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A Penalty-Based Differential Evolution for Multimodal Optimization

Wei, Zhifang; Gao, Weifeng*; Li, Genghui; Zhang, Qingfu
Science Citation Index Expanded
西安电子科技大学

摘要

It is very difficult to locate multiple global optimal solutions (GOSs) of multimodal optimization problems (MMOPs). To deal with this issue, a penalty-based multimodal optimization differential evolution (DE), called PMODE, is developed in this article. In PMODE, a penalty strategy with a dynamic penalty radius is constructed to solve MMOPs. An elite selection mechanism is designed to identify and select elite solutions. The neighboring areas of these elite solutions are penalized. PMODE uses a popular DE variant--JADE as its search engine. The proposed PMODE is compared with several other state-of-the-art multimodal optimization algorithms on 20 MMOPs used in the IEEE CEC2013 special session. The experimental results show that PMODE performs better than other state-of-the-art methods.

关键词

Optimization Statistics Sociology Heuristic algorithms Linear programming Clustering algorithms Urban areas Differential evolution (DE) multimodal optimization problems (MMOPs) penalty strategy