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Reduce number of edges of the flow digraph

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This commit is contained in:
Alinson S. Xavier
2015-03-26 15:05:26 -04:00
parent c0d50a53e2
commit 554dd639e5
3 changed files with 71 additions and 70 deletions
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2
src/flow.c
View File

@@ -198,7 +198,7 @@ int flow_find_augmenting_path(
{
struct Node *n = queue[queue_start++];
n->mark = 2;
n->mark = 1;
for (int i = 0; i < n->degree; i++)
{

2
src/graph.c
View File

@@ -159,7 +159,7 @@ int get_cut_edges_from_marks(
struct Edge *e = &graph->edges[i];
struct Node *from = e->from;
struct Node *to = e->to;
if (from->mark && !to->mark)
if (from->mark != to->mark)
cut_edges[(*cut_edges_count)++] = e;
}

137
src/gtsp.c
View File

@@ -97,6 +97,8 @@ int GTSP_create_random_problem(
for (int i = 0; i < edge_count; i++)
for (int j = i + 1; j < node_count; j++)
{
if (clusters[i] == clusters[j]) continue;
edges[curr_edge * 2] = i;
edges[curr_edge * 2 + 1] = j;
weights[curr_edge] = get_euclidean_distance(x_coords, y_coords, i,
@@ -105,6 +107,8 @@ int GTSP_create_random_problem(
curr_edge++;
}
edge_count = curr_edge;
rval = graph_build(node_count, edge_count, edges, 0, graph);
abort_if(rval, "graph_build failed");
@@ -245,11 +249,7 @@ static int add_subtour_cut(
}
static int build_flow_digraph(
struct GTSP *data,
double *x,
struct Graph *digraph,
double *capacities,
struct Edge **edge_map)
struct GTSP *data, double *x, struct Graph *digraph, double *capacities)
{
int rval = 0;
@@ -270,28 +270,26 @@ static int build_flow_digraph(
int kc = 0;
for (int i = 0; i < graph->edge_count; i++)
{
// if (x[node_count + i] < LP_EPSILON) continue;
struct Edge *e = &graph->edges[i];
int from = e->from->index;
int to = e->to->index;
digraph_edges[ke++] = from;
digraph_edges[ke++] = to;
edge_map[kc] = e;
capacities[kc++] = x[node_count + i];
digraph_edges[ke++] = to;
digraph_edges[ke++] = from;
edge_map[kc] = e;
capacities[kc++] = 0;
digraph_edges[ke++] = to;
digraph_edges[ke++] = from;
edge_map[kc] = e;
capacities[kc++] = x[node_count + i];
digraph_edges[ke++] = from;
digraph_edges[ke++] = to;
edge_map[kc] = e;
capacities[kc++] = 0;
}
@@ -304,12 +302,10 @@ static int build_flow_digraph(
digraph_edges[ke++] = n->index;
digraph_edges[ke++] = node_count + cl;
edge_map[kc] = 0;
capacities[kc++] = 0;
digraph_edges[ke++] = node_count + cl;
digraph_edges[ke++] = n->index;
edge_map[kc] = 0;
capacities[kc++] = 0;
}
@@ -319,20 +315,19 @@ static int build_flow_digraph(
{
digraph_edges[ke++] = node_count + i;
digraph_edges[ke++] = node_count + data->cluster_count;
edge_map[kc] = 0;
capacities[kc++] = 0;
digraph_edges[ke++] = node_count + data->cluster_count;
digraph_edges[ke++] = node_count + i;
edge_map[kc] = 0;
capacities[kc++] = 0;
}
assert(ke == 2 * digraph_edge_count);
assert(kc == digraph_edge_count);
assert(ke <= 2 * digraph_edge_count);
assert(kc <= digraph_edge_count);
rval = graph_build(digraph_node_count, digraph_edge_count, digraph_edges, 1,
digraph);
// digraph_edge_count = kc;
rval = graph_build(digraph_node_count, kc, digraph_edges, 1, digraph);
abort_if(rval, "graph_build failed");
for (int i = 0; i < digraph_edge_count; i += 2)
@@ -346,23 +341,6 @@ static int build_flow_digraph(
return rval;
}
static int map_cut_edges_from_digraph_to_graph(
struct Edge **edge_map, int *cut_edges_count, struct Edge **cut_edges)
{
int count = 0;
for (int i = 0; i < (*cut_edges_count); i += 2)
{
struct Edge *e = edge_map[cut_edges[i]->index];
if (!e) continue;
cut_edges[count++] = e;
}
(*cut_edges_count) = count;
return 0;
}
void deactivate_cluster_node(double *capacities, struct Node *cluster_node)
{
for (int i = 0; i < cluster_node->degree; i++)
@@ -391,7 +369,6 @@ int find_exact_subtour_cuts_cluster_to_cluster(
struct GTSP *data,
struct Graph *digraph,
double *capacities,
struct Edge **edge_map,
int *added_cuts_count)
{
int rval = 0;
@@ -404,7 +381,7 @@ int find_exact_subtour_cuts_cluster_to_cluster(
struct Graph *graph = data->graph;
cut_edges = (struct Edge **) malloc(
digraph->edge_count * sizeof(struct Edge *));
graph->edge_count * sizeof(struct Edge *));
flow = (double *) malloc(digraph->edge_count * sizeof(double));
abort_if(!cut_edges, "could not allocate cut_edges");
abort_if(!flow, "could not allocate flow");
@@ -439,13 +416,20 @@ int find_exact_subtour_cuts_cluster_to_cluster(
if (flow_value >= 2 - LP_EPSILON) continue;
rval = get_cut_edges_from_marks(digraph, &cut_edges_count,
cut_edges);
log_verbose("Marked nodes:\n");
for (int k = 0; k < graph->node_count; k++)
{
graph->nodes[k].mark = digraph->nodes[k].mark;
if (digraph->nodes[k].mark) log_verbose(" %d\n", k);
}
rval = get_cut_edges_from_marks(graph, &cut_edges_count, cut_edges);
abort_if(rval, "get_cut_edges_from_marks failed");
rval = map_cut_edges_from_digraph_to_graph(edge_map,
&cut_edges_count, cut_edges);
abort_if(rval, "map_cut_edges_from_digraph_to_graph failed");
log_verbose("Cut edges:\n");
for (int k = 0; k < cut_edges_count; k++)
log_verbose(" %d %d (%d)\n", cut_edges[k]->from->index,
cut_edges[k]->to->index, cut_edges[k]->index);
rval = add_subtour_cut(lp, graph, 0, 0, cut_edges, cut_edges_count,
0);
@@ -468,7 +452,6 @@ int find_exact_subtour_cuts_node_to_cluster(
double *x,
struct Graph *digraph,
double *capacities,
struct Edge **edge_map,
int *added_cuts_count)
{
int rval = 0;
@@ -496,7 +479,7 @@ int find_exact_subtour_cuts_node_to_cluster(
struct Node *from = &digraph->nodes[i];
struct Node *to = &digraph->nodes[graph->node_count + j];
log_verbose("Sending flow from %d to cluster %d\n", i, j);
log_verbose("Sending flow from node %d to cluster %d (must be >= %.4lf)\n", i, j, 2*x[i]);
activate_cluster_node(capacities, to);
@@ -511,16 +494,27 @@ int find_exact_subtour_cuts_node_to_cluster(
deactivate_cluster_node(capacities, to);
if (flow_value >= 2 * x[i] - LP_EPSILON)
if (flow_value + LP_EPSILON >= 2 * x[i])
continue;
rval = get_cut_edges_from_marks(digraph, &cut_edges_count,
cut_edges);
log_verbose("Marked nodes:\n");
for (int k = 0; k < graph->node_count; k++)
{
graph->nodes[k].mark = digraph->nodes[k].mark;
if (graph->nodes[k].mark) log_verbose(" %d\n", k);
}
rval = get_cut_edges_from_marks(graph, &cut_edges_count, cut_edges);
abort_if(rval, "get_cut_edges_from_marks failed");
rval = map_cut_edges_from_digraph_to_graph(edge_map,
&cut_edges_count, cut_edges);
abort_if(rval, "map_cut_edges_from_digraph_to_graph failed");
log_verbose("Cut edges:\n");
for (int k = 0; k < cut_edges_count; k++)
{
struct Edge *e = cut_edges[k];
assert(e->from->mark != e->to->mark);
log_verbose(" %d (%d) %d (%d) [%d]\n", e->from->index, e->from->mark,
e->to->index, e->to->mark, e->index);
}
rval = add_subtour_cut(lp, graph, from, 0, cut_edges,
cut_edges_count, 1);
@@ -543,7 +537,6 @@ int find_exact_subtour_cuts_node_to_node(
double *x,
struct Graph *digraph,
double *capacities,
struct Edge **edge_map,
int *added_cuts_count)
{
int rval = 0;
@@ -595,19 +588,26 @@ int find_exact_subtour_cuts_node_to_node(
if (flow_value >= 2 * (x[i] + x[j] - 1) - LP_EPSILON)
continue;
rval = get_cut_edges_from_marks(digraph, &cut_edges_count, cut_edges);
log_verbose("Marked nodes:\n");
for (int k = 0; k < graph->node_count; k++)
{
graph->nodes[k].mark = digraph->nodes[k].mark;
if (digraph->nodes[k].mark) log_verbose(" %d\n", k);
}
rval = get_cut_edges_from_marks(graph, &cut_edges_count, cut_edges);
abort_if(rval, "get_cut_edges_from_marks failed");
rval = map_cut_edges_from_digraph_to_graph(edge_map, &cut_edges_count,
cut_edges);
abort_if(rval, "map_cut_edges_from_digraph_to_graph failed");
log_verbose("Cut edges:\n");
for (int k = 0; k < cut_edges_count; k++)
log_verbose(" %d %d (%d)\n", cut_edges[k]->from->index,
cut_edges[k]->to->index, cut_edges[k]->index);
rval = add_subtour_cut(lp, graph, from, to, cut_edges, cut_edges_count,
2);
abort_if(rval, "add_subtour_cut failed");
(*added_cuts_count)++;
goto CLEANUP;
}
CLEANUP:
@@ -623,7 +623,6 @@ int find_exact_subtour_cuts(
double *x = 0;
double *capacities = 0;
struct Edge **edge_map = 0;
int added_cuts_count = 0;
struct Graph *graph = data->graph;
@@ -635,11 +634,10 @@ int find_exact_subtour_cuts(
rval = LP_get_x(lp, x);
abort_if(rval, "LP_get_x failed");
#if LOG_LEVEL >= LOG_LEVEL_DEBUG
log_debug("Writing fractional solution to gtsp-frac.out\n");
#if LOG_LEVEL >= LOG_LEVEL_DEBUG
rval = GTSP_write_solution(data, "gtsp-frac.out", x);
abort_if(rval, "GTSP_write_solution failed");
#endif
#endif
struct Graph digraph;
graph_init(&digraph);
@@ -647,18 +645,15 @@ int find_exact_subtour_cuts(
int digraph_edge_count = 4 * graph->edge_count + 2 * graph->node_count +
2 * data->cluster_count;
edge_map = (struct Edge **) malloc(
digraph_edge_count * sizeof(struct Edge *));
capacities = (double *) malloc(digraph_edge_count * sizeof(double));
abort_if(!edge_map, "could not allocate edge_map");
abort_if(!capacities, "could not allocate capacities");
rval = build_flow_digraph(data, x, &digraph, capacities, edge_map);
rval = build_flow_digraph(data, x, &digraph, capacities);
abort_if(rval, "build_flow_digraph failed");
// Constraints (2.1)
rval = find_exact_subtour_cuts_cluster_to_cluster(lp, data, &digraph,
capacities, edge_map, &added_cuts_count);
capacities, &added_cuts_count);
abort_if(rval, "find_exact_subtour_cuts_cluster_to_cluster failed");
log_debug("Added %d cluster-to-cluster subtour cuts\n", added_cuts_count);
@@ -668,7 +663,7 @@ int find_exact_subtour_cuts(
// Constraints (2.2)
rval = find_exact_subtour_cuts_node_to_cluster(lp, data, x, &digraph,
capacities, edge_map, &added_cuts_count);
capacities, &added_cuts_count);
abort_if(rval, "find_exact_subtour_cuts_node_to_cluster failed");
log_debug("Added %d node-to-cluster subtour cuts\n", added_cuts_count);
@@ -676,7 +671,7 @@ int find_exact_subtour_cuts(
// Constraints (2.3)
rval = find_exact_subtour_cuts_node_to_node(lp, data, x, &digraph,
capacities, edge_map, &added_cuts_count);
capacities, &added_cuts_count);
abort_if(rval, "find_exact_subtour_cuts_node_to_node failed");
log_debug("Added %d node-to-node subtour cuts\n", added_cuts_count);
@@ -684,7 +679,6 @@ int find_exact_subtour_cuts(
CLEANUP:
graph_free(&digraph);
if (edge_map) free(edge_map);
if (capacities) free(capacities);
if (x) free(x);
return rval;
@@ -719,6 +713,12 @@ int GTSP_add_cutting_planes(struct LP *lp, struct GTSP *data)
rval = LP_optimize(lp, &is_infeasible);
abort_if(rval, "LP_optimize failed");
double obj_val;
rval = LP_get_obj_val(lp, &obj_val);
abort_if(rval, "LP_get_obj_val failed");
log_debug(" obj val = %.4lf\n", obj_val);
if (is_infeasible) break;
added_cuts_count += added_cuts_this_round;
@@ -915,6 +915,7 @@ static int GTSP_parse_args(int argc, char **argv)
if (input_cluster_count < 0)
{
input_cluster_count = (int) ceil(input_node_count / 5.0);
if (input_cluster_count < 3) input_cluster_count = 3;
}
if (input_node_count < 0)
@@ -923,7 +924,7 @@ static int GTSP_parse_args(int argc, char **argv)
rval = 1;
}
if(input_cluster_count > input_node_count)
if (input_cluster_count > input_node_count)
{
printf("Number of clusters must be at most number of nodes.\n");
rval = 1;