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Minimizing total completion time with machine-dependent priority lists

Author

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  • Ravindran Vijayalakshmi, Vipin
  • Schröder, Marc
  • Tamir, Tami

Abstract

We consider a natural, yet challenging variant of the parallel machine scheduling problem in which each machine imposes a preferential order over the jobs and schedules the jobs accordingly once assigned to it. We study the problem of minimizing the total completion time, distinguishing between identical and unrelated machines, machine-dependent and identical priority lists, or a constant number of different priority classes. Additionally, we consider the setting in which the priority list on a machine must satisfy longest processing time first. We resolve the computational complexity of the problem and provide a clear distinction between problems that are polynomial time solvable and APX-hard.

Suggested Citation

  • Ravindran Vijayalakshmi, Vipin & Schröder, Marc & Tamir, Tami, 2024. "Minimizing total completion time with machine-dependent priority lists," European Journal of Operational Research, Elsevier, vol. 315(3), pages 844-854.
    • Handle: RePEc:eee:ejores:v:315:y:2024:i:3:p:844-854
    DOI: 10.1016/j.ejor.2023.12.030
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