/* Copyright 2009-2015 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 <http://www.gnu.org/licenses/>. */ package org.moeaframework.problem.misc; import org.moeaframework.core.PRNG; import org.moeaframework.core.Solution; import org.moeaframework.core.variable.EncodingUtils; import org.moeaframework.problem.AbstractProblem; import org.moeaframework.problem.AnalyticalProblem; /** * The Rendon (2) problem. The optimum is defined by {@code (x, -3)} where * {@code -3 <= x <= 0}. * <p> * Properties: * <ul> * <li>Connected Pareto set * <li>Convex Pareto front * </ul> * <p> * References: * <ol> * <li>Valenzuela-Rendon, M. and Uresti-Charre, E. (1997). "A * Non-Generational Genetic Algorithm for Multiobjective Optimization." * Proceedings of the Seventh International Conference on Genetic * Algorithms, pp. 658-665. * <li>Van Veldhuizen, D. A (1999). "Multiobjective Evolutionary Algorithms: * Classifications, Analyses, and New Innovations." Air Force Institute * of Technology, Ph.D. Thesis, Appendix B. * </ol> */ public class Rendon2 extends AbstractProblem implements AnalyticalProblem { /** * Constructs the Rendon (2) problem. */ public Rendon2() { super(2, 2); } @Override public void evaluate(Solution solution) { double x = EncodingUtils.getReal(solution.getVariable(0)); double y = EncodingUtils.getReal(solution.getVariable(1)); double f1 = x + y + 1.0; double f2 = Math.pow(x, 2.0) + 2.0*y - 1.0; solution.setObjective(0, f1); solution.setObjective(1, f2); } @Override public Solution newSolution() { Solution solution = new Solution(2, 2); solution.setVariable(0, EncodingUtils.newReal(-3.0, 3.0)); solution.setVariable(1, EncodingUtils.newReal(-3.0, 3.0)); return solution; } @Override public Solution generate() { Solution solution = newSolution(); EncodingUtils.setReal(solution.getVariable(0), PRNG.nextDouble(-3.0, 0.0)); EncodingUtils.setReal(solution.getVariable(1), -3.0); evaluate(solution); return solution; } }