IDEAS home Printed from https://ideas.repec.org/a/spr/mathme/v80y2014i1p47-81.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00186-014-0469-6
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s00186-014-0469-6?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    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. 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.
    3. 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.
    4. Mostafa Khatami & Amir Salehipour, 2021. "Coupled task scheduling with time-dependent processing times," Journal of Scheduling, Springer, vol. 24(2), pages 223-236, April.
    5. Josef Zuk & David Kirszenblat, 2024. "Explicit results for the distributions of queue lengths for a non-preemptive two-level priority queue," Annals of Operations Research, Springer, vol. 341(2), pages 1223-1246, October.
    6. Karim Amrouche & Mourad Boudhar & Mohamed Bendraouche & Farouk Yalaoui, 2017. "Chain-reentrant shop with an exact time lag: new results," International Journal of Production Research, Taylor & Francis Journals, vol. 55(1), pages 285-295, January.
    7. Nadjat Meziani & Ammar Oulamara & Mourad Boudhar, 2019. "Two-machine flowshop scheduling problem with coupled-operations," Annals of Operations Research, Springer, vol. 275(2), pages 511-530, April.
    8. Zhang, Haowei & Xie, Junwei & Ge, Jiaang & Zhang, Zhaojian & Zong, Binfeng, 2019. "A hybrid adaptively genetic algorithm for task scheduling problem in the phased array radar," European Journal of Operational Research, Elsevier, vol. 272(3), pages 868-878.
    9. Haowei Zhang & Junwei Xie & Qiyong Hu & Zhaojian Zhang & Binfeng Zong, 2019. "Online pulse interleaving task scheduling for multifunction radar," Journal of Scheduling, Springer, vol. 22(2), pages 183-192, April.
    10. 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.
    11. Nazim Sami & Karim Amrouche & Mourad Boudhar, 2024. "New efficient algorithms for the two-machine no-wait chain-reentrant shop problem," Journal of Combinatorial Optimization, Springer, vol. 47(5), pages 1-29, July.
    12. 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.
    13. Duron, Cyril & Proth, Jean-Marie & Wardi, Yorai, 2005. "Insertion of a random task in a schedule: a real-time approach," European Journal of Operational Research, Elsevier, vol. 164(1), pages 52-63, July.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:mathme:v:80:y:2014:i:1:p:47-81. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.