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A Benders decomposition approach to the weighted number of tardy jobs scheduling problem on unrelated parallel machines with production costs

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  • R. M’Hallah
  • T. Al-Khamis

Abstract

This paper addresses the problem of scheduling on-time jobs on unrelated parallel machines with machine production costs. The objective is to maximise the net profit which is the sum of the weights of on-time jobs and the cost of using the machines. This scheduling problem is very important and frequent in industrial settings. It is herein solved using an exact approach that applies Benders decomposition to obtain tight upper and lower bounds and uses the bounds within a branch and bound. The computational investigation shows the efficacy of the approach in solving large instances. Most importantly, the proposed approach provides a new venue for solving large-scale scheduling problems.

Suggested Citation

  • R. M’Hallah & T. Al-Khamis, 2015. "A Benders decomposition approach to the weighted number of tardy jobs scheduling problem on unrelated parallel machines with production costs," International Journal of Production Research, Taylor & Francis Journals, vol. 53(19), pages 5977-5987, October.
    • Handle: RePEc:taf:tprsxx:v:53:y:2015:i:19:p:5977-5987
    DOI: 10.1080/00207543.2015.1033501
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    Cited by:

    1. Ursavas, Evrim, 2017. "A benders decomposition approach for solving the offshore wind farm installation planning at the North Sea," European Journal of Operational Research, Elsevier, vol. 258(2), pages 703-714.

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