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A binary search algorithm for the general coupled task scheduling problem

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Listed:
  • Mostafa Khatami

    (University of Technology Sydney)

  • Amir Salehipour

    (University of Technology Sydney)

Abstract

The coupled task scheduling problem aims to schedule 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. We study the problem of scheduling a set of coupled jobs to be processed on a single machine with the objective of minimizing the makespan, which is known to be strongly NP-hard. We obtain competitive lower bounds for the problem through different procedures, including solving 0-1 knapsack problems. We obtain an upper bound by applying a heuristic algorithm. We then propose a binary search heuristic algorithm for the coupled task scheduling problem. We perform extensive computational experiments and show that the proposed method is able to obtain quality solutions. The results also indicate that the proposed solution method outperforms the standard exact solver Gurobi.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:aqjoor:v:19:y:2021:i:4:d:10.1007_s10288-020-00463-w
    DOI: 10.1007/s10288-020-00463-w
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    References listed on IDEAS

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    1. József Békési & Gábor Galambos & Michael Jung & Marcus Oswald & Gerhard Reinelt, 2014. "A branch-and-bound algorithm for the coupled task problem," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 80(1), pages 47-81, August.
    2. 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.
    3. Carlier, J. & Neron, E., 2003. "On linear lower bounds for the resource constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 149(2), pages 314-324, September.
    4. Roy D. Shapiro, 1980. "Scheduling coupled tasks," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 27(3), pages 489-498, September.
    5. Eduardo Pérez & Lewis Ntaimo & César Malavé & Carla Bailey & Peter McCormack, 2013. "Stochastic online appointment scheduling of multi-step sequential procedures in nuclear medicine," Health Care Management Science, Springer, vol. 16(4), pages 281-299, December.
    6. Paulo M. França & Michel Gendreau & Gilbert Laporte & Felipe M. Müller, 1995. "The m -Traveling Salesman Problem with Minmax Objective," Transportation Science, INFORMS, vol. 29(3), pages 267-275, August.
    7. Diarmuid Grimes & Emmanuel Hebrard, 2015. "Solving Variants of the Job Shop Scheduling Problem Through Conflict-Directed Search," INFORMS Journal on Computing, INFORMS, vol. 27(2), pages 268-284, May.
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    Cited by:

    1. 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.

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