Multiple Criteria Performance Analysis of Non-dominated Sets Obtained by Multi-objective Evolutionary Algorithms for Optimisation

作者: Gerrit K. Janssens , José Maria Pangilinan

DOI: 10.1007/978-3-642-16239-8_15

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摘要: The paper shows the importance of a multi-criteria performance analysis in evaluating quality non-dominated sets. sets are generated by use evolutionary algorithms, more specifically through SPEA2 or NSGA-II. Problem examples from different problem domains analyzed on four criteria quality. These namely cardinality set, spread solutions, hyper-volume, and set coverage do not favour any algorithm along examples. In Multiple Shortest Path (MSPP) examples, solutions is decisive factor for 2S|1M configuration, 3S configuration. differences values between NSGA-II MSPP small since both algorithms have almost identical solutions. Decision Tree factors hyper-volume. computations show that criterion vary all except criterion. This binary measure sets, as itself tests dominance. various confronted means decision tool.

参考文章(17)
Petros Koumoutsakosyz, Sibylle Mullery, Ivo F. Sbalzariniy, Multiobjective optimization using evolutionary algorithms ,(2000)
S. K. Murthy, S. Kasif, S. Salzberg, A system for induction of oblique decision trees Journal of Artificial Intelligence Research. ,vol. 2, pp. 1- 32 ,(1994) , 10.1613/JAIR.63
Jason R. Schott, Fault Tolerant Design Using Single and Multicriteria Genetic Algorithm Optimization. Massachusetts Institute of Technology. ,(1995)
Gary B. Lamont, David Allen Van Veldhuizen, Multiobjective evolutionary algorithms: classifications, analyses, and new innovations Air Force Institute of Technology. ,(1999)
J.P. Brans, Ph. Vincke, B. Mareschal, HOW TO SELECT AND HOW TO RANK PROJECTS: THE PROMETHEE METHOD European Journal of Operational Research. ,vol. 24, pp. 228- 238 ,(1986) , 10.1016/0377-2217(86)90044-5
Carlos A. Coello, An updated survey of GA-based multiobjective optimization techniques ACM Computing Surveys. ,vol. 32, pp. 109- 143 ,(2000) , 10.1145/358923.358929
Jean-Pierre Brans, Bertrand Mareschal, The PROMCALC & GAIA decision support system for multicriteria decision aid decision support systems. ,vol. 12, pp. 297- 310 ,(1994) , 10.1016/0167-9236(94)90048-5
Horst A Eiselt, Gilbert Laporte, Jacques-Francois Thisse, None, Competitive Location Models: A Framework and Bibliography Transportation Science. ,vol. 27, pp. 44- 54 ,(1993) , 10.1287/TRSC.27.1.44
Matthias Ehrgott, Xavier Gandibleux, A survey and annotated bibliography of multiobjective combinatorial optimization Or Spektrum. ,vol. 22, pp. 425- 460 ,(2000) , 10.1007/S002910000046