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Tabu search for a parallel-machine scheduling problem with periodic maintenance, job rejection and weighted sum of completion times

Hanane Krim (), Nicolas Zufferey (), Jean-Yves Potvin (), Rachid Benmansour () and David Duvivier ()
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Hanane Krim: Polytechnic University of Hauts-de-France LAMIH
Nicolas Zufferey: University of Geneva
Jean-Yves Potvin: University of Montreal
Rachid Benmansour: Polytechnic University of Hauts-de-France LAMIH
David Duvivier: Polytechnic University of Hauts-de-France LAMIH

Journal of Scheduling, 2022, vol. 25, issue 1, No 5, 89-105

Abstract: Abstract We consider in this work a bicriteria scheduling problem on two different parallel machines with a periodic preventive maintenance policy. The two objectives considered involve minimization of job rejection costs and weighted sum of completion times. They are handled through a lexicographic approach, due to a natural hierarchy among the two objectives in the applications considered. The main contributions of this paper are first to present a new problem relevant to practice, second, to develop a mixed-integer-linear-program model for the problem, and third, to introduce two generalizable tabu-search metaheuristics relying on different neighborhood structures and solution spaces. Computational results for 120 instances (generated from a real case) are reported to empirically demonstrate the effectiveness of the proposed metaheuristics.

Keywords: Parallel machine scheduling; Job rejection; Periodic maintenance; Mixed-integer-linear-program; Metaheuristic; Tabu search; Lexicographic optimization (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10951-021-00711-9

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