基于遗传算法求解多目标优化问题Pareto前沿

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对于基于pareto的多么目标优化问题。引入了当前研究多目标优化的新方法—基于遗传算法求解问题的求解,讨论了该方法要解决的关键问题—多样性保持及解决策略,并给出了一个求解解集的新算法,算法简单、高效、鲁棒性强。
SMOGA 1+9 x;∈[01z=1 N=50M=5 MAXGEN=1 000 000 20036 G=0.02 n=10S=3 1.4 Pareto Pareto front [01] -0.51.5 -0.51 5口 0 0.4 0.8 0.6 0.2 1998 Zbigniew Michalewicz avid b Fogel. How to Solve It Modern heuri 0.0 0.0 0.2 6 tics(M. Springer-Verlag Berlin 2000 3. Kalyanmoy Deb. Multi-Objective Optimization using Evolutionary A gorithms M JOHn WileY sons ltd chichester 2001 4. Eckart Zitzler Kalyanmoy Deb Lothar Thiele. Comparison of Multi objective Evolutionary Algorithms Empirical Result(J Evolutionary Com Niche Niche putation200082173-195 5. Daid A Van Veldhuizen Gary B Lamont. Multi-objective Evolutionary Algorithms Analyzing the Statc- of thc-ArtJ. Evolutionary Computation Pareto Iche 200082125~147 6. Fonseca C M Fleming P J Multiobjective optimization and multiple constraint handling with evolutionary algorithms-Part Application ex ample[J.IEEE Transactions on Systems Man and Cybernetics Part A Pareto Systems and Humans 1998 38-47 Pa 7. Pa areto 1999455771~775 37 J 200215 4 2192~204 Snake 1999112115~119 Euler 3.M Kass A Witkin D Terzopoulos. Snake active contour models[J]. In Snake ternational Journal of Computer Vision 1988 1 4 321-331 BPV 4. Xu C Prince J LSnakes shapes and gradient veclor nlOwJIEEE Trans GVF on Imaging Processing 1998 73 359-369 5. Williams d J Shab M. a fast algorithm for active contours and cur- vature estimation(JI CVGIP Image Understanding 1992 55 1 14-26 6. Wen-Nung Lie Cheng-Hung Chuang. Fast and accurate snake model for object contour detection[J]. ElectronicsLetters 2001 37 10 624-626 MRI 7. Cohen L D On active contour models and balloons. CVGIP Image Un derstanding 1991 53 211-218 8.N E Davison H Eviatar R L Somorjai. Snakes simplied[J]. Pattern Re- cognition2000331651~1664 MRI 9 01994-202003hiaAcademicJournalElectronicPublishingHouse.Alightsreserved200340www.cnki.net 442003.23

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