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Coupled task scheduling with exact delays: Literature review and models

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  • Khatami, Mostafa
  • Salehipour, Amir
  • Cheng, T.C.E.

Abstract

The coupled task scheduling problem concerns scheduling a set of jobs, each with at least two tasks and there is an exact delay period between two consecutive tasks, on a set of machines to optimize a performance criterion. While research on the problem dates back to the 1980s, interests in the computational complexity of variants of the problem and solution methodologies have been evolving in the past few years. This motivates us to present an up-to-date and comprehensive literature review on the topic. Aiming to provide a complete road map for future research on the coupled task scheduling problem, we discuss all the relevant studies and potential research opportunities. In addition, we propose several sets of benchmark instances for the problem in various settings and provide a detailed evaluation of all the available mathematical models with a view to facilitating future research on the solution methods.

Suggested Citation

  • Khatami, Mostafa & Salehipour, Amir & Cheng, T.C.E., 2020. "Coupled task scheduling with exact delays: Literature review and models," European Journal of Operational Research, Elsevier, vol. 282(1), pages 19-39.
    • Handle: RePEc:eee:ejores:v:282:y:2020:i:1:p:19-39
    DOI: 10.1016/j.ejor.2019.08.045
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    Cited by:

    1. Békési, József & Dósa, György & Galambos, Gábor, 2022. "A first Fit type algorithm for the coupled task scheduling problem with unit execution time and two exact delays," European Journal of Operational Research, Elsevier, vol. 297(3), pages 844-852.
    2. David Fischer & Péter Györgyi, 2023. "Approximation algorithms for coupled task scheduling minimizing the sum of completion times," Annals of Operations Research, Springer, vol. 328(2), pages 1387-1408, September.
    3. Mostafa Khatami & Amir Salehipour, 2021. "Coupled task scheduling with time-dependent processing times," Journal of Scheduling, Springer, vol. 24(2), pages 223-236, April.
    4. Ahmadian, Mohammad Mahdi & Khatami, Mostafa & Salehipour, Amir & Cheng, T.C.E., 2021. "Four decades of research on the open-shop scheduling problem to minimize the makespan," European Journal of Operational Research, Elsevier, vol. 295(2), pages 399-426.
    5. Bo Chen & Xiandong Zhang, 2021. "Scheduling coupled tasks with exact delays for minimum total job completion time," Journal of Scheduling, Springer, vol. 24(2), pages 209-221, April.
    6. Mostafa Khatami & Amir Salehipour, 2021. "A binary search algorithm for the general coupled task scheduling problem," 4OR, Springer, vol. 19(4), pages 593-611, December.

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