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A novel two-stage constraints handling framework for real-world multi-constrained multi-objective optimization problem based on evolutionary algorithm

delete2021-03-28
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李鑫 cover
李鑫 (Xin Li)
Q
Qing An
张军 (Jun Zhang) *
F
Fan Xu
唐若笠 (Ruoli Tang)
董政呈 cover
董政呈 (Zhengcheng Dong)
张晓迪 cover
张晓迪 (Xiaodi Zhang)
J
Jingang Lai
毛小兵 cover
毛小兵 (Xiaobing Mao) *
DOI:10.1007/s10489-020-02174-5delete
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Abstract

Abstract

En 中文
Multi-constrained multi-objective optimization is a challenging topic, which is very common in dealing with real-world problems. This paper proposes a novel two-stage rho(g /) mu(g) framework based on multi-objective evolutionary algorithm (MOEA) to solve the multi-constrained multi-objective optimization problems (MCMOPs), which dynamically balances the diversity and convergence of solutions. During the multi-constraints handling process, rho(g /) mu(g) -MOEA makes the reduction of violated constraints as its primary goal, and converges to feasible regions by a proposed rho(g) -criterion based constraints relaxation method. Moreover, in the late stage of evolution, by introducing the improved dynamic stochastic ranking (DSR) strategy, the potential infeasible individuals are utilized to find more feasible regions, which would guarantee a good distribution of the obtained Pareto frontiers. Thereafter, the proposed framework combined with non-dominated sorting genetic algorithm II (NSGAII) is applied to ten benchmark functions and a series of real-world MCMOPs, and the performances are compared with those obtained by some state-of-the-art constraints handling methods. Experimental results indicate that the proposed rho(g /) mu(g) framework outperforms the current efficient methods in dealing with test CMOPs, and can achieve satisfactory results when solving real-world MCMOPs.
Keywords:
Multi-constrained multi-objective optimization
Two-stage constraints handling
Constraint relaxation
Dynamic stochastic ranking
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Applied Intelligence cover
Applied Intelligence
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