A combinatorial Benders decomposition algorithm for parallel machine scheduling with working-time restrictions

Kan Fang, Shijin Wang, Michael L. Pinedo, Lin Chen and Feng Chu

European Journal of Operational Research, 2021, vol. 291, issue 1, 128-146

Abstract: This paper addresses a parallel machine scheduling problem with restrictions on employees’ working-times and break times. Tasks must be processed by employees nonpreemptively on unrelated parallel machines with different thresholds that specify for each employee the maximum total and consecutive working-time, and the minimum break time. The objective is to minimize the weighted sum of the makespan, the machine depreciation costs, and the labor costs. To solve this problem, a mixed integer linear programming model is formulated, and two different decomposition-based exact algorithms are implemented as well as a list scheduling (LS)-based heuristic method. Extensive computational experiments are performed on randomly generated instances, and the results demonstrate the efficiency of our proposed combinatorial Benders decomposition approach.

Keywords: Scheduling; Parallel machine; Maximum consecutive working-time; Minimum break time; Combinatorial Benders decomposition (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:291:y:2021:i:1:p:128-146

DOI: 10.1016/j.ejor.2020.09.037

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