IDEAS home Printed from https://ideas.repec.org/a/spr/mathme/v52y2000i3p369-387.html
   My bibliography  Save this article

Scheduling UET task systems with concurrency on two parallel identical processors

Author

Listed:
  • Peter Brucker
  • Sigrid Knust
  • Duncan Roper
  • Yakov Zinder

Abstract

Problems with unit execution time tasks and two identical parallel processors have received a great deal of attention in scheduling theory. In contrast to the conventional models, where each task requires only one processor, we consider a situation when a task may require both processors simultaneously. For problems without precedence constraints we present several polynomial time algorithms which complement recent results of Lee and Cai. We also show that the introduction of precedence constraints leads to NP-hardness results for maximum lateness and mean flow time objective functions. For the maximum lateness problem, a family of algorithms, based upon the idea of modified due dates, is considered. The worst case behaviour of these algorithms is analysed, and it is shown that the same upper bound is tight for each algorithm of this family. Copyright Springer-Verlag Berlin Heidelberg 2000

Suggested Citation

  • Peter Brucker & Sigrid Knust & Duncan Roper & Yakov Zinder, 2000. "Scheduling UET task systems with concurrency on two parallel identical processors," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 52(3), pages 369-387, December.
    • Handle: RePEc:spr:mathme:v:52:y:2000:i:3:p:369-387
    DOI: 10.1007/s001860000089
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s001860000089
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s001860000089?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.

    Citations

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


    Cited by:

    1. Alexander Kononov & Yulia Zakharova, 2022. "Speed scaling scheduling of multiprocessor jobs with energy constraint and makespan criterion," Journal of Global Optimization, Springer, vol. 83(3), pages 539-564, July.
    2. Blazewicz, Jacek & Dell'Olmo, Paolo & Drozdowski, Maciej & Maczka, Przemyslaw, 2003. "Scheduling multiprocessor tasks on parallel processors with limited availability," European Journal of Operational Research, Elsevier, vol. 149(2), pages 377-389, September.
    3. Philippe Lacomme & Aziz Moukrim & Alain Quilliot & Marina Vinot, 2019. "Integration of routing into a resource-constrained project scheduling problem," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 7(4), pages 421-464, December.
    4. Oguz, Ceyda & Zinder, Yakov & Ha Do, Van & Janiak, Adam & Lichtenstein, Maciej, 2004. "Hybrid flow-shop scheduling problems with multiprocessor task systems," European Journal of Operational Research, Elsevier, vol. 152(1), pages 115-131, January.

    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:52:y:2000:i:3:p:369-387. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.