ε Constrained differential evolution using halfspace partition for optimization problems

Wenchao Yi, Liang Gao (), Zhi Pei, Jiansha Lu and Yong Chen
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Wenchao Yi: Zhejiang University of Technology
Liang Gao: Huazhong University of Science and Technology
Zhi Pei: Zhejiang University of Technology
Jiansha Lu: Zhejiang University of Technology
Yong Chen: Zhejiang University of Technology

Journal of Intelligent Manufacturing, 2021, vol. 32, issue 1, No 11, 157-178

Abstract: Abstract There are many efficient and effective constraint-handling mechanisms for constrained optimization problems. However, most of them evaluate all the individuals, including the worse individuals, which waste a lot of fitness evaluations. In this paper, halfspace partition mechanism based on constraint violation values is proposed. Since constraint violation information of individuals in current generation are already known, the positive side of tangent line of one point as positive halfspace is defined. A point is treated as potential point if it locates in the intersect region of two positive halfspaces. Hence, the region includes all these points has greater possibility to obtain smaller constraint violation. Only when the offspring locates in this area, the actual objective function value and constraint violation will be calculated. The estimated worse individuals will be omitted without calculating actual constraint violation and fitness function value. Four engineering optimization and a case study with the grinding optimization process are studied. The experimental results verify the effectiveness of the proposed mechanism.

Keywords: Constrained optimization problem; ε Constrained method; Differential evolution; Halfspace partition (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10845-020-01565-2

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