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Inverse interval scheduling via reduction on a single machine

Author

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  • Yim, Seho
  • Hong, Sung-Pil
  • Park, Myoung-Ju
  • Chung, Yerim

Abstract

We consider an inverse counterpart of the interval scheduling problem. In the problem, we are given a set of machines and the objective is to reduce the non-preemptive job intervals with a least cost so that all jobs with positive processing times may be scheduled on the machines. The paper focuses on the single machine case. We establish the strong NP-hardness of the problem and show however it admits a polynomial time approximation scheme.

Suggested Citation

  • Yim, Seho & Hong, Sung-Pil & Park, Myoung-Ju & Chung, Yerim, 2022. "Inverse interval scheduling via reduction on a single machine," European Journal of Operational Research, Elsevier, vol. 303(2), pages 541-549.
    • Handle: RePEc:eee:ejores:v:303:y:2022:i:2:p:541-549
    DOI: 10.1016/j.ejor.2022.02.046
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    References listed on IDEAS

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