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Heuristics for a coupled-operation scheduling problem

Author

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  • C N Potts

    (University of Southampton)

  • J D Whitehead

    (University of Southampton)

Abstract

In this paper, we study a strongly NP-hard single machine scheduling problem in which each job consists of two operations that are separated by a time delay which lies within a specified range. The objective is to minimize the makespan. Determining the feasibility and, if applicable, makespan of any proposed permutation of the operations is non-trivial, requiring a longest path algorithm with O(n2) complexity for each permutation. Several heuristic algorithms are proposed: a deterministic and randomized construction algorithm, three descent algorithms and two reactive tabu search algorithms. The local search algorithms use a first improvement neighbourhood and mainly visit only feasible solutions within the search space. Results of extensive computational tests are reported, showing that the heavy computational burden of testing potential solutions renders the local search algorithms uncompetitive in comparison to the construction algorithms. The iterated descent algorithm performs least well.

Suggested Citation

  • C N Potts & J D Whitehead, 2007. "Heuristics for a coupled-operation scheduling problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(10), pages 1375-1388, October.
    • Handle: RePEc:pal:jorsoc:v:58:y:2007:i:10:d:10.1057_palgrave.jors.2602272
    DOI: 10.1057/palgrave.jors.2602272
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    References listed on IDEAS

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    Cited by:

    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. Guillaume Lamé & Oualid Jouini & Julie Stal-Le Cardinal, 2016. "Outpatient Chemotherapy Planning: a Literature Review with Insights from a Case Study," Post-Print hal-01324488, HAL.
    3. 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.

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