Exploiting symmetry for the job sequencing and tool switching problem

Najmaddin Akhundov and James Ostrowski

European Journal of Operational Research, 2024, vol. 316, issue 3, 976-987

Abstract: The Job Sequencing and Tool Switching Problem (SSP), a well-known combinatorial optimization problem in the domain of Flexible Manufacturing Systems (FMS), is studied in this article. The aim of this research is to improve the currently known exact solution methodology for this NP-hard problem. We propose a new integer linear programming approach with symmetry-breaking and tightening cuts that provably outperformed the existing methodology described in the literature. The computational study conducted on a data set with 1,050 instances showed that the developed method can solve hard instances that were not solvable with the state-of-the-art methods presented in the literature.

Keywords: Integer programming; Tool switching; Sequencing; Symmetry-breaking; Combinatorial optimization (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:316:y:2024:i:3:p:976-987

DOI: 10.1016/j.ejor.2024.02.030

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