r711:cc61d09f053b
Tue, 12 May 2009 12:08:06
[Not Reviewed]
0 comments (0 inline)
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| ... | ... |
@@ -175,5 +175,5 @@ |
| 175 | 175 |
bool checkPotential( const GR& gr, const LM& lower, const UM& upper, |
| 176 | 176 |
const CM& cost, const SM& supply, const FM& flow, |
| 177 |
const PM& pi ) |
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const PM& pi, SupplyType type ) |
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| 178 | 178 |
{
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| 179 | 179 |
TEMPLATE_DIGRAPH_TYPEDEFS(GR); |
| ... | ... |
@@ -194,5 +194,9 @@ |
| 194 | 194 |
for (InArcIt e(gr, n); e != INVALID; ++e) |
| 195 | 195 |
sum -= flow[e]; |
| 196 |
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if (type != LEQ) {
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opt = (pi[n] <= 0) && (sum == supply[n] || pi[n] == 0); |
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} else {
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opt = (pi[n] >= 0) && (sum == supply[n] || pi[n] == 0); |
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} |
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| 197 | 201 |
} |
| 198 | 202 |
|
| ... | ... |
@@ -200,4 +204,38 @@ |
| 200 | 204 |
} |
| 201 | 205 |
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// Check whether the dual cost is equal to the primal cost |
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template < typename GR, typename LM, typename UM, |
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typename CM, typename SM, typename PM > |
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bool checkDualCost( const GR& gr, const LM& lower, const UM& upper, |
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const CM& cost, const SM& supply, const PM& pi, |
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typename CM::Value total ) |
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{
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TEMPLATE_DIGRAPH_TYPEDEFS(GR); |
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typename CM::Value dual_cost = 0; |
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SM red_supply(gr); |
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for (NodeIt n(gr); n != INVALID; ++n) {
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red_supply[n] = supply[n]; |
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} |
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for (ArcIt a(gr); a != INVALID; ++a) {
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if (lower[a] != 0) {
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dual_cost += lower[a] * cost[a]; |
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red_supply[gr.source(a)] -= lower[a]; |
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red_supply[gr.target(a)] += lower[a]; |
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} |
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} |
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for (NodeIt n(gr); n != INVALID; ++n) {
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dual_cost -= red_supply[n] * pi[n]; |
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} |
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for (ArcIt a(gr); a != INVALID; ++a) {
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typename CM::Value red_cost = |
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cost[a] + pi[gr.source(a)] - pi[gr.target(a)]; |
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dual_cost -= (upper[a] - lower[a]) * std::max(-red_cost, 0); |
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} |
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return dual_cost == total; |
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} |
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// Run a minimum cost flow algorithm and check the results |
| 203 | 241 |
template < typename MCF, typename GR, |
| ... | ... |
@@ -221,6 +259,8 @@ |
| 221 | 259 |
"The flow is not feasible " + test_id); |
| 222 | 260 |
check(mcf.totalCost() == total, "The flow is not optimal " + test_id); |
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check(checkPotential(gr, lower, upper, cost, supply, flow, pi), |
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check(checkPotential(gr, lower, upper, cost, supply, flow, pi, type), |
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| 224 | 262 |
"Wrong potentials " + test_id); |
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check(checkDualCost(gr, lower, upper, cost, supply, pi, total), |
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"Wrong dual cost " + test_id); |
|
| 225 | 265 |
} |
| 226 | 266 |
} |
| ... | ... |
@@ -267,43 +307,54 @@ |
| 267 | 307 |
.run(); |
| 268 | 308 |
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// Build a test digraph for testing negative costs |
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Digraph ngr; |
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Node n1 = ngr.addNode(); |
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Node n2 = ngr.addNode(); |
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Node n3 = ngr.addNode(); |
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Node n4 = ngr.addNode(); |
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Node n5 = ngr.addNode(); |
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Node n6 = ngr.addNode(); |
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// Build test digraphs with negative costs |
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Digraph neg_gr; |
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Node n1 = neg_gr.addNode(); |
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Node n2 = neg_gr.addNode(); |
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Node n3 = neg_gr.addNode(); |
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Node n4 = neg_gr.addNode(); |
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Node n5 = neg_gr.addNode(); |
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Node n6 = neg_gr.addNode(); |
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Node n7 = neg_gr.addNode(); |
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| 278 | 318 |
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Arc a1 = ngr.addArc(n1, n2); |
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Arc a2 = ngr.addArc(n1, n3); |
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Arc a3 = ngr.addArc(n2, n4); |
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Arc a4 = ngr.addArc(n3, n4); |
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Arc a5 = ngr.addArc(n3, n2); |
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Arc a6 = ngr.addArc(n5, n3); |
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Arc a7 = ngr.addArc(n5, n6); |
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Arc a8 = ngr.addArc(n6, n7); |
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Arc |
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Arc a1 = neg_gr.addArc(n1, n2); |
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Arc a2 = neg_gr.addArc(n1, n3); |
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Arc a3 = neg_gr.addArc(n2, n4); |
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Arc a4 = neg_gr.addArc(n3, n4); |
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Arc a5 = neg_gr.addArc(n3, n2); |
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Arc a6 = neg_gr.addArc(n5, n3); |
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Arc a7 = neg_gr.addArc(n5, n6); |
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Arc a8 = neg_gr.addArc(n6, n7); |
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Arc a9 = neg_gr.addArc(n7, n5); |
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| 288 | 328 |
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Digraph::ArcMap<int> nc(ngr), nl1(ngr, 0), nl2(ngr, 0); |
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ConstMap<Arc, int> nu1(std::numeric_limits<int>::max()), nu2(5000); |
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Digraph:: |
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Digraph::ArcMap<int> neg_c(neg_gr), neg_l1(neg_gr, 0), neg_l2(neg_gr, 0); |
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ConstMap<Arc, int> neg_u1(std::numeric_limits<int>::max()), neg_u2(5000); |
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Digraph::NodeMap<int> neg_s(neg_gr, 0); |
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| 292 | 332 |
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nl2[a7] = 1000; |
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nl2[a8] = -1000; |
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neg_l2[a7] = 1000; |
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neg_l2[a8] = -1000; |
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| 295 | 335 |
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ns[n1] = 100; |
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ns[n4] = -100; |
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neg_s[n1] = 100; |
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neg_s[n4] = -100; |
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| 298 | 338 |
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nc[a1] = 100; |
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nc[a2] = 30; |
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nc[a3] = 20; |
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nc[a4] = 80; |
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nc[a5] = 50; |
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nc[a6] = 10; |
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nc[a7] = 80; |
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nc[a8] = 30; |
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neg_c[a1] = 100; |
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neg_c[a2] = 30; |
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neg_c[a3] = 20; |
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neg_c[a4] = 80; |
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neg_c[a5] = 50; |
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neg_c[a6] = 10; |
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neg_c[a7] = 80; |
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neg_c[a8] = 30; |
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neg_c[a9] = -120; |
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Digraph negs_gr; |
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Digraph::NodeMap<int> negs_s(negs_gr); |
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Digraph::ArcMap<int> negs_c(negs_gr); |
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ConstMap<Arc, int> negs_l(0), negs_u(1000); |
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n1 = negs_gr.addNode(); |
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n2 = negs_gr.addNode(); |
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negs_s[n1] = 100; |
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negs_s[n2] = -300; |
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negs_c[negs_gr.addArc(n1, n2)] = -1; |
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// A. Test NetworkSimplex with the default pivot rule |
| ... | ... |
@@ -343,5 +394,5 @@ |
| 343 | 394 |
checkMcf(mcf, mcf.lowerMap(l2).run(), |
| 344 | 395 |
gr, l2, u, c, s5, mcf.OPTIMAL, true, 4540, "#A11", GEQ); |
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mcf. |
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mcf.supplyMap(s6); |
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| 346 | 397 |
checkMcf(mcf, mcf.run(), |
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gr, l2, u, c, s6, mcf.INFEASIBLE, false, 0, "#A12", GEQ); |
| ... | ... |
@@ -354,18 +405,24 @@ |
| 354 | 405 |
checkMcf(mcf, mcf.lowerMap(l2).run(), |
| 355 | 406 |
gr, l2, u, c, s6, mcf.OPTIMAL, true, 5930, "#A14", LEQ); |
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mcf. |
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mcf.supplyMap(s5); |
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| 357 | 408 |
checkMcf(mcf, mcf.run(), |
| 358 | 409 |
gr, l2, u, c, s5, mcf.INFEASIBLE, false, 0, "#A15", LEQ); |
| 359 | 410 |
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| 360 | 411 |
// Check negative costs |
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NetworkSimplex<Digraph> nmcf(ngr); |
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nmcf.lowerMap(nl1).costMap(nc).supplyMap(ns); |
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checkMcf(nmcf, nmcf.run(), |
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ngr, nl1, nu1, nc, ns, nmcf.UNBOUNDED, false, 0, "#A16"); |
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checkMcf(nmcf, nmcf.upperMap(nu2).run(), |
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ngr, nl1, nu2, nc, ns, nmcf.OPTIMAL, true, -40000, "#A17"); |
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nmcf.reset().lowerMap(nl2).costMap(nc).supplyMap(ns); |
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checkMcf(nmcf, nmcf.run(), |
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NetworkSimplex<Digraph> neg_mcf(neg_gr); |
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neg_mcf.lowerMap(neg_l1).costMap(neg_c).supplyMap(neg_s); |
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checkMcf(neg_mcf, neg_mcf.run(), neg_gr, neg_l1, neg_u1, |
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neg_c, neg_s, neg_mcf.UNBOUNDED, false, 0, "#A16"); |
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neg_mcf.upperMap(neg_u2); |
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checkMcf(neg_mcf, neg_mcf.run(), neg_gr, neg_l1, neg_u2, |
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neg_c, neg_s, neg_mcf.OPTIMAL, true, -40000, "#A17"); |
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neg_mcf.reset().lowerMap(neg_l2).costMap(neg_c).supplyMap(neg_s); |
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checkMcf(neg_mcf, neg_mcf.run(), neg_gr, neg_l2, neg_u1, |
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neg_c, neg_s, neg_mcf.UNBOUNDED, false, 0, "#A18"); |
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NetworkSimplex<Digraph> negs_mcf(negs_gr); |
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negs_mcf.costMap(negs_c).supplyMap(negs_s); |
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checkMcf(negs_mcf, negs_mcf.run(), negs_gr, negs_l, negs_u, |
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negs_c, negs_s, negs_mcf.OPTIMAL, true, -300, "#A19", GEQ); |
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| 370 | 427 |
} |
| 371 | 428 |
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