A computational study of hybrid approaches of metaheuristic algorithms for the cell formation problem

A computational study of hybrid approaches of metaheuristic algorithms for the cell formation problem

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Article ID: iaor201530544
Volume: 67
Issue: 1
Start Page Number: 20
End Page Number: 36
Publication Date: Jan 2016
Journal: Journal of the Operational Research Society
Authors: , , , ,
Keywords: combinatorial optimization, heuristics
Abstract:

In this paper we solve the 0–1 cell formation problem where the number of cells is fixed a priori and where the objective is to maximize the overall efficiency of a production system by grouping together machines providing service to similar parts into a subsystem (denoted cell). Three different methods are introduced and compared numerically. The first local search method is an implementation of simulated annealing (SA) where the definition of the neighbourhood is specific to the application and requires using a diversification and intensification strategies. The second local search method is an adaptive simulated annealing method where the neighbourhood is selected randomly at each iteration. The procedure is adaptive in the sense that the probability of selecting a neighbourhood is updated during the process. The third method is a hybrid method (HM) of a population‐based method and a local search method. To improve the solution obtained with HM, we apply a SA method afterward. The best variants are very efficient to solve the 35 benchmark problems commonly used in the literature.

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