IDEAS home Printed from https://ideas.repec.org/a/pal/jorsoc/v67y2016i1p83-86.html
   My bibliography  Save this article

A note on scheduling jobs with equal processing times and inclusive processing set restrictions

Author

Listed:
  • Chung-Lun Li

    (The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong)

  • Kangbok Lee

    (York College, The City University of New York, Jamaica, NY, USA)

Abstract

We consider the problem of scheduling n jobs on m parallel machines with inclusive processing set restrictions. Each job has a given release date, and all jobs have equal processing times. The objective is to minimize the makespan of the schedule. Li and Li (2015) have developed an O(n2+mn log n) time algorithm for this problem. In this note, we present a modified algorithm with an improved time complexity of O(min{m, log n} ⋅ n log n).

Suggested Citation

  • Chung-Lun Li & Kangbok Lee, 2016. "A note on scheduling jobs with equal processing times and inclusive processing set restrictions," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 67(1), pages 83-86, January.
    • Handle: RePEc:pal:jorsoc:v:67:y:2016:i:1:p:83-86
    as

    Download full text from publisher

    File URL: http://www.palgrave-journals.com/jors/journal/v67/n1/pdf/jors201556a.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/v67/n1/full/jors201556a.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. 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.
    2. 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.

    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:67:y:2016:i:1:p:83-86. 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.