Enhanced Differential Evolution Based on Adaptive Mutation and Wrapper Local Search Strategies for Global Optimization Problems

 

Chun-Liang Lu*¹, Shih-Yuan Chiu², Chih-Hsu Hsu³ and Shi-Jim Yen⁴

 

^1.3 Department of Applied Information and Multimedia, Ching Kuo Institute of Management and Health, Keelung County, Taiwan, R.O.C. *leucl@ems.cku.edu.tw

^2.4 Department of Computer Science and Information Engineering, National Dong Hwa University, Hualien County Taiwan, R.O.C.

 

Abstract

Differential evolution (DE) is a simple, powerful optimization algorithm, which has been widely used in many areas. However, the choices of the best mutation and search strategies are difficult for the specific issues. To alleviate these drawbacks and enhance the performance of DE, in this paper, the hybrid framework based on the adaptive mutation and Wrapper Local Search (WLS) schemes, is proposed to improve searching ability to efficiently guide the evolution of the population toward the global optimum. Furthermore, the effective particle encoding representation named Particle Segment Operation-Machine Assignment (PSOMA) that we previously published is applied to always produce feasible candidate solutions for solving the Flexible Job-shop Scheduling Problem (FJSP). Experiments were conducted on comprehensive set of complex benchmarks including the unimodal, multimodal and hybrid composition function, to validate performance of the proposed method and to compare with other state-of-the art DE variants such as JDE, JADE, MDE_PBX etc. Meanwhile, the hybrid DE model incorporating PSOMA is used to solve different representative instances based on practical data for multi-objective FJSP verifications. Simulation results indicate that the proposed method performs better for the majority of the single-objective scalable benchmark functions in terms of the solution accuracy and convergence rate. In addition, the wide range of Pareto-optimal solutions and more Gantt chart decision-makings can be provided for the multi-objective FJSP combinatorial optimizations.

Keywords: Differential Evolution, Wrapper Local Search, Particle Segment Operation-Machine Assignment, Flexible Job-shop Scheduling Problem.

 

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Acknowledgments

This work was partially supported by the National Science Council, Taiwan, under Grant NSC 101-2218-E-254-001.

 

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