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import org.gnu.glpk.*;
/**
* Minimum Cost Flow.
*
*/
public class MinimumCostFlow {
/**
* Main method.
* @param args Command line arguments
*/
public static void main(String[] args) {
glp_prob lp;
glp_arc arc;
glp_java_arc_data adata;
glp_java_vertex_data vdata;
try {
glp_graph graph =
GLPK.glp_create_graph(
GLPKConstants.GLP_JAVA_V_SIZE,
GLPKConstants.GLP_JAVA_A_SIZE);
GLPK.glp_set_graph_name(graph,
MinimumCostFlow.class.getName());
int ret = GLPK.glp_add_vertices(graph, 9);
GLPK.glp_set_vertex_name(graph, 1, "v1");
GLPK.glp_set_vertex_name(graph, 2, "v2");
GLPK.glp_set_vertex_name(graph, 3, "v3");
GLPK.glp_set_vertex_name(graph, 4, "v4");
GLPK.glp_set_vertex_name(graph, 5, "v5");
GLPK.glp_set_vertex_name(graph, 6, "v6");
GLPK.glp_set_vertex_name(graph, 7, "v7");
GLPK.glp_set_vertex_name(graph, 8, "v8");
GLPK.glp_set_vertex_name(graph, 9, "v9");
vdata = GLPK.glp_java_vertex_data_get(graph, 1);
vdata.setRhs(20);
vdata = GLPK.glp_java_vertex_data_get(graph, 9);
vdata.setRhs(-20);
arc = GLPK.glp_add_arc(graph, 1, 2);
adata = GLPK.glp_java_arc_get_data(arc);
adata.setLow(0); adata.setCap(14); adata.setCost(0);
arc = GLPK.glp_add_arc(graph, 1, 4);
adata = GLPK.glp_java_arc_get_data(arc);
adata.setLow(0); adata.setCap(23); adata.setCost(0);
arc = GLPK.glp_add_arc(graph, 2, 4);
adata = GLPK.glp_java_arc_get_data(arc);
adata.setLow(0); adata.setCap(9); adata.setCost(3);
arc = GLPK.glp_add_arc(graph, 2, 3);
adata = GLPK.glp_java_arc_get_data(arc);
adata.setLow(0); adata.setCap(10); adata.setCost(2);
arc = GLPK.glp_add_arc(graph, 4, 5);
adata = GLPK.glp_java_arc_get_data(arc);
adata.setLow(0); adata.setCap(26); adata.setCost(0);
arc = GLPK.glp_add_arc(graph, 5, 2);
adata = GLPK.glp_java_arc_get_data(arc);
adata.setLow(0); adata.setCap(11); adata.setCost(1);
arc = GLPK.glp_add_arc(graph, 3, 8);
adata = GLPK.glp_java_arc_get_data(arc);
adata.setLow(0); adata.setCap(18); adata.setCost(0);
arc = GLPK.glp_add_arc(graph, 3, 5);
adata = GLPK.glp_java_arc_get_data(arc);
adata.setLow(2); adata.setCap(12); adata.setCost(1);
arc = GLPK.glp_add_arc(graph, 5, 6);
adata = GLPK.glp_java_arc_get_data(arc);
adata.setLow(0); adata.setCap(25); adata.setCost(5);
arc = GLPK.glp_add_arc(graph, 5, 7);
adata = GLPK.glp_java_arc_get_data(arc);
adata.setLow(0); adata.setCap(4); adata.setCost(7);
arc = GLPK.glp_add_arc(graph, 6, 7);
adata = GLPK.glp_java_arc_get_data(arc);
adata.setLow(0); adata.setCap(7); adata.setCost(0);
arc = GLPK.glp_add_arc(graph, 6, 8);
adata = GLPK.glp_java_arc_get_data(arc);
adata.setLow(4); adata.setCap(8); adata.setCost(0);
arc = GLPK.glp_add_arc(graph, 8, 9);
adata = GLPK.glp_java_arc_get_data(arc);
adata.setLow(0); adata.setCap(20); adata.setCost(9);
arc = GLPK.glp_add_arc(graph, 7, 9);
adata = GLPK.glp_java_arc_get_data(arc);
adata.setLow(0); adata.setCap(15); adata.setCost(3);
GLPK.glp_write_mincost(graph,
GLPKConstants.GLP_JAVA_V_RHS,
GLPKConstants.GLP_JAVA_A_LOW,
GLPKConstants.GLP_JAVA_A_CAP,
GLPKConstants.GLP_JAVA_A_COST,
"mincost.dimacs");
lp = GLPK.glp_create_prob();
GLPK.glp_mincost_lp(lp, graph,
GLPKConstants.GLP_ON, // use symbolic names
GLPKConstants.GLP_JAVA_V_RHS,
GLPKConstants.GLP_JAVA_A_LOW,
GLPKConstants.GLP_JAVA_A_CAP,
GLPKConstants.GLP_JAVA_A_COST);
GLPK.glp_delete_graph(graph);
GLPK.glp_write_lp(lp, null, "mincost.lp");
GLPK.glp_delete_prob(lp);
} catch (org.gnu.glpk.GlpkException ex) {
System.out.println(ex.getMessage());
System.exit(1);
}
}
}
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