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

Author

Listed:
  • Fang, Kan
  • Wang, Shijin
  • Pinedo, Michael L.
  • Chen, Lin
  • Chu, Feng

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.

Suggested Citation

  • Fang, Kan & Wang, Shijin & Pinedo, Michael L. & Chen, Lin & Chu, Feng, 2021. "A combinatorial Benders decomposition algorithm for parallel machine scheduling with working-time restrictions," European Journal of Operational Research, Elsevier, vol. 291(1), pages 128-146.
    • Handle: RePEc:eee:ejores:v:291:y:2021:i:1:p:128-146
    DOI: 10.1016/j.ejor.2020.09.037
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