a link state update.  Note
   that the last two operations are not really specific to QoS routing
   since regular OSPF also performs them.  Nevertheless, we expect the
   more sensitive update triggering mechanisms required for effective
   QoS routing to result in increased number of updates, making the cost
   of processing updates an important component of the QoS routing
   overhead.  An additional cost dimension is the memory required for
   storing the QoS routing table.  Scaling of the above costs with
   increasing sizes of the topology database was investigated by
   artificially populating the topology databases of the routers under
   measurement.

   Table 1 shows how the measured costs depend on the size of the
   topology.  The topology used in the measurements was built by
   replicating a basic building block consisting of four routers
   connected with transit networks in a rectangular arrangement.  The
   details of the topology and the measurements can be found in [<a href="#ref-AGK99" title="R. Guerin">AGK99</a>].
   The system running the GateD software was an IBM IntelliStation Z Pro
   with a Pentium Pro processor at 200 MHz, 64 MBytes or real memory,
   running FreeBSD 2.2.5-RELEASE and GateD 4.  From the results of Table
   1, one can observe that the cost of path pre-computation is not much
   higher than that of the regular SPF computation.  However, path pre-
   computation may need to be performed much more often than the SPF
   computation, and this can potentially lead to higher processing
   costs.  This issue was investigated in a set of subsequent
   experiments, that are described later in this section.  The other
   cost components reported in Table 1 include memory, and it can be
   seen that the QoS routing table requires roughly 80% more memory than
   the regular routing table.  Finally, the cost of selecting a path is
   found to be very small compared to the path pre-computation times.
   As expected, all the measured quantities increase as the size of the
   topology increases.  In particular, the storage requirements and the
   processing costs for both SPF computation and QoS path pre-
   computation scale almost linearly with the network size.







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________________________________________________________________________
|Link_state_database_size_______|_25_|__49_|__81__|__121_|__169_|__225_|
|Regular_SPF_time_(microsec)____|215_|_440_|_747__|_1158_|_1621_|_2187_|
|Pre-computation_time_(microsec)|736_|_1622|_2883_|_4602_|_6617_|_9265_|
|SPF_routing_table_size_(bytes)_|2608|_4984|_8152_|_12112|_16864|_22408|
|QoS_routing_table_size_(bytes)_|3924|_7952|_13148|_19736|_27676|_36796|
|Path_Selection_time_(microsec)_|_.7_|_1.6_|__2.8_|__4.6_|__6.6_|__9.2_|

                 Table 1: Stand alone QoS routing costs

   In addition to the stand alone costs reported in Table 1, it is
   important to assess the actual operational load induced by QoS
   routing in the context of a large network.  Since it is not practical
   to reproduce a large scale network in a lab setting, the approach
   used was to combine simulation and measurements.  Specifically, a
   simulation was used to obtain a time stamped trace of QoS routing
   related events that occur in a given router in a large scale network.
   The trace was then used to artificially induce similar load
   conditions on a real router and its adjacent links.  In particular,
   it was used to measure the processing load at the router and
   bandwidth usage that could be attributed to QoS updates.  A more
   complete discussion of the measurement method and related
   considerations can be found in [<a href="#ref-AGK99" title="R. Guerin">AGK99</a>].

   The use of a simulation further allows the use of different
   configurations, where network topology is varied together with other
   QoS parameters such as a) period of pre-computation, and b) threshold
   for triggering link state updates.  The results reported here were
   derived using two types of topologies.  One based on a regular but
   artificial 8x8 mesh network, and another (isp) which has been used in
   several previous studies [<a href="#ref-AGKT98" title="S. Kamat">AGKT98</a>, <a href="#ref-AT98" title="TX">AT98</a>] and that approximates the
   network of a nation-wide ISP. As far as pre-computation periods are
   concerned, three values of 1, 5 and 50 seconds were chosen, and for
   the triggering of link state update thresholds of 10% and 80% were
   used.  These values were selected as they cover a wide range in terms
   of precision of pre-computed paths and accuracy of the link state
   information available at the routers.  Also note that 1 second is the
   smallest pre-computation period allowed by GateD.

   Table 2 provides results on the processing load at the router driven
   by the simulation trace, for the two topologies and different
   combinations of QoS parameters, i.e., pre-computation period and
   threshold for triggering link state updates.  Table 3 gives the
   bandwidth consumption of QoS updates on the links adjacent to the
   router.






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    ________________________________________________________________
    |_____________________|_________Pre-computation_Period_________|
    |Link_state_threshold_|___1_sec____|____5_sec____|____50_sec___|
    |_________10%_________|.45%_(1.6%)_|__.29%_(2%)__|__.17%_(3%)__|
    |_________80%_________|.16%_(2.4%)_|__.04%_(3%)__|_.02%_(3.8%)_|

                                  isp

    ________________________________________________________________
    |_________10%_________|3.37%_(2.1%)|_2.23%_(3.3%)|_1.78%_(7.7%)|
    |_________80%_________|1.54%_(5.4%)|_.42%_(6.6%)_|_.14%_(10.4%)|

                               8x8 mesh

       Table 2: Router processing load and (bandwidth blocking).

   In Table 2, processing load is expressed as the percentage of the
   total CPU resources that are consumed by GateD processing.  The same
   table also shows the routing performance that is achieved for each
   combination of QoS parameters, so that comparison of the different
   processing cost/routing performance trade-offs can be made.  Routing
   performance is measured using the bandwidth blocking ratio, defined
   as the sum of requested bandwidth of the requests that were rejected
   over the total offered bandwidth.  As can be seen from Table 2,
   processing load is low even when the QoS routing table is recomputed
   every second, and LSAs are generated every time the available
   bandwidth on a link changes by more than 10% of the last advertised
   value.  This seems to indicate that given today's processor
   technology, QoS routing should not be viewed as a costly enhancement,
   at least not in terms of its processing requirements.  Another
   general observation is that while network size has obviously an
   impact, it does not seem to drastically affect the relative influence
   of the different parameters.  In particular, despite the differences
   that exist between the isp and mesh topologies, changing the pre-
   computation period or the update threshold translates into
   essentially similar relative changes.

   Similar conclusions can be drawn for the update traffic shown in
   Table 3.  In all cases, this traffic is only a small fraction of the
   link's capacity.  Clearly, both the router load and the link
   bandwidth consumption depend on the router and link that was the
   target of the measurements and will vary for different choices.  The
   results shown here are meant to be indicative, and a more complete
   discussion can be found in [<a href="#ref-AGK99" title="R. Guerin">AGK99</a>].







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                _______________________________________
                |_Link_state_threshold_|_______________|
                |_________10%__________|3112_bytes/sec_|
                |_________80%__________|177_bytes/sec__|

                                  isp
                ________________________________________
                |_________10%__________|15438_bytes/sec_|
                |_________80%__________|1053_bytes/sec__|

                               8x8 mesh

                   Table 3: Link state update traffic

   Summarizing, by carrying out the implementation of the proposed QoS
   routing extensions to OSPF we demonstrated that such extensions are
   fairly straightforward to implement.  Furthermore, by measuring the
   performance of the real system we were able to demonstrate that the
   overheads associated with QoS routing are not excessive, and are
   definitely within the capabilities of modern processor and
   workstation technology.

<span class="h2"><a class="selflink" id="section-5" href="#section-5">5</a>. Security Considerations</span>

   The QoS extensions proposed in this document do not raise any
   security considerations that are in addition to the ones associated
   with regular OSPF. The security considerations of OSPF are presented
   in [<a href="#ref-Moy98" title="&quot;OSPF Version 2&quot;">Moy98</a>].  However, it should be noted that this document assumes
   the availability of some entity responsible for assessing the
   legitimacy of QoS requests.  For example, when the protocol used for
   initiating QoS requests is the RSVP protocol, this capability can be
   provided through the use of RSVP Policy Decision Points and Policy
   Enforcement Points as described in [<a href="#ref-YPG97" title="&quot;A Framework for Policy-based Admission Control&quot;">YPG97</a>].  Similarly, a policy
   server enforcing the acceptability of QoS requests by implementing
   decisions based on the rules and languages of [RMK+98], would also be
   capable of providing the desired functionality.















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APPENDICES

<span class="h2"><a class="selflink" id="appendix-A" href="#appendix-A">A</a>. Pseudocode for the BF Based Pre-Computation Algorithm</span>

   Note:  The pseudocode below assumes a hop-by-hop forwarding approach
   in updating the neighbor field.  The modifications needed to support
   explicit route construction are straightforward.  The pseudocode also
   does not handle equal cost multi-paths for simplicity, but the
   modification needed to add this support are straightforward.

Input:
  V = set of vertices, labeled by integers 1 to N.
  L = set of edges, labeled by ordered pairs (n,m) of vertex labels.
  s = source vertex (at which the algorithm is executed).
  For all edges (n,m) in L:
    * b(n,m) = available bandwidth (according to last received update)
    on interface associated with the edge between vertices n and m.
    * If(n,m) outgoing interface corresponding to edge (n,m) when n is
      a router.
  H = maximum hop-count (at most the graph diameter).

Type:
  tab_entry: record
                 bw = integer,
                 neighbor = integer 1..N.

Variables:
  TT[1..N, 1..H]: topology table, whose (n,h) entry is a tab_entry
                  record, such that:
                    TT[n,h].bw is the maximum available bandwidth (as
                      known thus far) on a path of at most h hops
                      between vertices s and n,
                    TT[n,h].neighbor is the first hop on that path (a
                      neighbor of s). It is either a router or the
                      destination n.

  S_prev: list of vertices that changed a bw value in the TT table
          in the previous iteration.
  S_new: list of vertices that changed a bw value (in the TT table
          etc.) in the current iteration.

The Algorithm:

begin;

  for n:=1 to N do  /* initialization */
  begin;
    TT[n,0].bw := 0;



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    TT[n,0].neighbor := null
    TT[n,1].bw := 0;
    TT[n,1].neighbor := null
  end;
  TT[s,0].bw := infinity;

  reset S_prev;
  for all neighbors n of s do
  begin;
    TT[n,1].bw := max( TT[n,1].bw, b[s,n]);
    if (TT[n,1].bw = b[s,n]) then TT[n,1].neighbor := If(s,n);
             /* need to make sure we are picking the maximum */
             /* bandwidth path for routers that can be reached */
             /* through both networks and point-to-point links */
       if (n is a router) then
           S_prev :=  S_prev union {n}
             /* only a router is added to S_prev, */
             /* if it is not already included in S_prev */
       else     /* n is a network: */
             /* proceed with network--router edges, without */
             /* counting another hop */
          for all (n,k) in L, k &lt;&gt; s, do
             /* i.e., for all other neighboring routers of n */
          begin;
          TT[k,1].bw := max( min( TT[n,1].bw, b[n,k]), TT[k,1].bw );
             /* In case k could be reached through another path */
             /* (a point-to-point link or another network) with */
             /* more bandwidth, we do not want to update TT[k,1].bw */
          if (min( TT[n,1].bw, b[n,k]) = TT[k,1].bw )
             /* If we have updated TT[k,1].bw by going through */
             /* network n  */
          then TT[k,1].neighbor := If(s,n);
             /* neighbor is interface to network n */
          if ( {k} not in S_prev) then S_prev :=  S_prev union {k}
             /* only routers are added to S_prev, but we again need */
             /* to check they are not already included in S_prev */
          end
  end;


  for h:=2 to H do   /* consider all possible number of hops */
  begin;
    reset S_new;
    for all vertices m in V do
    begin;
      TT[m,h].bw := TT[m,h-1].bw;
      TT[m,h].neighbor := TT[m,h-1].neighbor
    end;



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    for all vertices n in S_prev do
             /* as shall become evident, S_prev contains only routers */
    begin;
      for all edges (n,m) in L do
      if min( TT[n,h-1].bw, b[n,m]) &gt; TT[m,h].bw then
      begin;
        TT[m,h].bw := min( TT[n,h-1].bw, b[n,m]);
        TT[m,h].neighbor := TT[n,h-1].neighbor;
        if m is a router then S_new :=  S_new union {m}
             /* only routers are added to S_new */
        else /* m is a network: */
             /* proceed with network--router edges, without counting */
             /* them as another hop */
        for all (m,k) in L, k &lt;&gt; n,
             /* i.e., for all other neighboring routers of m */
        if min( TT[m,h].bw, b[m,k]) &gt; TT[k,h].bw then
        begin;
             /* Note: still counting it as the h-th hop, as (m,k) is */
             /* a network--router edge */
          TT[k,h].bw := min( TT[m,h].bw, b[m,k]);
          TT[k,h].neighbor := TT[m,h].neighbor;
          S_new :=  S_new union {k}
             /* only routers are added to S_new */
        end
      end
    end;
    S_prev := S_new;
            /* the two lists can be handled by a toggle bit */
    if S_prev=null then h=H+1   /* if no changes then exit */
  end;

end.



















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<span class="h2"><a class="selflink" id="appendix-B" href="#appendix-B">B</a>. On-Demand Dijkstra Algorithm for QoS Path Computation</span>

   In the main text, we described an algorithm that allows pre-
   computation of QoS routes.  However, it may be feasible in some
   instances, e.g., limited number of requests for QoS routes, to
   instead perform such computations on-demand, i.e., upon receipt of a
   request for a QoS route.  The benefit of such an approach is that
   depending on how often recomputation of pre-computed routes is
   triggered, on-demand route computation can yield better routes by
   using the most recent link metrics available.  Another benefit of
   on-demand path computation is the associated storage saving, i.e.,
   there is no need for a QoS routing table.  This is essentially the
   standard trade-off between memory and processing cycles.

   In this section, we briefly describe how a standard Dijkstra
   algorithm can, for a given destination and bandwidth requirement,
   generate a minimum hop path that can accommodate the required
   bandwidth and also has maximum bandwidth.  Because the Dijkstra
   algorithm is already used in the current OSPF route computation, only
   differences from the standard algorithm are described.  Also, while
   for simplicity we do not consider here zero-hop edges, the
   modification required for supporting them is straightforward.

   The algorithm essentially performs a minimum hop path computation, on
   a graph from which all edges, whose available bandwidth is less than
   that requested by the flow triggering the computation, have been
   removed.  This can be performed either through a pre-processing step,
   or while running the algorithm by checking the available bandwidth
   value for any edge that is being considered (see the pseudocode that
   follows).  Another modification to a standard Dijkstra based minimum
   hop count path computation, is that the list of equal cost next
   (previous) hops which is maintained as the algorithm proceeds, needs
   to be sorted according to available bandwidth.  This is to allow
   selection of the minimum hop path with maximum available bandwidth.
   Alternatively, the algorithm could also be modified to, at each step,
   only keep among equal hop count paths the one with maximum available
   bandwidth.  This would essentially amount to considering a cost that
   is function of both hop count and available bandwidth.

   Note:  The pseudocode below assumes a hop-by-hop forwarding approach
   in updating the neighbor field.  Addition of routes to stub networks
   is done in a second phase as usual.  The modifications needed to
   support explicit route construction are straightforward.  The
   pseudocode also does not handle equal cost multi-paths for
   simplicity, but the modifications needed to add this support are also
   easily done.





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Input:
  V = set of vertices, labeled by integers 1 to N.
  L = set of edges, labeled by ordered pairs (n,m) of vertex labels.
  s = source vertex (at which the algorithm is executed).
  For all edges (n,m) in L:
    * b(n,m) = available bandwidth (according to last received update)
    on interface associated with the edge between vertices n and m.
    * If(n,m) = outgoing interface corresponding to edge (n,m) when n is
      a router.
  d = destination vertex.
  B = requested bandwidth for the flow served.

Type:
  tab_entry: record
                 hops = integer,
                 neighbor = integer 1..N,
                 ontree = boolean.

Variables:
  TT[1..N]: topology table, whose (n) entry is a tab_entry
                  record, such that:
                    TT[n].bw is the available bandwidth (as known
                        thus far) on a shortest-path between
                        vertices s and n,
                    TT[n].neighbor is the first hop on that path (a
                        neighbor of s). It is either a router or the
                        destination n.
  S: list of candidate vertices;
  v: vertex under consideration;

The Algorithm:

begin;
  for n:=1 to N do  /* initialization */
  begin;
    TT[n].hops := infinity;
    TT[n].neighbor := null;
    TT[n].ontree := FALSE;
  end;
  TT[s].hops := 0;

  reset S;
  v:= s;
  while v &lt;&gt; d do
  begin;
    TT[v].ontree := TRUE;
    for all edges (v,m) in L and b(v,m) &gt;= B do
    begin;



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      if m is a router
      begin;
        if not TT[m].ontree then
        begin;
          /* bandwidth must be fulfilled since all links &gt;= B */
          if TT[m].hops &gt; TT[v].hops + 1 then
          begin
            S := S union { m };
            TT[m].hops := TT[v].hops + 1;
            TT[m].neighbor := v;
          end;
        end;
      end;
      else /* must be a network, iterate over all attached routers */
      begin; /* each network -- router edge treated as zero hop edge */
        for all (m,k) in L, k &lt;&gt; v,
             /* i.e., for all other neighboring routers of m */
        if not TT[k].ontree and b(m,k) &gt;= B then
        begin;
          if TT[k].hops &gt; TT[v].hops  then
          begin;
            S := S union { k };
            TT[k].hops := TT[v].hops;
            TT[k].neighbor := v;
          end;
        end;
      end;
    end; /* of all edges from the vertex under consideration */

    if S is empty then
    begin;
      v=d; /* which will end the algorithm */
    end;
    else
    begin;
      v := first element of S;
      S := S - {v}; /* remove and store the candidate to consider */
    end;
  end; /* from processing of the candidate list */
end.











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<span class="h2"><a class="selflink" id="appendix-C" href="#appendix-C">C</a>. Precomputation Using Dijkstra Algorithm</span>

   This appendix outlines a Dijkstra-based algorithm that allows pre-
   computation of QoS routes for all destinations and bandwidth values.
   The benefit of using a Dijkstra-based algorithm is a greater synergy
   with existing OSPF implementations.  The solution to compute all
   "best" paths is to consecutively compute shortest path spanning trees
   starting from a complete graph and removing links with less bandwidth
   than the threshold used in the previous computation.  This yields
   paths with possibly better bandwidth but of course more hops.
   Despite the large number of Dijkstra computations involved, several
   optimizations such as incremental spanning tree computation can be
   used and allow for efficient implementations in terms of complexity
   as well as storage since the structure of computed paths leans itself
   towards path compression [<a href="#ref-ST83" title="26">ST83</a>].  Details including measurements and
   applicability studies can be found in [<a href="#ref-Prz95" title="Swiss Federal Institute of Technology">Prz95</a>] and [<a href="#ref-BP95" title="3(4)">BP95</a>].

   A variation of this theme is to trade the "accuracy" of the pre-
   computed paths, (i.e., the paths being generated may be of a larger
   hop count than needed) for the benefit of using a modified version of
   Dijkstra shortest path algorithm and also saving on some
   computations.  This loss in accuracy comes from the need to rely on
   quantized bandwidth values, which are used when computing a minimum
   hop count path.  In other words, the range of possible bandwidth
   values that can be requested by a new flow is mapped into a fixed
   number of quantized values, and minimum hop count paths are generated
   for each quantized value.  For example, one could assume that
   bandwidth values are quantized as low, medium, and high, and minimum
   hop count paths are computed for each of these three values.  A new
   flow is then assigned to the minimum hop path that can carry the
   smallest quantized value, i.e., low, medium, or high, larger than or
   equal to what it requested.  We restrict our discussion here to this
   "quantized" version of the algorithm.

   Here too, we discuss the elementary case where all edges count as
   "hops", and note that the modification required for supporting zero-
   hop edges is straightforward.

   As with the BF algorithm, the algorithm relies on a routing table
   that gets built as the algorithm progresses.  The structure of the
   routing table is as follows:

The QoS routing table:

   -  a K x Q matrix, where K is the number of vertices and Q is the
      number of quantized bandwidth values.





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   -  The (n;q) entry contains information that identifies the minimum
      hop count path to destination n, which is capable of accommodating
      a bandwidth request of at least bw[q] (the qth quantized bandwidth
      value).  It consists of two fields:

      *  hops:  the minimal number of hops on a path between the source
         node and destination n, which can accommodate a request of at
         least bw[q] units of bandwidth.

      *  neighbor:  this is the routing information associated with the
         minimum hop count path to destination node n, whose available
         bandwidth is at least bw[q].  With a hop-by-hop routing
         approach, the neighbor information is simply the identity of
         the node adjacent to the source node on that path.

   The algorithm operates again on a directed graph where vertices
   correspond to routers and transit networks.  The metric associated
   with each edge in the graph is as before the bandwidth available on
   the corresponding interface, where b(n;m) is the available bandwidth
   on the edge between vertices n and m.  The vertex corresponding to
   the router where the algorithm is being run is selected as the source
   node for the purpose of path selection, and the algorithm proceeds to
   compute paths to all other nodes (destinations).

   Starting with the highest quantization index, Q, the algorithm
   considers the indices consecutively, in decreasing order.  For each
   index q, the algorithm deletes from the original network topology all
   links (n;m) for which b(n;m) &lt; bw[q], and then runs on the remaining
   topology a Dijkstra-based minimum hop count algorithm  (10) between
   the source node and all other nodes (vertices) in the graph.  Note
   that as with the Dijkstra used for on-demand path computation, the
   elimination of links such that b(n;m) &lt; bw[q] could also be performed
   while running the algorithm.

   After the algorithm terminates, the q-th column in the routing table
   is updated.  This amounts to recording in the hops field the hop
   count value of the path that was generated by the algorithm, and by
   updating the neighbor field.  As before, the update of the neighbor
   field depends on the scope of the path computation.  In the case of a
   hop-by-hop routing decision, the neighbor field is set to the
   identity of the node adjacent to the source node (next hop) on the
   path returned by the algorithm.  However, note that in order to
   ensure that the path with the maximal available bandwidth is always
   chosen among all minimum hop paths that can accommodate a given
   quantized bandwidth, a slightly different update mechanism of the
   neighbor field needs to be used in some instances.  Specifically,
   when for a given row, i.e., destination node n, the value of the hops
   field in column q is found equal to the value in column q+1 (here we



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   assume q&lt;Q), i.e., paths that can accommodate bw[q] and bw[q+ 1] have
   the same hop count, then the algorithm copies the value of the
   neighbor field from entry (n;q+1) into that of entry (n;q).

   Note:  The pseudocode below assumes a hop-by-hop forwarding approach
   in updating the neighbor field.  The modifications needed to support
   explicit route construction are straightforward.  The pseudocode also
   does not handle equal cost multi-paths for simplicity, but the
   modification needed to add this support have been described above.
   Details of the post-processing step of adding stub networks are
   omitted.

Input:
  V = set of vertices, labeled by integers 1 to N.
  L = set of edges, labeled by ordered pairs (n,m) of vertex labels.
  s = source vertex (at which the algorithm is executed).
  bw[1..Q] = array of bandwidth values to "quantize" flow requests to.
  For all edges (n,m) in L:
    * b(n,m) = available bandwidth (according to last received update)
    on interface associated with the edge between vertices n and m.
    * If(n,m) = outgoing interface corresponding to edge (n,m) when n is
      a router.

Type:
  tab_entry: record
                 hops = integer,
                 neighbor = integer 1..N,
                 ontree = boolean.

Variables:
  TT[1..N, 1..Q]: topology table, whose (n,q) entry is a tab_entry
                  record, such that:
                    TT[n,q].bw is the available bandwidth (as known
                        thus far) on a shortest-path between
                        vertices s and n accommodating bandwidth b(q),
                    TT[n,q].neighbor is the first hop on that path (a
                        neighbor of s). It is either a router or the
                        destination n.
  S: list of candidate vertices;
  v: vertex under consideration;
  q: "quantize" step

The Algorithm:

begin;
  for r:=1 to Q do
  begin;
    for n:=1 to N do  /* initialization */



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    begin;
      TT[n,r].hops     := infinity;
      TT[n,r].neighbor := null;
      TT[n,r].ontree   := FALSE;
    end;
    TT[s,r].hops := 0;
  end;
  for r:=1 to Q do
  begin;
    S = {s};
    while S not empty do
    begin;
      v := first element of S;
      S := S - {v}; /* remove and store the candidate to consider */
      TT[v,r].ontree := TRUE;
      for all edges (v,m) in L and b(v,m) &gt;= bw[r] do
      begin;
        if m is a router
        begin;
          if not TT[m,r].ontree then
          begin;
            /* bandwidth must be fulfilled since all links &gt;= bw[r] */
            if TT[m,r].hops &gt; TT[v,r].hops + 1 then
            begin
              S := S union { m };
              TT[m,r].hops := TT[v,r].hops + 1;
              TT[m,r].neighbor := v;
            end;
          end;
        end;
        else /* must be a network, iterate over all attached
                routers */
        begin;
          for all (m,k) in L, k &lt;&gt; v,
               /* i.e., for all other neighboring routers of m */
          if not TT[k,r].ontree and b(m,k) &gt;= bw[r] then
          begin;
            if TT[k,r].hops &gt; TT[v,r].hops + 2 then
            begin;
              S := S union { k };
              TT[k,r].hops := TT[v,r].hops + 2;
              TT[k,r].neighbor := v;
            end;
          end;
        end;
      end; /* of all edges from the vertex under consideration */
    end; /* from processing of the candidate list */
  end; /* of "quantize" steps */



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end.

<span class="h2"><a class="selflink" id="appendix-D" href="#appendix-D">D</a>. Explicit Routing Support</span>

   As mentioned before, the scope of the path selection process can
   range from simply returning the next hop on the QoS path selected for
   the flow, to specifying the complete path that was computed, i.e., an
   explicit route.  Obviously, the information being returned by the
   path selection algorithm differs in these two cases, and constructing
   it imposes different requirements on the path computation algorithm
   and the data structures it relies on.  While the presentation of the
   path computation algorithms focused on the hop-by-hop routing
   approach, the same algorithms can be applied to generate explicit
   routes with minor modifications.  These modifications and how they
   facilitate constructing explicit routes are discussed next.

   The general approach to facilitate construction of explicit routes is
   to update the neighbor field differently from the way it is done for
   hop-by-hop routing as described in <a href="#section-2.3">Section 2.3</a>.  Recall that in the
   path computation algorithms the neighbor field is updated to reflect
   the identity of the router adjacent to the source node on the partial
   path computed.  This facilitates returning the next hop at the source
   for the specific path.  In the context of explicit routing, the
   neighbor information is updated to reflect the identity of the
   previous router on the path.

   In general, there can be multiple equivalent paths for a given hop
   count.  Thus, the neighbor information is stored as a list rather
   than single value.  Associated with each neighbor, additional
   information is stored to facilitate load balancing among these
   multiple paths at the time of path selection.  Specifically, we store
   the advertised available bandwidth on the link from the neighbor to
   the destination in the entry.

   With this change, the basic approach used to extract the complete
   list of vertices on a path from the neighbor information in the QoS
   routing table is to proceed `recursively' from the destination to the
   origin vertex.  The path is extracted by stepping through the
   precomputed QoS routing table from vertex to vertex, and identifying
   at each step the corresponding neighbor (precursor) information.  The
   process is described as recursive since the neighbor node identified
   in one step becomes the destination node for table look up in the
   next step.  Once the source router is reached, the concatenation of
   all the neighbor fields that have been extracted forms the desired
   explicit route.  This applies to algorithms of <a href="#section-2.3.1">Section 2.3.1</a> and
   <a href="#appendix-C">Appendix C</a>.  If at a particular stage there are multiple neighbor
   choices (due to equal cost multi-paths), one of them can be chosen at
   random with a probability that is weighted, for example, by the



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   associated bandwidth on the link from the neighbor to the (current)
   destination.

   Specifically, assume a new request to destination, say, d, and with
   bandwidth requirements B.  The index of the destination vertex
   identifies the row in the QoS routing table that needs to be checked
   to generate a path.  The row is then searched to identify a suitable
   path.  If the Bellman-Ford algorithm of <a href="#section-2.3.1">Section 2.3.1</a> was used, the
   search proceeds by increasing index (hop) count until an entry is
   found, say at hop count or column index of h, with a value of the bw
   field that is equal to or greater than B.  This entry points to the
   initial information identifying the selected path.  If the Dijkstra
   algorithm of <a href="#appendix-C">Appendix C</a> is used, the first quantized value qB such
   that qB  &gt;=   B is first identified, and the associated column then
   determines the first entry in the QoS routing table that identifies
   the selected path.

   Once this first entry has been identified, reconstruction of the
   complete list of vertices on the path proceeds similarly, whether the
   table was built using the algorithm of <a href="#section-2.3.1">Section 2.3.1</a> or <a href="#appendix-C">Appendix C</a>.
   Specifically, in both cases, the neighbor field in each entry points
   to the previous node on the path from the source node and with the
   same bandwidth capabilities as those associated with the current
   entry.  The complete path is, therefore, reconstructed by following
   the pointers provided by the neighbor field of successive entries.

   In the case of the Bellman-Ford algorithm of <a href="#section-2.3.1">Section 2.3.1</a>, this
   means moving backwards in the table from column to column, using at
   each step the row index pointed to by the neighbor field of the entry
   in the previous column.  Each time, the corresponding vertex index
   specified in the neighbor field is pre-pended to the list of vertices
   constructed so far.  Since we start at column h, the process ends
   when the first column is reached, i.e., after h steps, at which point
   the list of vertices making up the path has been reconstructed.

   In the case of the Dijkstra algorithm of <a href="#appendix-C">Appendix C</a>, the backtracking
   process is similar although slightly different because of the
   different relation between paths and columns in the routing table,
   i.e., a column now corresponds to a quantized bandwidth value instead
   of a hop count.  The backtracking now proceeds along the column
   corresponding to the quantized bandwidth value needed to satisfy the
   bandwidth requirements of the flow.  At each step, the vertex index
   specified in the neighbor field is pre-pended to the list of vertices
   constructed so far, and is used to identify the next row index to
   move to.  The process ends when an entry is reached whose neighbor
   field specifies the origin vertex of the flow.  Note that since there
   are as many rows in the table as there are vertices in the graph,
   i.e., N, it could take up to N steps before the process terminates.



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   Note that the identification of the first entry in the routing table
   is identical to what was described for the hop-by-hop routing case.
   However, as described in this section, the update of the neighbor
   fields while constructing the QoS routing tables, is being performed
   differently in the explicit and hop-by-hop routing cases.  Clearly,
   two different neighbor fields can be kept in each entry and updates
   to both could certainly be performed jointly, if support for both
   xplicit routing and hop-by-hop routing is needed.

Endnotes

   1. In this document we commit the abuse of notation of calling a
      "network" the interconnection of routers and networks through
      which we attempt to compute a QoS path.

   2. This is true for uni-cast flows, but in the case of multi-cast
      flows, hop-by-hop and an explicit routing clearly have different
      implications.

   3. Some hysteresis mechanism should be added to suppress updates when
      the metric value oscillates around a class boundary.

   4. In this document, we use the terms node and vertex
      interchangeably.

   5. Various hybrid methods can also be envisioned, e.g., periodic
      computations except if more than a given number of updates are
      received within a shorter interval, or periodic updates except if
      the change in metrics corresponding to a given update exceeds a
      certain threshold.  Such variations are, however, not considered
      in this document.

   6. Modifications to support explicit routing are discussed in
      <a href="#appendix-D">Appendix D</a>.

   7. Note, that this does not say anything on whether to differentiate
      between outgoing and incoming bandwidth on a shared media network.
      As a matter of fact, a reasonable option is to set the incoming
      bandwidth (from network to router) to infinity, and only use the
      outgoing bandwidth value to characterize bandwidth availability on
      the shared network.

   8. exponent in parenthesis

   9. Access to some of the more recent versions of the GateD software
      is restricted to the GateD consortium members.





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   10. Note that a Breadth-First-Search (BFS) algorithm [<a href="#ref-CLR90" title="C. E. Leiserson">CLR90</a>] could
      also be used.  It has a lower complexity, but would not allow
      reuse of existing code in an OSPF implementation.

References

   [<a id="ref-AGK99">AGK99</a>]  G. Apostolopoulos, R. Guerin, and S. Kamat. Implementation
            and performance meassurements of QoS routing extensions to
            OSPF.  In Proceedings of INFOCOM'99, pages 680--688, New
            York, NY, March 1999.

   [<a id="ref-AGKT98">AGKT98</a>] G. Apostolopoulos, R. Guerin, S. Kamat, and S. K. Tripathi.
            QoS routing:  A performance perspective.  In Proceedings of
            ACM SIGCOMM'98, pages 17--28, Vancouver, Canada, October

   [<a id="ref-Alm92">Alm92</a>]  Almquist, P., "Type of Service in the Internet Protocol
            Suite", <a href="./rfc1349">RFC 1349</a>, July 1992.

   [<a id="ref-AT98">AT98</a>]   G. Apostolopoulos and S. K. Tripathi.  On reducing the
            processing cost of on-demand QoS path computation.  In
            Proceedings of ICNP'98, pages 80--89, Austin, TX, October
            1998.

   [<a id="ref-BP95">BP95</a>]   J.-Y. Le Boudec and T. Przygienda.  A Route Pre-Computation
            Algorithm for Integrated Services Networks.  Journal of
            Network and Systems Management, 3(4), 1995.

   [<a id="ref-Car79">Car79</a>]  B. Carre.  Graphs and Networks.  Oxford University Press,
            ISBN 0-19-859622-7, Oxford, UK, 1979.

   [<a id="ref-CLR90">CLR90</a>]  T. H. Cormen, C. E. Leiserson, and R. L. Rivest.
            Introduction to Algorithms.  MIT Press, Cambridge, MA, 1990.

   [<a id="ref-Con">Con</a>]    Merit GateD Consortium.  The Gate Daemon (GateD) project.

   [<a id="ref-GJ79">GJ79</a>]   M.R. Garey and D.S. Johnson.  Computers and Intractability.
            Freeman, San Francisco, 1979.

   [<a id="ref-GKH97">GKH97</a>]  R. Guerin, S. Kamat, and S. Herzog.  QoS Path Management
            with RSVP.  In Proceedings of the 2nd IEEE Global Internet
            Mini-Conference, pages 1914-1918, Phoenix, AZ, November

   [<a id="ref-GKR97">GKR97</a>]  Guerin, R., Kamat, S. and E. Rosen, "An Extended RSVP
            Routing Interface, Work in Progress.

   [GLG+97] Der-Hwa G., Li, T., Guerin, R., Rosen, E. and S. Kamat,
            "Setting Up Reservations on Explicit Paths using RSVP", Work
            in Progress.



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   [<a id="ref-GO99">GO99</a>]   R. Guerin and A. Orda.  QoS-Based Routing in Networks with
            Inaccurate Information: Theory and Algorithms.  IEEE/ACM
            Transactions on Networking, 7(3):350--364, June 1999.


   [<a id="ref-GOW97">GOW97</a>]  R. Guerin, A. Orda, and D. Williams.  QoS Routing Mechanisms
            and OSPF Extensions.  In Proceedings of the 2nd IEEE Global
            Internet Mini-Conference, pages 1903-1908, Phoenix, AZ,
            November 1997.

   [<a id="ref-KNB98">KNB98</a>]  Nichols, K., Blake, S., Baker F. and D. Black, "Definition
            of the Differentiated Services Field (DS Field) in the IPv4
            and IPv6 Headers", <a href="./rfc2474">RFC 2474</a>, December 1998.

   [<a id="ref-LO98">LO98</a>]   D. H. Lorenz and A. Orda.  QoS Routing in Networks with
            Uncertain Parameters.  IEEE/ACM Transactions on Networking,
            6(6):768--778, December 1998.

   [<a id="ref-Moy94">Moy94</a>]  Moy, J., "OSPF Version 2", <a href="./rfc1583">RFC 1583</a>, March 1994.

   [<a id="ref-Moy98">Moy98</a>]  Moy, J., "OSPF Version 2", STD 54, <a href="./rfc2328">RFC 2328</a>, April 1998.

   [<a id="ref-Prz95">Prz95</a>]  A. Przygienda.  Link State Routing with QoS in ATM LANs.
            Ph.D. Thesis Nr. 11051, Swiss Federal Institute of
            Technology, April 1995.

   [RMK+98] R. Rajan, J. C. Martin, S. Kamat, M. See, R. Chaudhury, D.
            Verma, G. Powers, and R. Yavatkar.  Schema for
            differentiated services and integrated services in networks.
            INTERNET-DRAFT, October 1998.  work in progress.

   [RZB+97] Braden, R., Editor, Zhang, L., Berson, S., Herzog, S. and S.
            Jamin, "Resource reSerVation Protocol (RSVP) Version 1,
            Functional Specification", <a href="./rfc2205">RFC 2205</a>, September 1997.

   [<a id="ref-SPG97">SPG97</a>]  Shenker, S., Partridge, C. and R. Guerin, "Specification of
            Guaranteed Quality of Service", <a href="./rfc2212">RFC 2212</a>, November 1997.

   [<a id="ref-ST83">ST83</a>]   D.D. Sleator and R.E. Tarjan.  A Data Structure for Dynamic
            Trees.  Journal of Computer Systems, 26, 1983.

   [<a id="ref-Tan89">Tan89</a>]  A. Tannenbaum.  Computer Networks.  Addisson Wesley, 1989.

   [<a id="ref-YPG97">YPG97</a>]  Yavatkar, R., Pendarakis, D. and R. Guerin, "A Framework for
            Policy-based Admission Control", INTERNET-DRAFT, April 1999.
            Work in Progress.





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Authors' Addresses

   George Apostolopoulos
   IBM T.J. Watson Research Center
   P.O. Box 704
   Yorktown Heights, NY 10598

   Phone: +1 914 784-6204
   Fax:   +1 914 784-6205
   EMail: georgeap@watson.ibm.com


   Roch Guerin
   University Of Pennsylvania
   Department of Electrical Engineering, Rm 367 GRW
   200 South 33rd Street
   Philadelphia, PA 19104--6390

   Phone: +1 215-898-9351
   EMail: guerin@ee.upenn.edu


   Sanjay Kamat
   Bell Laboratories
   Lucent Technologies
   Room 4C-510
   101 Crawfords Corner Road
   Holmdel, NJ 07733

   Phone: (732) 949-5936
   email: sanjayk@dnrc.bell-labs.com


   Ariel Orda
   Dept. Electrical Engineering
   Technion - I.I.T
   Haifa, 32000 - ISRAEL

   Phone: +011 972-4-8294646
   Fax:   +011 972-4-8323041
   EMail: ariel@ee.technion.ac.il










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   Tony Przygienda
   Siara Systems
   300 Ferguson Drive
   Moutain View
   California 94043

   Phone: +1 732 949-5936
   Email: prz@siara.com


   Doug Williams
   IBM T.J. Watson Research Center
   P.O. Box 704
   Yorktown Heights, NY 10598

   Phone: +1 914 784-5047
   Fax:   +1 914 784-6318
   EMail: dougw@watson.ibm.com

































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Full Copyright Statement

   Copyright (C) The Internet Society (1999).  All Rights Reserved.

   This document and translations of it may be copied and furnished to
   others, and derivative works that comment on or otherwise explain it
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   The limited permissions granted above are perpetual and will not be
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   This document and the information contained herein is provided on an
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   TASK FORCE DISCLAIMS ALL WARRANTIES, EXPRESS OR IMPLIED, INCLUDING
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Acknowledgement

   Funding for the RFC Editor function is currently provided by the
   Internet Society.



















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