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A branch-and-bound algorithm for the coupled task problem

Author

Listed:
  • József Békési
  • Gábor Galambos
  • Michael Jung
  • Marcus Oswald
  • Gerhard Reinelt

Abstract

The coupled task problem is to schedule jobs on a single machine where each job consists of two subtasks and where the second subtask has to be started after a given time interval with respect to the first one. The problem has several applications and is NP-hard. In this paper we present a branch-and-bound algorithm for this problem and compare its performance with four integer programming models. Copyright Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • 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.
    • Handle: RePEc:spr:mathme:v:80:y:2014:i:1:p:47-81
    DOI: 10.1007/s00186-014-0469-6
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    References listed on IDEAS

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    1. 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.
    2. Dino Ahr & József Békési & Gábor Galambos & Marcus Oswald & Gerhard Reinelt, 2004. "An exact algorithm for scheduling identical coupled tasks," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 59(2), pages 193-203, June.
    3. Orman, A. J. & Potts, C. N. & Shahani, A. K. & Moore, A. R., 1996. "Scheduling for a multifunction phased array radar system," European Journal of Operational Research, Elsevier, vol. 90(1), pages 13-25, April.
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    Cited by:

    1. 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.
    2. Mostafa Khatami & Amir Salehipour, 2021. "Coupled task scheduling with time-dependent processing times," Journal of Scheduling, Springer, vol. 24(2), pages 223-236, April.
    3. 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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