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

Xiaohui Li (1) , Hicham Chehade (1) , Farouk Yalaoui (1) , Lionel Amodeo (1)

1 LOSI - Laboratoire d'Optimisation des Systèmes Industriels

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.

Keywords: Scheduling problem; Parallel machine; Metaheuristic; Fuzzy logic; NSGA-II; SPEA-II

Domains: Computer Science [cs]; Operations Research [cs.RO]

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, 2012, 18 (5-6), pp.617-636. ⟨hal-03100483⟩