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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Ishibuchi, H. Sakane, Y. Tsukamoto, N. Nojima, Y. |
| Copyright Year | 2009 |
| Description | Author affiliation: Department of Computer Science and Intelligent Systems, Osaka Prefecture University, Gakuen-cho, Naka-ku, 1-1, Sakai, Osaka, 599-8534 Japan (Ishibuchi, H.; Sakane, Y.; Tsukamoto, N.; Nojima, Y.) |
| Abstract | Evolutionary multiobjective optimization (EMO) is an active research area in the field of evolutionary computation. EMO algorithms are designed to find a non-dominated solution set that approximates the entire Pareto front of a multiobjective optimization problem. Whereas EMO algorithms usually work well on two-objective and three-objective problems, their search ability is degraded by the increase in the number of objectives. One difficulty in the handling of many-objective problems is the exponential increase in the number of non-dominated solutions necessary for approximating the entire Pareto front. A simple countermeasure to this difficulty is to use large populations in EMO algorithms. In this paper, we examine the behavior of EMO algorithms with large populations (e.g., with 10,000 individuals) through computational experiments on multiobjective and many-objective knapsack problems with two, four, six, eight and ten objectives. We examine two totally different algorithms: NSGA-II and MOEA/D. NSGA-II is a Pareto dominance-based algorithm while MOEA/D uses scalarizing functions. Their search ability is examined for various specifications of the population size under the fixed computation load. That is, we use the total number of examined solutions as the stopping condition of each algorithm. Thus the use of a very large population leads to the termination at an early generation (e.g., 20th generation). It is demonstrated through computational experiments that the use of too large populations makes NSGA-II very slow and inefficient. On the other hand, MOEA/D works well even when it is executed with a very large population. We also discuss why MOEA/D works well even when the population size is unusually large. |
| Starting Page | 1758 |
| Ending Page | 1763 |
| File Size | 314847 |
| Page Count | 6 |
| File Format | |
| ISBN | 9781424427932 |
| ISSN | 1062922X |
| DOI | 10.1109/ICSMC.2009.5346628 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2009-10-11 |
| Publisher Place | USA |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Degradation Algorithm design and analysis Design optimization Pareto optimization Cybernetics USA Councils Computer science Intelligent systems Evolutionary computation Genetic algorithms cellular genetic algorithms Evolutionary multiobjective optimization (EMO) evolutionary many-objective optimization NSGA-II MOEA/D |
| Content Type | Text |
| Resource Type | Article |
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