MEEF: A minimum-elimination-escape function method for multimodal optimization problems
type: Item
instance of: scholarly article
title: MEEF: A minimum-elimination-escape function method for multimodal optimization problems
zbMATH Open document ID: 1394.90468
DOI: 10.1155/2015/782536
author: Lei Fan
author: Yuping Wang
author: Xiyang Liu
author: Liping Jia
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: Auxiliary function methods provide us effective and practical ideas to solve multimodal optimization problems. However, improper parameter settings often cause troublesome effects which might lead to the failure of finding global optimal solutions. In this paper, a minimum-elimination-escape function method is proposed for multimodal optimization problems, aiming at avoiding the troublesome ``Mexican hat'' effect and reducing the influence of local optimal solutions. In the proposed method, the minimum-elimination function is constructed to decrease the number of local optimum first. Then, a minimum-escape function is proposed based on the minimum-elimination function, in which the current minimal solution will be converted to the unique global maximal solution of the minimum-escape function. The minimum-escape function is insensitive to its unique but easy to adopt parameter. At last, an minimum-elimination-escape function method is designed based on these two functions. Experiments on 19 widely used benchmarks are made, in which influences of the parameter and different initial points are analyzed. Comparisons with 11 existing methods indicate that the performance of the proposed algorithm is positive and effective.
Mathematics Subject Classification ID: 90C26
zbMATH DE Number: 6927200
Wikidata QID: Q59119857
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/782536
OpenAlex ID: W1970761085
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description: scientific article; zbMATH DE number 6927200