IDEAS home Printed from https://ideas.repec.org/a/pal/jorsoc/v66y2015i3p516-523.html
   My bibliography  Save this article

Scheduling jobs with release dates, equal processing times, and inclusive processing set restrictions

Author

Listed:
  • Chung-Lun Li

    (The Hong Kong Polytechnic University, Hong Kong, China)

  • Qingying Li

    (The Hong Kong Polytechnic University, Hong Kong, China)

Abstract

We consider the problem of scheduling a given set of n jobs with equal processing times on m parallel machines so as to minimize the makespan. Each job has a given release date and is compatible to only a subset of the machines. The machines are ordered and indexed in such a way that a higher-indexed machine can process all the jobs that a lower-indexed machine can process. We present a solution procedure to solve this problem in O(n2+mnlogn) time. We also extend our results to the tree-hierarchical processing sets case and the uniform machine case.

Suggested Citation

  • Chung-Lun Li & Qingying Li, 2015. "Scheduling jobs with release dates, equal processing times, and inclusive processing set restrictions," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 66(3), pages 516-523, March.
    • Handle: RePEc:pal:jorsoc:v:66:y:2015:i:3:p:516-523
    as

    Download full text from publisher

    File URL: http://www.palgrave-journals.com/jors/journal/v66/n3/pdf/jors201422a.pdf
    File Function: Link to full text PDF
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: http://www.palgrave-journals.com/jors/journal/v66/n3/full/jors201422a.html
    File Function: Link to full text HTML
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

    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. Baoyu Liao & Qingru Song & Jun Pei & Shanlin Yang & Panos M. Pardalos, 2020. "Parallel-machine group scheduling with inclusive processing set restrictions, outsourcing option and serial-batching under the effect of step-deterioration," Journal of Global Optimization, Springer, vol. 78(4), pages 717-742, December.
    2. Leung, Joseph Y.-T. & Li, Chung-Lun, 2016. "Scheduling with processing set restrictions: A literature update," International Journal of Production Economics, Elsevier, vol. 175(C), pages 1-11.
    3. Leung, Joseph Y-T. & Ng, C.T., 2017. "Fast approximation algorithms for uniform machine scheduling with processing set restrictions," European Journal of Operational Research, Elsevier, vol. 260(2), pages 507-513.
    4. Jinwen Ou & Xueling Zhong & Xiangtong Qi, 2016. "Scheduling parallel machines with inclusive processing set restrictions and job rejection," Naval Research Logistics (NRL), John Wiley & Sons, vol. 63(8), pages 667-681, December.

    More about this item

    Statistics

    Access and download statistics

    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:pal:jorsoc:v:66:y:2015:i:3:p:516-523. 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.palgrave-journals.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.