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Tailoring ε-MOEA to Concept-Based Problems

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Parallel Problem Solving from Nature - PPSN XII (PPSN 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7492))

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Abstract

Concept-based MOEAs are tailored MOEAs that aim at solving problems with a-priori defined subsets of solutions that represent conceptual solutions. In general, the concepts’ subsets may be associated with different search spaces and the related mapping into a mutual objective space could have different characteristics from one concept to the other. Of a particular interest are characteristics that may cause premature convergence due to local Pareto-optimal sets within at least one of the concept subsets. First, the known ε-MOEA is tailored to cope with the aforementioned problem. Next, the performance of the new algorithm is compared with C1-NSGA-II. Concept-based test cases are devised and studied. In addition to demonstrating the significance of premature convergence in concept-based problems, the presented comparison suggests that the proposed tailored MOEA should be preferred over C1-NSGA-II. Suggestions for future work are also included.

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References

  1. Moshaiov, A., Avigad, G.: Concept-based Multi-objective Problems and Their Solution by EC. In: Proc. of the GECCO 2007 Workshop on User Centric Evolutionary Computation, GECCO, London (2007)

    Google Scholar 

  2. Avigad, G., Moshaiov, A.: Set-based Concept Selection in Multi-objective Problems: Optimality versus Variability Approach. J. of Eng. Design 20(3), 217–242 (2009)

    Article  Google Scholar 

  3. Denenberg, E., Moshaiov, A.: Evolutionary Search of Optimal Concepts using a Relaxed-Pareto-optimality Approach. In: Proc. of the IEEE Congress on Evolutionary Computations, CEC 2009, Trondheim, Norway, pp. 1093–1100 (2009)

    Google Scholar 

  4. Mattson, C.A., Messac, A.: Pareto Frontier based Concept Selection under Uncertainty with Visualization. Optimization and Engineering 6, 85–115 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  5. Mattson, C.A., Mullur, A.A., Messac, A.: Case Studies in Concept Exploration and Selection with s-Pareto Frontiers. Int. J. of Product Development, Special Issue on Space Exploration and Design Optimization 9(1/2/3), 32–59 (2009)

    Google Scholar 

  6. Avigad, G., Moshaiov, A.: Simultaneous Concept based Evolutionary Multiobjective Optimization. Applied Soft Computing 11(1), 193–207 (2011)

    Article  Google Scholar 

  7. Deb, K., Mohan, M., Mishra, S.: Evaluating the ε-domination based Multi-objective Evolutionary Algorithm for a Quick Computation of Pareto-optimal Solutions. Evolutionary Computation 16(3), 355–384 (2005)

    Google Scholar 

  8. Deb, K., Pratap, A., Agarwal, S., Meyarivan, T.: A Fast and Elitist Multiobjective Genetic Algorithm: NSGA-II. IEEE Tran. on Evolutionary Computation 6, 182–197 (2002)

    Article  Google Scholar 

  9. Deb, K., Tiwari, S.: Omni-optimizer: A Generic Evolutionary Algorithm for Single and Multi-objective Optimization. European J. of Operational Research 185(3), 1062–1087 (2008)

    Article  MathSciNet  MATH  Google Scholar 

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© 2012 Springer-Verlag Berlin Heidelberg

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Moshaiov, A., Snir, Y. (2012). Tailoring ε-MOEA to Concept-Based Problems. In: Coello, C.A.C., Cutello, V., Deb, K., Forrest, S., Nicosia, G., Pavone, M. (eds) Parallel Problem Solving from Nature - PPSN XII. PPSN 2012. Lecture Notes in Computer Science, vol 7492. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32964-7_13

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  • DOI: https://doi.org/10.1007/978-3-642-32964-7_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-32963-0

  • Online ISBN: 978-3-642-32964-7

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