A discrete electromagnetism-like mechanism for parallel machine scheduling under a grade of service provision

Chao-Tang Tseng, Cheng-Hsiung Lee, Yuan-Shyi Peter Chiu and Wei-Te Lu

International Journal of Production Research, 2017, vol. 55, issue 11, 3149-3163

Abstract: We consider the problem of minimising total weighted tardiness on identical parallel machines with grade of service eligibility. Due to the essential complexity of the problem, we apply an electromagnetism-like mechanism (EM), which is a novel metaheuristic, to solve the problem. In the proposed EM, the particle is redesigned to represent a valid assignment of jobs to machines. A distance measure between particles, called ‘1A2B’ distance, is proposed by the concept of a number guessing game. Then, the new attraction and repulsion operators are developed to move a particle to the new particle. To verify the proposed EM, computational experiments are conducted to make a comparison with a recent genetic algorithm (GA). The results show that the proposed EM has a good performance and outperforms the GA for the considered problem.

Date: 2017
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DOI: 10.1080/00207543.2016.1265683

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