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Ideal schedules in parallel machine settings

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  • Jiang, Xiaojuan
  • Lee, Kangbok
  • Pinedo, Michael L.

Abstract

An ideal schedule is a schedule that simultaneously minimizes the two most popular scheduling objectives, namely the makespan and the total completion time. If a scheduling problem always has an ideal schedule, then the problem is called an ideal problem. We summarize ideal problem results of various scheduling problems in different machine environments and with job characteristics that include precedence constraints, release dates, processing times, eligibility constraints and preemptions. We present a comprehensive overview of ideal schedules including our new findings.

Suggested Citation

  • Jiang, Xiaojuan & Lee, Kangbok & Pinedo, Michael L., 2021. "Ideal schedules in parallel machine settings," European Journal of Operational Research, Elsevier, vol. 290(2), pages 422-434.
    • Handle: RePEc:eee:ejores:v:290:y:2021:i:2:p:422-434
    DOI: 10.1016/j.ejor.2020.08.010
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    References listed on IDEAS

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    Cited by:

    1. Chen, Jianfu & Chu, Chengbin & Sahli, Abderrahim & Li, Kai, 2024. "A branch-and-price algorithm for unrelated parallel machine scheduling with machine usage costs," European Journal of Operational Research, Elsevier, vol. 316(3), pages 856-872.
    2. Jiang, Xiaojuan & Lee, Kangbok & Pinedo, Michael L., 2023. "Approximation algorithms for bicriteria scheduling problems on identical parallel machines for makespan and total completion time," European Journal of Operational Research, Elsevier, vol. 305(2), pages 594-607.

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