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/* Copyright 2009-2016 David Hadka
 *
 * This file is part of the MOEA Framework.
 *
 * The MOEA Framework is free software: you can redistribute it and/or modify
 * it under the terms of the GNU Lesser General Public License as published by
 * the Free Software Foundation, either version 3 of the License, or (at your
 * option) any later version.
 *
 * The MOEA Framework is distributed in the hope that it will be useful, but
 * WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
 * or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General Public
 * License for more details.
 *
 * You should have received a copy of the GNU Lesser General Public License
 * along with the MOEA Framework.  If not, see .
 */
package org.moeaframework.problem.misc;

import org.moeaframework.core.Solution;
import org.moeaframework.core.variable.RealVariable;
import org.moeaframework.problem.AbstractProblem;

/**
 * The Tamaki problem.
 * 

* Properties: *

    *
  • Connected and curved Pareto set *
  • Curved Pareto front *
  • Constrained *
  • Maximization (objectives are negated) *
*

* References: *

    *
  1. Van Veldhuizen, D. A (1999). "Multiobjective Evolutionary Algorithms: * Classifications, Analyses, and New Innovations." Air Force Institute * of Technology, Ph.D. Thesis, Appendix B. *
*/ public class Tamaki extends AbstractProblem { /** * Constructs the Tamaki problem. */ public Tamaki() { super(3, 3, 1); } @Override public void evaluate(Solution solution) { double x = ((RealVariable)solution.getVariable(0)).getValue(); double y = ((RealVariable)solution.getVariable(1)).getValue(); double z = ((RealVariable)solution.getVariable(2)).getValue(); double c = Math.pow(x, 2.0) + Math.pow(y, 2.0) + Math.pow(z, 2.0) - 1.0; solution.setObjective(0, -x); solution.setObjective(1, -y); solution.setObjective(2, -z); solution.setConstraint(0, c <= 0.0 ? 0.0 : c); } @Override public Solution newSolution() { Solution solution = new Solution(3, 3, 1); solution.setVariable(0, new RealVariable(0.0, 1.0)); solution.setVariable(1, new RealVariable(0.0, 1.0)); solution.setVariable(2, new RealVariable(0.0, 1.0)); return solution; } }




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