IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v310y2023i1p71-83.html
   My bibliography  Save this article

Efficient approximation algorithms for scheduling moldable tasks

Author

Listed:
  • Wu, Xiaohu
  • Loiseau, Patrick

Abstract

Moldable tasks allow schedulers to determine the number of processors assigned to each task, thus enabling efficient use of large-scale parallel processing systems. We consider the problem of scheduling independent moldable tasks on processors and propose a new perspective of the existing speedup models: as the number p of processors assigned to a task increases, the speedup is linear if p is small and becomes sublinear after p exceeds a threshold. Based on this, we propose an efficient approximation algorithm to minimize the makespan. As a by-product, we also propose an approximation algorithm to maximize the sum of values of tasks completed by a deadline; this scheduling objective is considered for moldable tasks for the first time while similar works have been done for other types of parallel tasks.

Suggested Citation

  • Wu, Xiaohu & Loiseau, Patrick, 2023. "Efficient approximation algorithms for scheduling moldable tasks," European Journal of Operational Research, Elsevier, vol. 310(1), pages 71-83.
    • Handle: RePEc:eee:ejores:v:310:y:2023:i:1:p:71-83
    DOI: 10.1016/j.ejor.2023.02.044
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221723001923
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ejor.2023.02.044?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. Guo, Shouwei & Kang, Liying, 2010. "Online scheduling of malleable parallel jobs with setup times on two identical machines," European Journal of Operational Research, Elsevier, vol. 206(3), pages 555-561, November.
    2. Jacek Błażewicz & Maciej Machowiak & Jan Węglarz & Mikhail Kovalyov & Denis Trystram, 2004. "Scheduling Malleable Tasks on Parallel Processors to Minimize the Makespan," Annals of Operations Research, Springer, vol. 129(1), pages 65-80, July.
    3. Havill, Jessen T. & Mao, Weizhen, 2008. "Competitive online scheduling of perfectly malleable jobs with setup times," European Journal of Operational Research, Elsevier, vol. 187(3), pages 1126-1142, June.
    4. Wu, Fangfang & Zhang, Xiandong & Chen, Bo, 2023. "An improved approximation algorithm for scheduling monotonic moldable tasks," European Journal of Operational Research, Elsevier, vol. 306(2), pages 567-578.
    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. Xiaohu Wu & Patrick Loiseau, 2024. "Algorithms for Scheduling Deadline-Sensitive Malleable Tasks," SN Operations Research Forum, Springer, vol. 5(2), pages 1-38, June.

    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. Deshi Ye & Danny Z. Chen & Guochuan Zhang, 2018. "Online scheduling of moldable parallel tasks," Journal of Scheduling, Springer, vol. 21(6), pages 647-654, December.
    2. J Blazewicz & T C E Cheng & M Machowiak & C Oguz, 2011. "Berth and quay crane allocation: a moldable task scheduling model," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(7), pages 1189-1197, July.
    3. Emde, Simon & Gendreau, Michel, 2017. "Scheduling in-house transport vehicles to feed parts to automotive assembly lines," European Journal of Operational Research, Elsevier, vol. 260(1), pages 255-267.
    4. Gorczyca, Mateusz & Janiak, Adam, 2010. "Resource level minimization in the discrete-continuous scheduling," European Journal of Operational Research, Elsevier, vol. 203(1), pages 32-41, May.
    5. Roland Braune, 2022. "Packing-based branch-and-bound for discrete malleable task scheduling," Journal of Scheduling, Springer, vol. 25(6), pages 675-704, December.
    6. Artigues, Christian & Lopez, Pierre & Haït, Alain, 2013. "The energy scheduling problem: Industrial case-study and constraint propagation techniques," International Journal of Production Economics, Elsevier, vol. 143(1), pages 13-23.
    7. Guo, Shouwei & Kang, Liying, 2010. "Online scheduling of malleable parallel jobs with setup times on two identical machines," European Journal of Operational Research, Elsevier, vol. 206(3), pages 555-561, November.
    8. Simon Emde & Hamid Abedinnia & Anne Lange & Christoph H. Glock, 2020. "Scheduling personnel for the build-up of unit load devices at an air cargo terminal with limited space," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 42(2), pages 397-426, June.
    9. Dutta, Kaushik & VanderMeer, Debra, 2011. "Cost-based decision-making in middleware virtualization environments," European Journal of Operational Research, Elsevier, vol. 210(2), pages 344-357, April.
    10. Dolgui, Alexandre & Kovalev, Sergey & Kovalyov, Mikhail Y. & Malyutin, Sergey & Soukhal, Ameur, 2018. "Optimal workforce assignment to operations of a paced assembly line," European Journal of Operational Research, Elsevier, vol. 264(1), pages 200-211.
    11. Margaux Nattaf & Christian Artigues & Pierre Lopez & David Rivreau, 2016. "Energetic reasoning and mixed-integer linear programming for scheduling with a continuous resource and linear efficiency functions," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(2), pages 459-492, March.
    12. Ana Rita Antunes & Marina A. Matos & Ana Maria A. C. Rocha & Lino A. Costa & Leonilde R. Varela, 2022. "A Statistical Comparison of Metaheuristics for Unrelated Parallel Machine Scheduling Problems with Setup Times," Mathematics, MDPI, vol. 10(14), pages 1-19, 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:eee:ejores:v:310:y:2023:i:1:p:71-83. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    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.