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Fuzzy Logic Controller Based Multiobjective Metaheuristics to Solve a Parallel Machines Scheduling Problem

Abstract : This paper considers a multiobjective optimization problem which focus on a parallel machines scheduling problem. It consists of scheduling n independent jobs on m identical parallel machines. Release dates, due dates and sequence dependent setup times are considered as constraints. The aim is to optimize two different objectives at the same time: the makespan and the total tardiness. First, the solutions encoding and a mathematical formulation for this problem are presented. Then, our main contribution is to propose two metaheuristics (FLC-NSGA-II and FLC-SPEA-II) since this problem is NP-hard. These two methods are based on the traditional NSGA-II and SPEA-II and use a fuzzy logic controller to improve the parameters settings such as the crossover probability and the mutation probability. Experimental results show the advantage of the proposed algorithm FLC-NSGA-II compared to NSGA-II and FLC-SPEA-II.
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https://hal-utt.archives-ouvertes.fr/hal-03100483
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Submitted on : Wednesday, January 6, 2021 - 4:25:35 PM
Last modification on : Friday, August 27, 2021 - 3:14:08 PM

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  • HAL Id : hal-03100483, version 1

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Xiaohui Li, Hicham Chehade, Farouk Yalaoui, Lionel Amodeo. Fuzzy Logic Controller Based Multiobjective Metaheuristics to Solve a Parallel Machines Scheduling Problem. Journal of Multiple-Valued Logic and Soft Computing, Old City Publishing, 2012, 18 (5-6), pp.617-636. ⟨hal-03100483⟩

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