1 | #region License Information
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2 | /* HeuristicLab
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3 | * Copyright (C) 2002-2015 Heuristic and Evolutionary Algorithms Laboratory (HEAL)
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4 | *
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5 | * This file is part of HeuristicLab.
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6 | *
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7 | * HeuristicLab is free software: you can redistribute it and/or modify
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8 | * it under the terms of the GNU General Public License as published by
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9 | * the Free Software Foundation, either version 3 of the License, or
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10 | * (at your option) any later version.
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11 | *
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12 | * HeuristicLab is distributed in the hope that it will be useful,
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13 | * but WITHOUT ANY WARRANTY; without even the implied warranty of
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14 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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15 | * GNU General Public License for more details.
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16 | *
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17 | * You should have received a copy of the GNU General Public License
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18 | * along with HeuristicLab. If not, see <http://www.gnu.org/licenses/>.
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19 | */
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20 | #endregion
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21 |
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22 | using System;
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23 | using System.Collections.Generic;
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24 | using System.Drawing;
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25 | using System.Linq;
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26 | using HeuristicLab.Common;
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27 | using HeuristicLab.Core;
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28 | using HeuristicLab.Data;
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29 | using HeuristicLab.Encodings.PermutationEncoding;
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30 | using HeuristicLab.Optimization;
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31 | using HeuristicLab.Parameters;
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32 | using HeuristicLab.Persistence.Default.CompositeSerializers.Storable;
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33 | using HeuristicLab.PluginInfrastructure;
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34 | using HeuristicLab.Problems.Instances;
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35 |
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36 | namespace HeuristicLab.Problems.QuadraticAssignment {
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37 | [Item("Quadratic Assignment Problem (QAP)", "The Quadratic Assignment Problem (QAP) can be described as the problem of assigning N facilities to N fixed locations such that there is exactly one facility in each location and that the sum of the distances multiplied by the connection strength between the facilities becomes minimal.")]
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38 | [Creatable(CreatableAttribute.Categories.CombinatorialProblems, Priority = 140)]
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39 | [StorableType("5B77ECCC-8A58-471C-82FF-AC71126E8337")]
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40 | public sealed class QuadraticAssignmentProblem : SingleObjectiveHeuristicOptimizationProblem<IQAPEvaluator, IPermutationCreator>, IStorableContent,
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41 | IProblemInstanceConsumer<QAPData>,
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42 | IProblemInstanceConsumer<TSPData> {
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43 | public string Filename { get; set; }
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44 |
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45 | public static new Image StaticItemImage {
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46 | get { return HeuristicLab.Common.Resources.VSImageLibrary.Type; }
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47 | }
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48 |
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49 | #region Parameter Properties
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50 | public IValueParameter<ItemSet<Permutation>> BestKnownSolutionsParameter {
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51 | get { return (IValueParameter<ItemSet<Permutation>>)Parameters["BestKnownSolutions"]; }
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52 | }
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53 | public IValueParameter<Permutation> BestKnownSolutionParameter {
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54 | get { return (IValueParameter<Permutation>)Parameters["BestKnownSolution"]; }
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55 | }
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56 | public IValueParameter<DoubleMatrix> WeightsParameter {
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57 | get { return (IValueParameter<DoubleMatrix>)Parameters["Weights"]; }
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58 | }
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59 | public IValueParameter<DoubleMatrix> DistancesParameter {
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60 | get { return (IValueParameter<DoubleMatrix>)Parameters["Distances"]; }
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61 | }
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62 | public IValueParameter<DoubleValue> LowerBoundParameter {
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63 | get { return (IValueParameter<DoubleValue>)Parameters["LowerBound"]; }
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64 | }
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65 | public IValueParameter<DoubleValue> AverageQualityParameter {
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66 | get { return (IValueParameter<DoubleValue>)Parameters["AverageQuality"]; }
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67 | }
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68 | #endregion
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69 |
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70 | #region Properties
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71 | public ItemSet<Permutation> BestKnownSolutions {
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72 | get { return BestKnownSolutionsParameter.Value; }
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73 | set { BestKnownSolutionsParameter.Value = value; }
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74 | }
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75 | public Permutation BestKnownSolution {
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76 | get { return BestKnownSolutionParameter.Value; }
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77 | set { BestKnownSolutionParameter.Value = value; }
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78 | }
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79 | public DoubleMatrix Weights {
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80 | get { return WeightsParameter.Value; }
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81 | set { WeightsParameter.Value = value; }
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82 | }
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83 | public DoubleMatrix Distances {
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84 | get { return DistancesParameter.Value; }
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85 | set { DistancesParameter.Value = value; }
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86 | }
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87 | public DoubleValue LowerBound {
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88 | get { return LowerBoundParameter.Value; }
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89 | set { LowerBoundParameter.Value = value; }
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90 | }
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91 | public DoubleValue AverageQuality {
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92 | get { return AverageQualityParameter.Value; }
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93 | set { AverageQualityParameter.Value = value; }
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94 | }
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95 |
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96 | private BestQAPSolutionAnalyzer BestQAPSolutionAnalyzer {
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97 | get { return Operators.OfType<BestQAPSolutionAnalyzer>().FirstOrDefault(); }
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98 | }
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99 |
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100 | private QAPAlleleFrequencyAnalyzer QAPAlleleFrequencyAnalyzer {
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101 | get { return Operators.OfType<QAPAlleleFrequencyAnalyzer>().FirstOrDefault(); }
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102 | }
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103 |
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104 | private QAPPopulationDiversityAnalyzer QAPPopulationDiversityAnalyzer {
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105 | get { return Operators.OfType<QAPPopulationDiversityAnalyzer>().FirstOrDefault(); }
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106 | }
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107 | #endregion
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108 |
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109 | [StorableConstructor]
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110 | private QuadraticAssignmentProblem(bool deserializing) : base(deserializing) { }
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111 | private QuadraticAssignmentProblem(QuadraticAssignmentProblem original, Cloner cloner)
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112 | : base(original, cloner) {
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113 | RegisterEventHandlers();
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114 | }
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115 | public QuadraticAssignmentProblem()
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116 | : base(new QAPEvaluator(), new RandomPermutationCreator()) {
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117 | Parameters.Add(new OptionalValueParameter<ItemSet<Permutation>>("BestKnownSolutions", "The list of best known solutions which is updated whenever a new better solution is found or may be the optimal solution if it is known beforehand.", null));
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118 | Parameters.Add(new OptionalValueParameter<Permutation>("BestKnownSolution", "The best known solution which is updated whenever a new better solution is found or may be the optimal solution if it is known beforehand.", null));
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119 | Parameters.Add(new ValueParameter<DoubleMatrix>("Weights", "The strength of the connection between the facilities.", new DoubleMatrix(5, 5)));
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120 | Parameters.Add(new ValueParameter<DoubleMatrix>("Distances", "The distance matrix which can either be specified directly without the coordinates, or can be calculated automatically from the coordinates.", new DoubleMatrix(5, 5)));
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121 | Parameters.Add(new OptionalValueParameter<DoubleValue>("LowerBound", "The Gilmore-Lawler lower bound to the solution quality."));
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122 | Parameters.Add(new OptionalValueParameter<DoubleValue>("AverageQuality", "The expected quality of a random solution."));
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123 |
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124 | Maximization.Value = false;
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125 | MaximizationParameter.Hidden = true;
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126 |
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127 | WeightsParameter.GetsCollected = false;
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128 | Weights = new DoubleMatrix(new double[,] {
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129 | { 0, 1, 0, 0, 1 },
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130 | { 1, 0, 1, 0, 0 },
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131 | { 0, 1, 0, 1, 0 },
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132 | { 0, 0, 1, 0, 1 },
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133 | { 1, 0, 0, 1, 0 }
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134 | });
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135 |
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136 | DistancesParameter.GetsCollected = false;
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137 | Distances = new DoubleMatrix(new double[,] {
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138 | { 0, 360, 582, 582, 360 },
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139 | { 360, 0, 360, 582, 582 },
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140 | { 582, 360, 0, 360, 582 },
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141 | { 582, 582, 360, 0, 360 },
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142 | { 360, 582, 582, 360, 0 }
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143 | });
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144 |
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145 | SolutionCreator.PermutationParameter.ActualName = "Assignment";
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146 | ParameterizeSolutionCreator();
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147 | ParameterizeEvaluator();
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148 |
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149 | InitializeOperators();
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150 | RegisterEventHandlers();
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151 | }
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152 |
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153 | public override IDeepCloneable Clone(Cloner cloner) {
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154 | return new QuadraticAssignmentProblem(this, cloner);
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155 | }
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156 |
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157 | [StorableHook(HookType.AfterDeserialization)]
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158 | private void AfterDeserialization() {
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159 | // BackwardsCompatibility3.3
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160 | #region Backwards compatible code, remove with 3.4
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161 | if (!Parameters.ContainsKey("BestKnownSolutions")) {
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162 | Parameters.Add(new OptionalValueParameter<ItemSet<Permutation>>("BestKnownSolutions", "The list of best known solutions which is updated whenever a new better solution is found or may be the optimal solution if it is known beforehand.", null));
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163 | } else if (Parameters["BestKnownSolutions"].GetType().Equals(typeof(OptionalValueParameter<ItemList<Permutation>>))) {
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164 | ItemList<Permutation> list = ((OptionalValueParameter<ItemList<Permutation>>)Parameters["BestKnownSolutions"]).Value;
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165 | Parameters.Remove("BestKnownSolutions");
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166 | Parameters.Add(new OptionalValueParameter<ItemSet<Permutation>>("BestKnownSolutions", "The list of best known solutions which is updated whenever a new better solution is found or may be the optimal solution if it is known beforehand.", (list != null ? new ItemSet<Permutation>(list) : null)));
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167 | }
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168 | if (Parameters.ContainsKey("DistanceMatrix")) {
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169 | DoubleMatrix d = ((ValueParameter<DoubleMatrix>)Parameters["DistanceMatrix"]).Value;
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170 | Parameters.Remove("DistanceMatrix");
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171 | Parameters.Add(new ValueParameter<DoubleMatrix>("Distances", "The distance matrix which can either be specified directly without the coordinates, or can be calculated automatically from the coordinates.", d));
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172 | }
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173 | if (!Parameters.ContainsKey("LowerBound")) {
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174 | Parameters.Add(new OptionalValueParameter<DoubleValue>("LowerBound", "The Gilmore-Lawler lower bound to the solution quality."));
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175 | LowerBound = new DoubleValue(GilmoreLawlerBoundCalculator.CalculateLowerBound(Weights, Distances));
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176 | }
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177 | if (!Parameters.ContainsKey("AverageQuality")) {
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178 | Parameters.Add(new OptionalValueParameter<DoubleValue>("AverageQuality", "The expected quality of a random solution."));
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179 | AverageQuality = new DoubleValue(ComputeAverageQuality());
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180 | }
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181 | #endregion
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182 | RegisterEventHandlers();
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183 | }
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184 |
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185 | #region Events
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186 | protected override void OnSolutionCreatorChanged() {
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187 | SolutionCreator.PermutationParameter.ActualNameChanged += new EventHandler(SolutionCreator_PermutationParameter_ActualNameChanged);
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188 | ParameterizeSolutionCreator();
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189 | ParameterizeEvaluator();
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190 | ParameterizeAnalyzers();
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191 | ParameterizeOperators();
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192 | base.OnSolutionCreatorChanged();
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193 | }
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194 | protected override void OnEvaluatorChanged() {
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195 | Evaluator.QualityParameter.ActualNameChanged += new EventHandler(Evaluator_QualityParameter_ActualNameChanged);
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196 | ParameterizeEvaluator();
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197 | ParameterizeAnalyzers();
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198 | ParameterizeOperators();
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199 | base.OnEvaluatorChanged();
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200 | }
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201 |
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202 | private void SolutionCreator_PermutationParameter_ActualNameChanged(object sender, EventArgs e) {
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203 | ParameterizeEvaluator();
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204 | ParameterizeAnalyzers();
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205 | ParameterizeOperators();
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206 | }
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207 | private void Evaluator_QualityParameter_ActualNameChanged(object sender, EventArgs e) {
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208 | ParameterizeAnalyzers();
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209 | ParameterizeOperators();
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210 | }
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211 | private void WeightsParameter_ValueChanged(object sender, EventArgs e) {
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212 | Weights.RowsChanged += new EventHandler(Weights_RowsChanged);
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213 | Weights.ColumnsChanged += new EventHandler(Weights_ColumnsChanged);
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214 | Weights.ToStringChanged += new EventHandler(Weights_ToStringChanged);
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215 | ParameterizeSolutionCreator();
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216 | ParameterizeEvaluator();
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217 | ParameterizeOperators();
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218 | AdjustDistanceMatrix();
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219 | }
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220 | private void Weights_RowsChanged(object sender, EventArgs e) {
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221 | if (Weights.Rows != Weights.Columns)
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222 | ((IStringConvertibleMatrix)Weights).Columns = Weights.Rows;
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223 | else {
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224 | ParameterizeSolutionCreator();
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225 | ParameterizeEvaluator();
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226 | ParameterizeOperators();
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227 | AdjustDistanceMatrix();
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228 | }
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229 | }
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230 | private void Weights_ColumnsChanged(object sender, EventArgs e) {
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231 | if (Weights.Rows != Weights.Columns)
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232 | ((IStringConvertibleMatrix)Weights).Rows = Weights.Columns;
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233 | else {
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234 | ParameterizeSolutionCreator();
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235 | ParameterizeEvaluator();
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236 | ParameterizeOperators();
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237 | AdjustDistanceMatrix();
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238 | }
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239 | }
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240 | private void Weights_ToStringChanged(object sender, EventArgs e) {
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241 | UpdateParameterValues();
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242 | }
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243 | private void DistancesParameter_ValueChanged(object sender, EventArgs e) {
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244 | Distances.RowsChanged += new EventHandler(Distances_RowsChanged);
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245 | Distances.ColumnsChanged += new EventHandler(Distances_ColumnsChanged);
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246 | Distances.ToStringChanged += new EventHandler(Distances_ToStringChanged);
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247 | ParameterizeSolutionCreator();
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248 | ParameterizeEvaluator();
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249 | ParameterizeOperators();
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250 | AdjustWeightsMatrix();
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251 | }
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252 | private void Distances_RowsChanged(object sender, EventArgs e) {
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253 | if (Distances.Rows != Distances.Columns)
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254 | ((IStringConvertibleMatrix)Distances).Columns = Distances.Rows;
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255 | else {
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256 | ParameterizeSolutionCreator();
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257 | ParameterizeEvaluator();
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258 | ParameterizeOperators();
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259 | AdjustWeightsMatrix();
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260 | }
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261 | }
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262 | private void Distances_ColumnsChanged(object sender, EventArgs e) {
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263 | if (Distances.Rows != Distances.Columns)
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264 | ((IStringConvertibleMatrix)Distances).Rows = Distances.Columns;
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265 | else {
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266 | ParameterizeSolutionCreator();
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267 | ParameterizeEvaluator();
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268 | ParameterizeOperators();
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269 | AdjustWeightsMatrix();
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270 | }
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271 | }
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272 | private void Distances_ToStringChanged(object sender, EventArgs e) {
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273 | UpdateParameterValues();
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274 | }
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275 | #endregion
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276 |
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277 | private void RegisterEventHandlers() {
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278 | SolutionCreator.PermutationParameter.ActualNameChanged += new EventHandler(SolutionCreator_PermutationParameter_ActualNameChanged);
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279 | Evaluator.QualityParameter.ActualNameChanged += new EventHandler(Evaluator_QualityParameter_ActualNameChanged);
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280 | WeightsParameter.ValueChanged += new EventHandler(WeightsParameter_ValueChanged);
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281 | Weights.RowsChanged += new EventHandler(Weights_RowsChanged);
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282 | Weights.ColumnsChanged += new EventHandler(Weights_ColumnsChanged);
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283 | Weights.ToStringChanged += new EventHandler(Weights_ToStringChanged);
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284 | DistancesParameter.ValueChanged += new EventHandler(DistancesParameter_ValueChanged);
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285 | Distances.RowsChanged += new EventHandler(Distances_RowsChanged);
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286 | Distances.ColumnsChanged += new EventHandler(Distances_ColumnsChanged);
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287 | Distances.ToStringChanged += new EventHandler(Distances_ToStringChanged);
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288 | }
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289 |
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290 | #region Helpers
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291 | private void InitializeOperators() {
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292 | var defaultOperators = new HashSet<IPermutationOperator>(new IPermutationOperator[] {
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293 | new PartiallyMatchedCrossover(),
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294 | new Swap2Manipulator(),
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295 | new ExhaustiveSwap2MoveGenerator()
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296 | });
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297 | Operators.AddRange(defaultOperators);
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298 | Operators.AddRange(ApplicationManager.Manager.GetInstances<IPermutationOperator>().Except(defaultOperators, new TypeEqualityComparer<IPermutationOperator>()));
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299 | Operators.RemoveAll(x => x is ISingleObjectiveMoveEvaluator);
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300 | Operators.AddRange(ApplicationManager.Manager.GetInstances<IQAPMoveEvaluator>());
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301 | Operators.Add(new BestQAPSolutionAnalyzer());
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302 | Operators.Add(new QAPAlleleFrequencyAnalyzer());
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303 | Operators.Add(new QAPPopulationDiversityAnalyzer());
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304 |
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305 | Operators.Add(new QAPExhaustiveInsertionLocalImprovement());
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306 | Operators.Add(new QAPExhaustiveInversionLocalImprovement());
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307 | Operators.Add(new QAPStochasticScrambleLocalImprovement());
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308 | Operators.Add(new QAPExhaustiveSwap2LocalImprovement());
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309 |
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310 | Operators.Add(new QAPSimilarityCalculator());
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311 | ParameterizeAnalyzers();
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312 | ParameterizeOperators();
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313 | }
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314 | private void ParameterizeSolutionCreator() {
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315 | if (SolutionCreator != null) {
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316 | SolutionCreator.PermutationTypeParameter.Value = new PermutationType(PermutationTypes.Absolute);
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317 | SolutionCreator.LengthParameter.Value = new IntValue(Weights.Rows);
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318 | }
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319 | }
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320 | private void ParameterizeEvaluator() {
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321 | if (Evaluator != null) {
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322 | Evaluator.PermutationParameter.ActualName = SolutionCreator.PermutationParameter.ActualName;
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323 | Evaluator.DistancesParameter.ActualName = DistancesParameter.Name;
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324 | Evaluator.WeightsParameter.ActualName = WeightsParameter.Name;
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325 | }
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326 | }
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327 | private void ParameterizeAnalyzers() {
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328 | if (BestQAPSolutionAnalyzer != null) {
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329 | BestQAPSolutionAnalyzer.QualityParameter.ActualName = Evaluator.QualityParameter.ActualName;
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330 | BestQAPSolutionAnalyzer.DistancesParameter.ActualName = DistancesParameter.Name;
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331 | BestQAPSolutionAnalyzer.WeightsParameter.ActualName = WeightsParameter.Name;
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332 | BestQAPSolutionAnalyzer.PermutationParameter.ActualName = SolutionCreator.PermutationParameter.ActualName;
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333 | BestQAPSolutionAnalyzer.ResultsParameter.ActualName = "Results";
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334 | BestQAPSolutionAnalyzer.BestKnownQualityParameter.ActualName = BestKnownQualityParameter.Name;
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335 | BestQAPSolutionAnalyzer.BestKnownSolutionsParameter.ActualName = BestKnownSolutionsParameter.Name;
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336 | BestQAPSolutionAnalyzer.MaximizationParameter.ActualName = MaximizationParameter.Name;
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337 | }
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338 | if (QAPAlleleFrequencyAnalyzer != null) {
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339 | QAPAlleleFrequencyAnalyzer.QualityParameter.ActualName = Evaluator.QualityParameter.ActualName;
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340 | QAPAlleleFrequencyAnalyzer.BestKnownSolutionParameter.ActualName = BestKnownSolutionParameter.Name;
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341 | QAPAlleleFrequencyAnalyzer.DistancesParameter.ActualName = DistancesParameter.Name;
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342 | QAPAlleleFrequencyAnalyzer.MaximizationParameter.ActualName = MaximizationParameter.Name;
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343 | QAPAlleleFrequencyAnalyzer.ResultsParameter.ActualName = "Results";
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344 | QAPAlleleFrequencyAnalyzer.SolutionParameter.ActualName = SolutionCreator.PermutationParameter.ActualName;
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345 | QAPAlleleFrequencyAnalyzer.WeightsParameter.ActualName = WeightsParameter.Name;
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346 | }
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347 | if (QAPPopulationDiversityAnalyzer != null) {
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348 | QAPPopulationDiversityAnalyzer.MaximizationParameter.ActualName = MaximizationParameter.Name;
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349 | QAPPopulationDiversityAnalyzer.QualityParameter.ActualName = Evaluator.QualityParameter.ActualName;
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350 | QAPPopulationDiversityAnalyzer.ResultsParameter.ActualName = "Results";
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351 | QAPPopulationDiversityAnalyzer.SolutionParameter.ActualName = SolutionCreator.PermutationParameter.ActualName;
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352 | }
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353 | }
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354 | private void ParameterizeOperators() {
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355 | foreach (IPermutationCrossover op in Operators.OfType<IPermutationCrossover>()) {
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356 | op.ParentsParameter.ActualName = SolutionCreator.PermutationParameter.ActualName;
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357 | op.ChildParameter.ActualName = SolutionCreator.PermutationParameter.ActualName;
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358 | }
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359 | foreach (IPermutationManipulator op in Operators.OfType<IPermutationManipulator>()) {
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360 | op.PermutationParameter.ActualName = SolutionCreator.PermutationParameter.ActualName;
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361 | }
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362 | foreach (IPermutationMoveOperator op in Operators.OfType<IPermutationMoveOperator>()) {
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363 | op.PermutationParameter.ActualName = SolutionCreator.PermutationParameter.ActualName;
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364 | }
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365 | if (Operators.OfType<IMoveGenerator>().Any()) {
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366 | if (Operators.OfType<IMoveGenerator>().OfType<IPermutationInversionMoveOperator>().Any()) {
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367 | string inversionMove = Operators.OfType<IMoveGenerator>().OfType<IPermutationInversionMoveOperator>().First().InversionMoveParameter.ActualName;
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368 | foreach (IPermutationInversionMoveOperator op in Operators.OfType<IPermutationInversionMoveOperator>())
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369 | op.InversionMoveParameter.ActualName = inversionMove;
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370 | }
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371 | if (Operators.OfType<IMoveGenerator>().OfType<IPermutationTranslocationMoveOperator>().Any()) {
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372 | string translocationMove = Operators.OfType<IMoveGenerator>().OfType<IPermutationTranslocationMoveOperator>().First().TranslocationMoveParameter.ActualName;
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373 | foreach (IPermutationTranslocationMoveOperator op in Operators.OfType<IPermutationTranslocationMoveOperator>())
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374 | op.TranslocationMoveParameter.ActualName = translocationMove;
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375 | }
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376 | if (Operators.OfType<IMoveGenerator>().OfType<IPermutationSwap2MoveOperator>().Any()) {
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377 | string swapMove = Operators.OfType<IMoveGenerator>().OfType<IPermutationSwap2MoveOperator>().First().Swap2MoveParameter.ActualName;
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378 | foreach (IPermutationSwap2MoveOperator op in Operators.OfType<IPermutationSwap2MoveOperator>()) {
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379 | op.Swap2MoveParameter.ActualName = swapMove;
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380 | }
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381 | }
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382 | }
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383 | foreach (var op in Operators.OfType<IPermutationMultiNeighborhoodShakingOperator>())
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384 | op.PermutationParameter.ActualName = SolutionCreator.PermutationParameter.ActualName;
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385 |
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386 | QAPExhaustiveSwap2LocalImprovement localOpt = Operators.OfType<QAPExhaustiveSwap2LocalImprovement>().SingleOrDefault();
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387 | if (localOpt != null) {
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388 | localOpt.AssignmentParameter.ActualName = SolutionCreator.PermutationParameter.ActualName;
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389 | localOpt.DistancesParameter.ActualName = DistancesParameter.Name;
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390 | localOpt.MaximizationParameter.ActualName = MaximizationParameter.Name;
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391 | localOpt.QualityParameter.ActualName = Evaluator.QualityParameter.ActualName;
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392 | localOpt.WeightsParameter.ActualName = WeightsParameter.Name;
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393 | }
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394 |
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395 | QAPSimilarityCalculator similarityCalculator = Operators.OfType<QAPSimilarityCalculator>().SingleOrDefault();
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396 | if (similarityCalculator != null) {
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397 | similarityCalculator.SolutionVariableName = SolutionCreator.PermutationParameter.ActualName;
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398 | similarityCalculator.QualityVariableName = Evaluator.QualityParameter.ActualName;
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399 | }
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400 | }
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401 |
|
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402 | private void AdjustDistanceMatrix() {
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403 | if (Distances.Rows != Weights.Rows || Distances.Columns != Weights.Columns) {
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404 | ((IStringConvertibleMatrix)Distances).Rows = Weights.Rows;
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405 | }
|
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406 | }
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407 |
|
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408 | private void AdjustWeightsMatrix() {
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409 | if (Weights.Rows != Distances.Rows || Weights.Columns != Distances.Columns) {
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410 | ((IStringConvertibleMatrix)Weights).Rows = Distances.Rows;
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411 | }
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412 | }
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413 |
|
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414 | private void UpdateParameterValues() {
|
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415 | Permutation lbSolution;
|
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416 | // calculate the optimum of a LAP relaxation and use it as lower bound of our QAP
|
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417 | LowerBound = new DoubleValue(GilmoreLawlerBoundCalculator.CalculateLowerBound(Weights, Distances, out lbSolution));
|
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418 | // evalute the LAP optimal solution as if it was a QAP solution
|
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419 | var lbSolutionQuality = QAPEvaluator.Apply(lbSolution, Weights, Distances);
|
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420 | // in case both qualities are the same it means that the LAP optimum is also a QAP optimum
|
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421 | if (LowerBound.Value.IsAlmost(lbSolutionQuality)) {
|
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422 | BestKnownSolution = lbSolution;
|
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423 | BestKnownQuality = new DoubleValue(LowerBound.Value);
|
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424 | }
|
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425 | AverageQuality = new DoubleValue(ComputeAverageQuality());
|
---|
426 | }
|
---|
427 |
|
---|
428 | private double ComputeAverageQuality() {
|
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429 | double rt = 0, rd = 0, wt = 0, wd = 0;
|
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430 | int n = Weights.Rows;
|
---|
431 | for (int i = 0; i < n; i++)
|
---|
432 | for (int j = 0; j < n; j++) {
|
---|
433 | if (i == j) {
|
---|
434 | rd += Distances[i, i];
|
---|
435 | wd += Weights[i, i];
|
---|
436 | } else {
|
---|
437 | rt += Distances[i, j];
|
---|
438 | wt += Weights[i, j];
|
---|
439 | }
|
---|
440 | }
|
---|
441 |
|
---|
442 | return rt * wt / (n * (n - 1)) + rd * wd / n;
|
---|
443 | }
|
---|
444 | #endregion
|
---|
445 |
|
---|
446 | public void Load(QAPData data) {
|
---|
447 | var weights = new DoubleMatrix(data.Weights);
|
---|
448 | var distances = new DoubleMatrix(data.Distances);
|
---|
449 | Name = data.Name;
|
---|
450 | Description = data.Description;
|
---|
451 | Load(weights, distances);
|
---|
452 | if (data.BestKnownQuality.HasValue) BestKnownQuality = new DoubleValue(data.BestKnownQuality.Value);
|
---|
453 | EvaluateAndLoadAssignment(data.BestKnownAssignment);
|
---|
454 | OnReset();
|
---|
455 | }
|
---|
456 |
|
---|
457 | public void Load(TSPData data) {
|
---|
458 | if (data.Dimension > 1000)
|
---|
459 | throw new System.IO.InvalidDataException("Instances with more than 1000 customers are not supported by the QAP.");
|
---|
460 | var weights = new DoubleMatrix(data.Dimension, data.Dimension);
|
---|
461 | for (int i = 0; i < data.Dimension; i++)
|
---|
462 | weights[i, (i + 1) % data.Dimension] = 1;
|
---|
463 | var distances = new DoubleMatrix(data.GetDistanceMatrix());
|
---|
464 | Name = data.Name;
|
---|
465 | Description = data.Description;
|
---|
466 | Load(weights, distances);
|
---|
467 | if (data.BestKnownQuality.HasValue) BestKnownQuality = new DoubleValue(data.BestKnownQuality.Value);
|
---|
468 | EvaluateAndLoadAssignment(data.BestKnownTour);
|
---|
469 | OnReset();
|
---|
470 | }
|
---|
471 |
|
---|
472 | public void Load(DoubleMatrix weights, DoubleMatrix distances) {
|
---|
473 | if (weights == null || weights.Rows == 0)
|
---|
474 | throw new System.IO.InvalidDataException("The given instance does not contain weights!");
|
---|
475 | if (weights.Rows != weights.Columns)
|
---|
476 | throw new System.IO.InvalidDataException("The weights matrix is not a square matrix!");
|
---|
477 | if (distances == null || distances.Rows == 0)
|
---|
478 | throw new System.IO.InvalidDataException("The given instance does not contain distances!");
|
---|
479 | if (distances.Rows != distances.Columns)
|
---|
480 | throw new System.IO.InvalidDataException("The distances matrix is not a square matrix!");
|
---|
481 | if (weights.Rows != distances.Columns)
|
---|
482 | throw new System.IO.InvalidDataException("The weights matrix and the distance matrix are not of equal size!");
|
---|
483 |
|
---|
484 | Weights = weights;
|
---|
485 | Distances = distances;
|
---|
486 |
|
---|
487 | BestKnownQuality = null;
|
---|
488 | BestKnownSolution = null;
|
---|
489 | BestKnownSolutions = null;
|
---|
490 | UpdateParameterValues();
|
---|
491 | }
|
---|
492 |
|
---|
493 | public void EvaluateAndLoadAssignment(int[] assignment) {
|
---|
494 | if (assignment == null || assignment.Length == 0) return;
|
---|
495 | var vector = new Permutation(PermutationTypes.Absolute, assignment);
|
---|
496 | var result = QAPEvaluator.Apply(vector, Weights, Distances);
|
---|
497 | BestKnownQuality = new DoubleValue(result);
|
---|
498 | BestKnownSolution = vector;
|
---|
499 | BestKnownSolutions = new ItemSet<Permutation>();
|
---|
500 | BestKnownSolutions.Add((Permutation)vector.Clone());
|
---|
501 | }
|
---|
502 | }
|
---|
503 | }
|
---|