Journal
SWARM AND EVOLUTIONARY COMPUTATION
Volume 26, Issue -, Pages 23-34Publisher
ELSEVIER
DOI: 10.1016/j.swevo.2015.07.003
Keywords
Multimodal optimization; Niching; Numerical optimization; Benchmark problems
Funding
- National Natural Science Foundation of China [61305080, 61473266, 61379113]
- Postdoctoral Science Foundation of China [2014M552013]
- Scientific and Technological Project of Henan Province [132102210521]
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Multi-modal optimization is concerned with locating multiple optima in one single run. Finding multiple solutions to a multi-modal optimization problem is especially useful in engineering, as the best solution may not always be the best realizable due to various practical constraints. To compare the performances of multi-modal optimization algorithms, multi-modal benchmark problems are always required. In this paper, 15 novel scalable multi-modal and real parameter benchmark problems are proposed. Among these 15 problems, 8 are extended simple functions while the rest are composition functions. These functions coordinate rotation and shift operations to create linkage among different dimensions and to place the optima at different locations, respectively. Four typical niching algorithms are used to solve the proposed problems. As shown by the experimental results, the proposed problems are challenging to these four recent algorithms. (C) 2015 Elsevier B.V. All rights reserved.
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