Jip J. Dekker
1d9faf38de
git-subtree-dir: software/gecode git-subtree-split: 313e87646da4fc2752a70e83df16d993121a8e40
338 lines
11 KiB
C++
338 lines
11 KiB
C++
/* -*- mode: C++; c-basic-offset: 2; indent-tabs-mode: nil -*- */
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/*
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* Main authors:
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* Christian Schulte <schulte@gecode.org>
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*
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* Copyright:
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* Christian Schulte, 2007
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*
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* Bugfixes provided by:
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* Geoffrey Chu
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*
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* This file is part of Gecode, the generic constraint
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* development environment:
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* http://www.gecode.org
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*
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* Permission is hereby granted, free of charge, to any person obtaining
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* a copy of this software and associated documentation files (the
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* "Software"), to deal in the Software without restriction, including
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* without limitation the rights to use, copy, modify, merge, publish,
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* distribute, sublicense, and/or sell copies of the Software, and to
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* permit persons to whom the Software is furnished to do so, subject to
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* the following conditions:
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*
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* The above copyright notice and this permission notice shall be
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* included in all copies or substantial portions of the Software.
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*
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* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
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* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
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* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
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* NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
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* LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
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* OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
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* WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
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*
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*/
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#include <gecode/driver.hh>
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#include <gecode/int.hh>
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#include <gecode/minimodel.hh>
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#include <algorithm>
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using namespace Gecode;
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/// Support for %TSP instances
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namespace {
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/// This instance is taken from SICStus Prolog
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const int PA_n = 7;
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const int PA_d[PA_n*PA_n] = {
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0,205,677,581,461,878,345,
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205,0,882,427,390,1105,540,
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677,882,0,619,316,201,470,
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581,427,619,0,412,592,570,
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461,390,316,412,0,517,190,
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878,1105,201,592,517,0,691,
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345,540,470,570,190,691,0
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};
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/// This instance is taken from SICStus Prolog
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const int PB_n = 10;
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const int PB_d[PB_n*PB_n] = {
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2,4,4,1,9,2,4,4,1,9,
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2,9,5,5,5,2,9,5,5,5,
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1,5,2,3,3,1,5,2,3,3,
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2,6,8,9,5,2,6,8,9,5,
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3,7,1,6,4,3,7,1,6,4,
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1,2,4,1,7,1,2,4,1,7,
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3,5,2,7,6,3,5,2,7,6,
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2,7,9,5,5,2,7,9,5,5,
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3,9,7,3,4,3,9,7,3,4,
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4,1,5,9,2,4,1,5,9,2
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};
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/// This instance is br17.atsp from TSPLIB
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const int PC_n = 17;
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const int PC_d[PC_n*PC_n] = {
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0,3,5,48,48,8,8,5,5,3,3,0,3,5,8,8,5,
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3,0,3,48,48,8,8,5,5,0,0,3,0,3,8,8,5,
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5,3,0,72,72,48,48,24,24,3,3,5,3,0,48,48,24,
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48,48,74,0,0,6,6,12,12,48,48,48,48,74,6,6,12,
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48,48,74,0,0,6,6,12,12,48,48,48,48,74,6,6,12,
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8,8,50,6,6,0,0,8,8,8,8,8,8,50,0,0,8,
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8,8,50,6,6,0,0,8,8,8,8,8,8,50,0,0,8,
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5,5,26,12,12,8,8,0,0,5,5,5,5,26,8,8,0,
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5,5,26,12,12,8,8,0,0,5,5,5,5,26,8,8,0,
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3,0,3,48,48,8,8,5,5,0,0,3,0,3,8,8,5,
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3,0,3,48,48,8,8,5,5,0,0,3,0,3,8,8,5,
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0,3,5,48,48,8,8,5,5,3,3,0,3,5,8,8,5,
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3,0,3,48,48,8,8,5,5,0,0,3,0,3,8,8,5,
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5,3,0,72,72,48,48,24,24,3,3,5,3,0,48,48,24,
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8,8,50,6,6,0,0,8,8,8,8,8,8,50,0,0,8,
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8,8,50,6,6,0,0,8,8,8,8,8,8,50,0,0,8,
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5,5,26,12,12,8,8,0,0,5,5,5,5,26,8,8,0
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};
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/// This instance is ftv33.atsp from TSPLIB
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const int PD_n = 34;
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const int PD_d[PD_n*PD_n] = {
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0,26,82,65,100,147,134,69,117,42,89,125,38,13,38,31,22,103,
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143,94,104,123,98,58,38,30,67,120,149,100,93,162,62,66,66,0,
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56,39,109,156,140,135,183,108,155,190,104,79,104,97,88,130,176,121,
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131,150,125,85,65,57,94,147,160,80,67,189,128,40,43,57,0,16,
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53,100,84,107,155,85,132,168,81,56,81,74,65,146,186,137,147,166,
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141,101,81,73,110,163,164,102,71,205,105,62,27,41,62,0,97,144,
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131,96,144,69,116,152,65,40,65,58,49,130,170,121,131,150,125,85,
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65,57,94,147,166,86,73,189,89,46,109,135,161,174,0,47,34,54,
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102,67,114,175,97,96,128,135,131,198,193,203,213,232,207,167,147,139,
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176,229,222,204,148,235,60,175,157,171,114,130,60,0,40,114,162,127,
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174,235,157,156,188,188,179,258,253,251,239,258,203,215,195,187,172,207,
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175,157,101,295,120,133,143,169,132,148,34,31,0,88,133,101,148,209,
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131,130,162,169,165,232,227,237,247,266,221,201,181,173,190,225,193,175,
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119,269,94,151,95,121,177,160,54,101,88,0,48,53,100,158,83,82,
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114,121,117,184,179,189,199,218,193,153,133,125,162,215,244,195,188,221,
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46,161,79,105,161,144,91,138,125,37,0,37,53,114,67,66,98,105,
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101,137,132,149,183,202,177,137,117,109,146,199,228,179,172,174,57,145,
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42,68,124,107,67,114,101,27,75,0,47,108,30,29,61,68,64,131,
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126,136,146,165,140,100,80,72,109,162,191,142,135,168,20,108,83,109,
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165,148,108,155,142,68,88,41,0,61,71,70,102,109,105,84,79,96,
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144,163,175,141,121,113,150,203,232,183,176,121,61,149,204,230,286,269,
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216,255,237,162,125,162,123,0,192,191,223,230,226,144,139,156,184,165,
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215,249,242,234,251,282,332,297,297,113,182,270,38,64,120,103,88,135,
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122,57,105,30,77,87,0,25,31,38,47,110,105,122,142,161,136,96,
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76,68,105,158,187,138,131,147,50,104,13,39,95,78,87,134,121,56,
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104,29,76,112,25,0,32,39,35,116,130,107,117,136,111,71,51,43,
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80,133,162,113,106,172,49,79,38,48,104,87,119,166,153,88,136,61,
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108,118,31,32,0,7,16,123,136,114,124,143,118,78,58,50,87,140,
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169,120,115,178,81,88,31,41,97,80,115,162,149,84,132,57,104,114,
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27,28,7,0,9,116,132,107,117,136,111,71,51,43,80,133,162,113,
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108,174,77,81,22,32,88,71,122,169,156,91,139,64,111,123,36,35,
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16,9,0,107,141,98,108,127,102,62,42,34,71,124,153,104,99,166,
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84,72,108,134,190,173,133,180,167,93,113,66,85,60,96,95,127,134,
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130,0,46,63,116,135,147,166,146,138,175,221,257,208,201,120,86,174,
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127,153,209,192,152,199,186,112,132,85,104,79,115,114,146,153,149,19,
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0,17,70,89,101,135,148,157,137,175,219,183,220,85,105,193,153,179,
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235,218,178,225,212,138,158,111,130,105,141,140,172,179,175,45,57,0,
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53,72,84,118,131,183,120,158,202,166,241,68,131,214,179,165,199,204,
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243,290,277,203,223,176,195,165,206,192,199,192,183,110,112,82,0,19,
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31,65,78,149,67,105,149,113,188,95,196,161,212,205,239,244,237,284,
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271,197,217,170,189,146,200,199,231,232,223,104,93,63,40,0,71,105,
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118,189,107,117,167,153,228,76,190,201,148,134,168,173,212,259,246,172,
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192,145,164,139,175,161,168,161,152,79,125,70,36,55,0,34,47,118,
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36,89,118,82,157,131,165,130,153,146,180,185,178,225,212,138,158,111,
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130,105,141,140,172,173,164,45,91,36,46,65,77,0,59,130,48,101,
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130,94,169,104,131,142,173,166,200,205,198,245,232,158,178,131,150,125,
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161,160,192,193,184,65,111,56,66,85,97,20,0,150,68,121,150,114,
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189,124,151,162,30,16,72,55,125,172,156,99,147,72,119,133,68,43,
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50,43,34,73,119,64,74,93,68,28,8,0,37,90,119,70,83,132,
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92,56,112,98,132,137,185,232,216,181,223,154,195,170,150,125,132,125,
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116,110,156,101,67,86,31,65,78,82,0,53,82,46,121,162,174,94,
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144,130,164,169,217,256,225,213,261,186,233,234,182,157,164,157,148,174,
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209,165,131,116,95,129,122,114,93,0,50,78,147,192,206,126,94,80,
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114,119,167,214,198,163,211,136,183,197,132,107,114,107,98,137,183,128,
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110,129,74,92,72,64,43,57,0,28,103,196,156,76,66,52,101,91,
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154,201,185,135,183,108,155,169,104,79,86,79,70,109,155,100,82,101,
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46,64,44,36,15,68,97,0,90,168,128,63,113,108,70,86,84,131,
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115,138,186,151,198,225,151,126,142,135,126,165,211,156,138,157,102,120,
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100,92,71,124,93,56,0,224,144,32,146,172,228,211,171,218,205,131,
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151,104,123,80,134,133,165,172,168,38,27,44,75,76,106,140,153,176,
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142,180,224,188,239,0,124,212,102,128,184,167,61,108,95,7,55,60,
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107,165,90,89,121,128,124,191,186,196,206,225,200,160,140,132,169,222,
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251,202,195,228,0,168,81,95,38,54,91,138,122,145,193,123,170,206,
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119,94,119,112,103,184,224,175,165,184,129,139,119,111,98,151,120,83,
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27,243,143,0
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};
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/// Problem instance
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class Problem {
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private:
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const int _n; ///< Size
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const int* _d; ///< Distances
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public:
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/// Initialize problem instance
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Problem(const int n, const int* d);
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/// Return size of instance
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int size(void) const;
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/// Return distance between node \a i and \a j
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int d(int i, int j) const;
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/// Return distances
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const int* d(void) const;
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/// Return estimate for maximal cost of a path
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int max(void) const;
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};
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inline
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Problem::Problem(const int n, const int* d)
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: _n(n), _d(d) {}
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inline int
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Problem::size(void) const {
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return _n;
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}
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inline int
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Problem::d(int i, int j) const {
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return _d[i*_n+j];
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}
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inline const int*
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Problem::d(void) const {
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return _d;
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}
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inline int
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Problem::max(void) const {
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int m=0;
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for (int i=0; i<_n*_n; i++)
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m = std::max(m,_d[i]);
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return m*_n;
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}
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Problem PA(PA_n,PA_d);
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Problem PB(PB_n,PB_d);
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Problem PC(PC_n,PC_d);
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Problem PD(PD_n,PD_d);
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Problem ps[] = {PA,PB,PC,PD};
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const unsigned int ps_n = sizeof(ps) / sizeof(Problem);
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}
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/**
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* \brief %Example: Travelling salesman problem (%TSP)
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*
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* Simple travelling salesman problem instances. Just meant
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* as a test for circuit.
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*
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* \ingroup Example
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*
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*/
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class TSP : public IntMinimizeScript {
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protected:
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/// Problem instance to be solved
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Problem p;
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/// Successor edges
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IntVarArray succ;
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/// Total cost of travel
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IntVar total;
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public:
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/// Actual model
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TSP(const SizeOptions& opt)
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: IntMinimizeScript(opt),
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p(ps[opt.size()]),
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succ(*this, p.size(), 0, p.size()-1),
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total(*this, 0, p.max()) {
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int n = p.size();
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// Cost matrix
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IntArgs c(n*n, p.d());
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// Disallow disconnected nodes
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for (int i=0; i<n; i++)
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for (int j=0; j<n; j++)
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if (p.d(i,j) == 0)
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rel(*this, succ[i], IRT_NQ, j);
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// Cost of each edge
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IntVarArgs costs(*this, n, Int::Limits::min, Int::Limits::max);
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// Enforce that the succesors yield a tour with appropriate costs
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circuit(*this, c, succ, costs, total, opt.ipl());
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// Just assume that the circle starts forwards
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{
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IntVar p0(*this, 0, n-1);
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element(*this, succ, p0, 0);
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rel(*this, p0, IRT_LE, succ[0]);
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}
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// First enumerate cost values, prefer those that maximize cost reduction
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branch(*this, costs, INT_VAR_REGRET_MAX_MAX(), INT_VAL_MIN());
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// Then fix the remaining successors
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branch(*this, succ, INT_VAR_MIN_MIN(), INT_VAL_MIN());
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}
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/// Return solution cost
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virtual IntVar cost(void) const {
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return total;
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}
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/// Constructor for cloning \a s
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TSP(TSP& s) : IntMinimizeScript(s), p(s.p) {
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succ.update(*this, s.succ);
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total.update(*this, s.total);
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}
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/// Copy during cloning
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virtual Space*
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copy(void) {
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return new TSP(*this);
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}
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/// Print solution
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virtual void
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print(std::ostream& os) const {
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bool assigned = true;
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for (int i=0; i<succ.size(); i++) {
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if (!succ[i].assigned()) {
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assigned = false;
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break;
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}
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}
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if (assigned) {
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os << "\tTour: ";
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int i=0;
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do {
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os << i << " -> ";
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i=succ[i].val();
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} while (i != 0);
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os << 0 << std::endl;
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os << "\tCost: " << total << std::endl;
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} else {
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os << "\tTour: " << std::endl;
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for (int i=0; i<succ.size(); i++) {
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os << "\t" << i << " -> " << succ[i] << std::endl;
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}
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os << "\tCost: " << total << std::endl;
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}
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}
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};
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/** \brief Main-function
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* \relates TSP
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*/
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int
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main(int argc, char* argv[]) {
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SizeOptions opt("TSP");
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opt.solutions(0);
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opt.ipl(IPL_DOM);
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opt.parse(argc,argv);
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if (opt.size() >= ps_n) {
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std::cerr << "Error: size must be between 0 and "
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<< ps_n-1 << std::endl;
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return 1;
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}
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IntMinimizeScript::run<TSP,BAB,SizeOptions>(opt);
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return 0;
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}
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// STATISTICS: example-any
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