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.Linq;
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25 | using HeuristicLab.Common;
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26 | using HeuristicLab.Core;
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27 | using HeuristicLab.Data;
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28 | using HeuristicLab.Encodings.PermutationEncoding;
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29 | using HeuristicLab.Optimization;
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30 | using HeuristicLab.Parameters;
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31 | using HeuristicLab.Persistence.Default.CompositeSerializers.Storable;
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32 | using HeuristicLab.PluginInfrastructure;
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33 | using HeuristicLab.Problems.Instances;
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34 |
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35 | namespace HeuristicLab.Problems.QuadraticAssignment {
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36 | [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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37 | [Creatable(CreatableAttribute.Categories.CombinatorialProblems, Priority = 140)]
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38 | [StorableClass]
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39 | public sealed class QuadraticAssignmentProblem : SingleObjectiveHeuristicOptimizationProblem<IQAPEvaluator, IPermutationCreator>, IStorableContent,
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40 | IProblemInstanceConsumer<QAPData>,
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41 | IProblemInstanceConsumer<TSPData> {
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42 | public string Filename { get; set; }
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43 |
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44 |
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45 |
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46 | #region Parameter Properties
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47 | public IValueParameter<ItemSet<Permutation>> BestKnownSolutionsParameter
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48 | {
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49 | get { return (IValueParameter<ItemSet<Permutation>>)Parameters["BestKnownSolutions"]; }
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50 | }
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51 | public IValueParameter<Permutation> BestKnownSolutionParameter
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52 | {
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53 | get { return (IValueParameter<Permutation>)Parameters["BestKnownSolution"]; }
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54 | }
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55 | public IValueParameter<DoubleMatrix> WeightsParameter
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56 | {
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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 | {
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61 | get { return (IValueParameter<DoubleMatrix>)Parameters["Distances"]; }
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62 | }
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63 | public IValueParameter<DoubleValue> LowerBoundParameter
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64 | {
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65 | get { return (IValueParameter<DoubleValue>)Parameters["LowerBound"]; }
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66 | }
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67 | public IValueParameter<DoubleValue> AverageQualityParameter
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68 | {
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69 | get { return (IValueParameter<DoubleValue>)Parameters["AverageQuality"]; }
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70 | }
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71 | #endregion
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72 |
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73 | #region Properties
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74 | public ItemSet<Permutation> BestKnownSolutions
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75 | {
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76 | get { return BestKnownSolutionsParameter.Value; }
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77 | set { BestKnownSolutionsParameter.Value = value; }
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78 | }
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79 | public Permutation BestKnownSolution
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80 | {
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81 | get { return BestKnownSolutionParameter.Value; }
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82 | set { BestKnownSolutionParameter.Value = value; }
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83 | }
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84 | public DoubleMatrix Weights
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85 | {
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86 | get { return WeightsParameter.Value; }
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87 | set { WeightsParameter.Value = value; }
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88 | }
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89 | public DoubleMatrix Distances
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90 | {
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91 | get { return DistancesParameter.Value; }
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92 | set { DistancesParameter.Value = value; }
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93 | }
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94 | public DoubleValue LowerBound
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95 | {
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96 | get { return LowerBoundParameter.Value; }
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97 | set { LowerBoundParameter.Value = value; }
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98 | }
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99 | public DoubleValue AverageQuality
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100 | {
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101 | get { return AverageQualityParameter.Value; }
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102 | set { AverageQualityParameter.Value = value; }
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103 | }
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104 |
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105 | private BestQAPSolutionAnalyzer BestQAPSolutionAnalyzer
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106 | {
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107 | get { return Operators.OfType<BestQAPSolutionAnalyzer>().FirstOrDefault(); }
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108 | }
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109 |
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110 | private QAPAlleleFrequencyAnalyzer QAPAlleleFrequencyAnalyzer
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111 | {
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112 | get { return Operators.OfType<QAPAlleleFrequencyAnalyzer>().FirstOrDefault(); }
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113 | }
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114 |
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115 | private QAPPopulationDiversityAnalyzer QAPPopulationDiversityAnalyzer
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116 | {
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117 | get { return Operators.OfType<QAPPopulationDiversityAnalyzer>().FirstOrDefault(); }
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118 | }
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119 | #endregion
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120 |
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121 | [StorableConstructor]
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122 | private QuadraticAssignmentProblem(bool deserializing) : base(deserializing) { }
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123 | private QuadraticAssignmentProblem(QuadraticAssignmentProblem original, Cloner cloner)
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124 | : base(original, cloner) {
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125 | RegisterEventHandlers();
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126 | }
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127 | public QuadraticAssignmentProblem()
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128 | : base(new QAPEvaluator(), new RandomPermutationCreator()) {
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129 | 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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130 | 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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131 | Parameters.Add(new ValueParameter<DoubleMatrix>("Weights", "The strength of the connection between the facilities.", new DoubleMatrix(5, 5)));
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132 | 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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133 | Parameters.Add(new OptionalValueParameter<DoubleValue>("LowerBound", "The Gilmore-Lawler lower bound to the solution quality."));
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134 | Parameters.Add(new OptionalValueParameter<DoubleValue>("AverageQuality", "The expected quality of a random solution."));
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135 |
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136 | Maximization.Value = false;
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137 | MaximizationParameter.Hidden = true;
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138 |
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139 | WeightsParameter.GetsCollected = false;
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140 | Weights = new DoubleMatrix(new double[,] {
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141 | { 0, 1, 0, 0, 1 },
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142 | { 1, 0, 1, 0, 0 },
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143 | { 0, 1, 0, 1, 0 },
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144 | { 0, 0, 1, 0, 1 },
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145 | { 1, 0, 0, 1, 0 }
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146 | });
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147 |
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148 | DistancesParameter.GetsCollected = false;
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149 | Distances = new DoubleMatrix(new double[,] {
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150 | { 0, 360, 582, 582, 360 },
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151 | { 360, 0, 360, 582, 582 },
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152 | { 582, 360, 0, 360, 582 },
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153 | { 582, 582, 360, 0, 360 },
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154 | { 360, 582, 582, 360, 0 }
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155 | });
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156 |
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157 | SolutionCreator.PermutationParameter.ActualName = "Assignment";
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158 | ParameterizeSolutionCreator();
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159 | ParameterizeEvaluator();
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160 |
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161 | InitializeOperators();
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162 | RegisterEventHandlers();
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163 | }
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164 |
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165 | public override IDeepCloneable Clone(Cloner cloner) {
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166 | return new QuadraticAssignmentProblem(this, cloner);
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167 | }
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168 |
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169 | [StorableHook(HookType.AfterDeserialization)]
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170 | private void AfterDeserialization() {
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171 | // BackwardsCompatibility3.3
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172 | #region Backwards compatible code, remove with 3.4
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173 | if (!Parameters.ContainsKey("BestKnownSolutions")) {
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174 | 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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175 | } else if (Parameters["BestKnownSolutions"].GetType().Equals(typeof(OptionalValueParameter<ItemList<Permutation>>))) {
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176 | ItemList<Permutation> list = ((OptionalValueParameter<ItemList<Permutation>>)Parameters["BestKnownSolutions"]).Value;
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177 | Parameters.Remove("BestKnownSolutions");
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178 | 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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179 | }
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180 | if (Parameters.ContainsKey("DistanceMatrix")) {
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181 | DoubleMatrix d = ((ValueParameter<DoubleMatrix>)Parameters["DistanceMatrix"]).Value;
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182 | Parameters.Remove("DistanceMatrix");
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183 | 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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184 | }
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185 | if (!Parameters.ContainsKey("LowerBound")) {
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186 | Parameters.Add(new OptionalValueParameter<DoubleValue>("LowerBound", "The Gilmore-Lawler lower bound to the solution quality."));
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187 | LowerBound = new DoubleValue(GilmoreLawlerBoundCalculator.CalculateLowerBound(Weights, Distances));
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188 | }
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189 | if (!Parameters.ContainsKey("AverageQuality")) {
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190 | Parameters.Add(new OptionalValueParameter<DoubleValue>("AverageQuality", "The expected quality of a random solution."));
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191 | AverageQuality = new DoubleValue(ComputeAverageQuality());
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192 | }
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193 | #endregion
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194 | RegisterEventHandlers();
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195 | }
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196 |
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197 | #region Events
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198 | protected override void OnSolutionCreatorChanged() {
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199 | SolutionCreator.PermutationParameter.ActualNameChanged += new EventHandler(SolutionCreator_PermutationParameter_ActualNameChanged);
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200 | ParameterizeSolutionCreator();
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201 | ParameterizeEvaluator();
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202 | ParameterizeAnalyzers();
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203 | ParameterizeOperators();
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204 | base.OnSolutionCreatorChanged();
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205 | }
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206 | protected override void OnEvaluatorChanged() {
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207 | Evaluator.QualityParameter.ActualNameChanged += new EventHandler(Evaluator_QualityParameter_ActualNameChanged);
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208 | ParameterizeEvaluator();
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209 | ParameterizeAnalyzers();
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210 | ParameterizeOperators();
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211 | base.OnEvaluatorChanged();
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212 | }
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213 |
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214 | private void SolutionCreator_PermutationParameter_ActualNameChanged(object sender, EventArgs e) {
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215 | ParameterizeEvaluator();
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216 | ParameterizeAnalyzers();
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217 | ParameterizeOperators();
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218 | }
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219 | private void Evaluator_QualityParameter_ActualNameChanged(object sender, EventArgs e) {
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220 | ParameterizeAnalyzers();
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221 | ParameterizeOperators();
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222 | }
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223 | private void WeightsParameter_ValueChanged(object sender, EventArgs e) {
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224 | Weights.RowsChanged += new EventHandler(Weights_RowsChanged);
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225 | Weights.ColumnsChanged += new EventHandler(Weights_ColumnsChanged);
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226 | Weights.ToStringChanged += new EventHandler(Weights_ToStringChanged);
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227 | ParameterizeSolutionCreator();
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228 | ParameterizeEvaluator();
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229 | ParameterizeOperators();
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230 | AdjustDistanceMatrix();
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231 | }
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232 | private void Weights_RowsChanged(object sender, EventArgs e) {
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233 | if (Weights.Rows != Weights.Columns)
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234 | ((IStringConvertibleMatrix)Weights).Columns = Weights.Rows;
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235 | else {
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236 | ParameterizeSolutionCreator();
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237 | ParameterizeEvaluator();
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238 | ParameterizeOperators();
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239 | AdjustDistanceMatrix();
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240 | }
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241 | }
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242 | private void Weights_ColumnsChanged(object sender, EventArgs e) {
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243 | if (Weights.Rows != Weights.Columns)
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244 | ((IStringConvertibleMatrix)Weights).Rows = Weights.Columns;
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245 | else {
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246 | ParameterizeSolutionCreator();
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247 | ParameterizeEvaluator();
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248 | ParameterizeOperators();
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249 | AdjustDistanceMatrix();
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250 | }
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251 | }
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252 | private void Weights_ToStringChanged(object sender, EventArgs e) {
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253 | UpdateParameterValues();
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254 | }
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255 | private void DistancesParameter_ValueChanged(object sender, EventArgs e) {
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256 | Distances.RowsChanged += new EventHandler(Distances_RowsChanged);
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257 | Distances.ColumnsChanged += new EventHandler(Distances_ColumnsChanged);
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258 | Distances.ToStringChanged += new EventHandler(Distances_ToStringChanged);
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259 | ParameterizeSolutionCreator();
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260 | ParameterizeEvaluator();
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261 | ParameterizeOperators();
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262 | AdjustWeightsMatrix();
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263 | }
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264 | private void Distances_RowsChanged(object sender, EventArgs e) {
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265 | if (Distances.Rows != Distances.Columns)
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266 | ((IStringConvertibleMatrix)Distances).Columns = Distances.Rows;
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267 | else {
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268 | ParameterizeSolutionCreator();
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269 | ParameterizeEvaluator();
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270 | ParameterizeOperators();
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271 | AdjustWeightsMatrix();
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272 | }
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273 | }
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274 | private void Distances_ColumnsChanged(object sender, EventArgs e) {
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275 | if (Distances.Rows != Distances.Columns)
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276 | ((IStringConvertibleMatrix)Distances).Rows = Distances.Columns;
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277 | else {
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278 | ParameterizeSolutionCreator();
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279 | ParameterizeEvaluator();
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280 | ParameterizeOperators();
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281 | AdjustWeightsMatrix();
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282 | }
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283 | }
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284 | private void Distances_ToStringChanged(object sender, EventArgs e) {
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285 | UpdateParameterValues();
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286 | }
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287 | #endregion
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288 |
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289 | private void RegisterEventHandlers() {
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290 | SolutionCreator.PermutationParameter.ActualNameChanged += new EventHandler(SolutionCreator_PermutationParameter_ActualNameChanged);
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291 | Evaluator.QualityParameter.ActualNameChanged += new EventHandler(Evaluator_QualityParameter_ActualNameChanged);
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292 | WeightsParameter.ValueChanged += new EventHandler(WeightsParameter_ValueChanged);
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293 | Weights.RowsChanged += new EventHandler(Weights_RowsChanged);
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294 | Weights.ColumnsChanged += new EventHandler(Weights_ColumnsChanged);
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295 | Weights.ToStringChanged += new EventHandler(Weights_ToStringChanged);
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296 | DistancesParameter.ValueChanged += new EventHandler(DistancesParameter_ValueChanged);
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297 | Distances.RowsChanged += new EventHandler(Distances_RowsChanged);
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298 | Distances.ColumnsChanged += new EventHandler(Distances_ColumnsChanged);
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299 | Distances.ToStringChanged += new EventHandler(Distances_ToStringChanged);
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300 | }
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301 |
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302 | #region Helpers
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303 | private void InitializeOperators() {
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304 | var defaultOperators = new HashSet<IPermutationOperator>(new IPermutationOperator[] {
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305 | new PartiallyMatchedCrossover(),
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306 | new Swap2Manipulator(),
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307 | new ExhaustiveSwap2MoveGenerator()
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308 | });
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309 | Operators.AddRange(defaultOperators);
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310 | Operators.AddRange(ApplicationManager.Manager.GetInstances<IPermutationOperator>().Except(defaultOperators, new TypeEqualityComparer<IPermutationOperator>()));
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311 | Operators.RemoveAll(x => x is ISingleObjectiveMoveEvaluator);
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312 | Operators.AddRange(ApplicationManager.Manager.GetInstances<IQAPMoveEvaluator>());
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313 | Operators.Add(new BestQAPSolutionAnalyzer());
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314 | Operators.Add(new QAPAlleleFrequencyAnalyzer());
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315 | Operators.Add(new QAPPopulationDiversityAnalyzer());
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316 |
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317 | Operators.Add(new QAPExhaustiveInsertionLocalImprovement());
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318 | Operators.Add(new QAPExhaustiveInversionLocalImprovement());
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319 | Operators.Add(new QAPStochasticScrambleLocalImprovement());
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320 | Operators.Add(new QAPExhaustiveSwap2LocalImprovement());
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321 |
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322 | Operators.Add(new QAPSimilarityCalculator());
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323 | ParameterizeAnalyzers();
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324 | ParameterizeOperators();
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325 | }
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326 | private void ParameterizeSolutionCreator() {
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327 | if (SolutionCreator != null) {
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328 | SolutionCreator.PermutationTypeParameter.Value = new PermutationType(PermutationTypes.Absolute);
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329 | SolutionCreator.LengthParameter.Value = new IntValue(Weights.Rows);
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330 | }
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331 | }
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332 | private void ParameterizeEvaluator() {
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333 | if (Evaluator != null) {
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334 | Evaluator.PermutationParameter.ActualName = SolutionCreator.PermutationParameter.ActualName;
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335 | Evaluator.DistancesParameter.ActualName = DistancesParameter.Name;
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336 | Evaluator.WeightsParameter.ActualName = WeightsParameter.Name;
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337 | }
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338 | }
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339 | private void ParameterizeAnalyzers() {
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340 | if (BestQAPSolutionAnalyzer != null) {
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341 | BestQAPSolutionAnalyzer.QualityParameter.ActualName = Evaluator.QualityParameter.ActualName;
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342 | BestQAPSolutionAnalyzer.DistancesParameter.ActualName = DistancesParameter.Name;
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343 | BestQAPSolutionAnalyzer.WeightsParameter.ActualName = WeightsParameter.Name;
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344 | BestQAPSolutionAnalyzer.PermutationParameter.ActualName = SolutionCreator.PermutationParameter.ActualName;
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345 | BestQAPSolutionAnalyzer.ResultsParameter.ActualName = "Results";
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346 | BestQAPSolutionAnalyzer.BestKnownQualityParameter.ActualName = BestKnownQualityParameter.Name;
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347 | BestQAPSolutionAnalyzer.BestKnownSolutionsParameter.ActualName = BestKnownSolutionsParameter.Name;
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348 | BestQAPSolutionAnalyzer.MaximizationParameter.ActualName = MaximizationParameter.Name;
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349 | }
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350 | if (QAPAlleleFrequencyAnalyzer != null) {
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351 | QAPAlleleFrequencyAnalyzer.QualityParameter.ActualName = Evaluator.QualityParameter.ActualName;
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352 | QAPAlleleFrequencyAnalyzer.BestKnownSolutionParameter.ActualName = BestKnownSolutionParameter.Name;
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353 | QAPAlleleFrequencyAnalyzer.DistancesParameter.ActualName = DistancesParameter.Name;
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354 | QAPAlleleFrequencyAnalyzer.MaximizationParameter.ActualName = MaximizationParameter.Name;
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355 | QAPAlleleFrequencyAnalyzer.ResultsParameter.ActualName = "Results";
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356 | QAPAlleleFrequencyAnalyzer.SolutionParameter.ActualName = SolutionCreator.PermutationParameter.ActualName;
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357 | QAPAlleleFrequencyAnalyzer.WeightsParameter.ActualName = WeightsParameter.Name;
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358 | }
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359 | if (QAPPopulationDiversityAnalyzer != null) {
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360 | QAPPopulationDiversityAnalyzer.MaximizationParameter.ActualName = MaximizationParameter.Name;
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361 | QAPPopulationDiversityAnalyzer.QualityParameter.ActualName = Evaluator.QualityParameter.ActualName;
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362 | QAPPopulationDiversityAnalyzer.ResultsParameter.ActualName = "Results";
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363 | QAPPopulationDiversityAnalyzer.SolutionParameter.ActualName = SolutionCreator.PermutationParameter.ActualName;
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364 | }
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365 | }
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366 | private void ParameterizeOperators() {
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367 | foreach (IPermutationCrossover op in Operators.OfType<IPermutationCrossover>()) {
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368 | op.ParentsParameter.ActualName = SolutionCreator.PermutationParameter.ActualName;
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369 | op.ChildParameter.ActualName = SolutionCreator.PermutationParameter.ActualName;
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370 | }
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371 | foreach (IPermutationManipulator op in Operators.OfType<IPermutationManipulator>()) {
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372 | op.PermutationParameter.ActualName = SolutionCreator.PermutationParameter.ActualName;
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373 | }
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374 | foreach (IPermutationMoveOperator op in Operators.OfType<IPermutationMoveOperator>()) {
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375 | op.PermutationParameter.ActualName = SolutionCreator.PermutationParameter.ActualName;
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376 | }
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377 | if (Operators.OfType<IMoveGenerator>().Any()) {
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378 | if (Operators.OfType<IMoveGenerator>().OfType<IPermutationInversionMoveOperator>().Any()) {
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379 | string inversionMove = Operators.OfType<IMoveGenerator>().OfType<IPermutationInversionMoveOperator>().First().InversionMoveParameter.ActualName;
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380 | foreach (IPermutationInversionMoveOperator op in Operators.OfType<IPermutationInversionMoveOperator>())
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381 | op.InversionMoveParameter.ActualName = inversionMove;
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382 | }
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383 | if (Operators.OfType<IMoveGenerator>().OfType<IPermutationTranslocationMoveOperator>().Any()) {
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384 | string translocationMove = Operators.OfType<IMoveGenerator>().OfType<IPermutationTranslocationMoveOperator>().First().TranslocationMoveParameter.ActualName;
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385 | foreach (IPermutationTranslocationMoveOperator op in Operators.OfType<IPermutationTranslocationMoveOperator>())
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386 | op.TranslocationMoveParameter.ActualName = translocationMove;
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387 | }
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388 | if (Operators.OfType<IMoveGenerator>().OfType<IPermutationSwap2MoveOperator>().Any()) {
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389 | string swapMove = Operators.OfType<IMoveGenerator>().OfType<IPermutationSwap2MoveOperator>().First().Swap2MoveParameter.ActualName;
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390 | foreach (IPermutationSwap2MoveOperator op in Operators.OfType<IPermutationSwap2MoveOperator>()) {
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391 | op.Swap2MoveParameter.ActualName = swapMove;
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392 | }
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393 | }
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394 | }
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395 | foreach (var op in Operators.OfType<IPermutationMultiNeighborhoodShakingOperator>())
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396 | op.PermutationParameter.ActualName = SolutionCreator.PermutationParameter.ActualName;
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397 |
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398 | QAPExhaustiveSwap2LocalImprovement localOpt = Operators.OfType<QAPExhaustiveSwap2LocalImprovement>().SingleOrDefault();
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399 | if (localOpt != null) {
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400 | localOpt.AssignmentParameter.ActualName = SolutionCreator.PermutationParameter.ActualName;
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401 | localOpt.DistancesParameter.ActualName = DistancesParameter.Name;
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402 | localOpt.MaximizationParameter.ActualName = MaximizationParameter.Name;
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403 | localOpt.QualityParameter.ActualName = Evaluator.QualityParameter.ActualName;
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404 | localOpt.WeightsParameter.ActualName = WeightsParameter.Name;
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405 | }
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406 |
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407 | QAPSimilarityCalculator similarityCalculator = Operators.OfType<QAPSimilarityCalculator>().SingleOrDefault();
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408 | if (similarityCalculator != null) {
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409 | similarityCalculator.SolutionVariableName = SolutionCreator.PermutationParameter.ActualName;
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410 | similarityCalculator.QualityVariableName = Evaluator.QualityParameter.ActualName;
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411 | }
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412 | }
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413 |
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414 | private void AdjustDistanceMatrix() {
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415 | if (Distances.Rows != Weights.Rows || Distances.Columns != Weights.Columns) {
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416 | ((IStringConvertibleMatrix)Distances).Rows = Weights.Rows;
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417 | }
|
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418 | }
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419 |
|
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420 | private void AdjustWeightsMatrix() {
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421 | if (Weights.Rows != Distances.Rows || Weights.Columns != Distances.Columns) {
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422 | ((IStringConvertibleMatrix)Weights).Rows = Distances.Rows;
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423 | }
|
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424 | }
|
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425 |
|
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426 | private void UpdateParameterValues() {
|
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427 | Permutation lbSolution;
|
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428 | // calculate the optimum of a LAP relaxation and use it as lower bound of our QAP
|
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429 | LowerBound = new DoubleValue(GilmoreLawlerBoundCalculator.CalculateLowerBound(Weights, Distances, out lbSolution));
|
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430 | // evalute the LAP optimal solution as if it was a QAP solution
|
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431 | var lbSolutionQuality = QAPEvaluator.Apply(lbSolution, Weights, Distances);
|
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432 | // in case both qualities are the same it means that the LAP optimum is also a QAP optimum
|
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433 | if (LowerBound.Value.IsAlmost(lbSolutionQuality)) {
|
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434 | BestKnownSolution = lbSolution;
|
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435 | BestKnownQuality = new DoubleValue(LowerBound.Value);
|
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436 | }
|
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437 | AverageQuality = new DoubleValue(ComputeAverageQuality());
|
---|
438 | }
|
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439 |
|
---|
440 | private double ComputeAverageQuality() {
|
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441 | double rt = 0, rd = 0, wt = 0, wd = 0;
|
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442 | int n = Weights.Rows;
|
---|
443 | for (int i = 0; i < n; i++)
|
---|
444 | for (int j = 0; j < n; j++) {
|
---|
445 | if (i == j) {
|
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446 | rd += Distances[i, i];
|
---|
447 | wd += Weights[i, i];
|
---|
448 | } else {
|
---|
449 | rt += Distances[i, j];
|
---|
450 | wt += Weights[i, j];
|
---|
451 | }
|
---|
452 | }
|
---|
453 |
|
---|
454 | return rt * wt / (n * (n - 1)) + rd * wd / n;
|
---|
455 | }
|
---|
456 | #endregion
|
---|
457 |
|
---|
458 | public void Load(QAPData data) {
|
---|
459 | var weights = new DoubleMatrix(data.Weights);
|
---|
460 | var distances = new DoubleMatrix(data.Distances);
|
---|
461 | Name = data.Name;
|
---|
462 | Description = data.Description;
|
---|
463 | Load(weights, distances);
|
---|
464 | if (data.BestKnownQuality.HasValue) BestKnownQuality = new DoubleValue(data.BestKnownQuality.Value);
|
---|
465 | EvaluateAndLoadAssignment(data.BestKnownAssignment);
|
---|
466 | OnReset();
|
---|
467 | }
|
---|
468 |
|
---|
469 | public void Load(TSPData data) {
|
---|
470 | if (data.Dimension > 1000)
|
---|
471 | throw new System.IO.InvalidDataException("Instances with more than 1000 customers are not supported by the QAP.");
|
---|
472 | var weights = new DoubleMatrix(data.Dimension, data.Dimension);
|
---|
473 | for (int i = 0; i < data.Dimension; i++)
|
---|
474 | weights[i, (i + 1) % data.Dimension] = 1;
|
---|
475 | var distances = new DoubleMatrix(data.GetDistanceMatrix());
|
---|
476 | Name = data.Name;
|
---|
477 | Description = data.Description;
|
---|
478 | Load(weights, distances);
|
---|
479 | if (data.BestKnownQuality.HasValue) BestKnownQuality = new DoubleValue(data.BestKnownQuality.Value);
|
---|
480 | EvaluateAndLoadAssignment(data.BestKnownTour);
|
---|
481 | OnReset();
|
---|
482 | }
|
---|
483 |
|
---|
484 | public void Load(DoubleMatrix weights, DoubleMatrix distances) {
|
---|
485 | if (weights == null || weights.Rows == 0)
|
---|
486 | throw new System.IO.InvalidDataException("The given instance does not contain weights!");
|
---|
487 | if (weights.Rows != weights.Columns)
|
---|
488 | throw new System.IO.InvalidDataException("The weights matrix is not a square matrix!");
|
---|
489 | if (distances == null || distances.Rows == 0)
|
---|
490 | throw new System.IO.InvalidDataException("The given instance does not contain distances!");
|
---|
491 | if (distances.Rows != distances.Columns)
|
---|
492 | throw new System.IO.InvalidDataException("The distances matrix is not a square matrix!");
|
---|
493 | if (weights.Rows != distances.Columns)
|
---|
494 | throw new System.IO.InvalidDataException("The weights matrix and the distance matrix are not of equal size!");
|
---|
495 |
|
---|
496 | Weights = weights;
|
---|
497 | Distances = distances;
|
---|
498 |
|
---|
499 | BestKnownQuality = null;
|
---|
500 | BestKnownSolution = null;
|
---|
501 | BestKnownSolutions = null;
|
---|
502 | UpdateParameterValues();
|
---|
503 | }
|
---|
504 |
|
---|
505 | public void EvaluateAndLoadAssignment(int[] assignment) {
|
---|
506 | if (assignment == null || assignment.Length == 0) return;
|
---|
507 | var vector = new Permutation(PermutationTypes.Absolute, assignment);
|
---|
508 | var result = QAPEvaluator.Apply(vector, Weights, Distances);
|
---|
509 | BestKnownQuality = new DoubleValue(result);
|
---|
510 | BestKnownSolution = vector;
|
---|
511 | BestKnownSolutions = new ItemSet<Permutation>();
|
---|
512 | BestKnownSolutions.Add((Permutation)vector.Clone());
|
---|
513 | }
|
---|
514 | }
|
---|
515 | }
|
---|