IDEAS home Printed from https://ideas.repec.org/a/spr/operea/v25y2025i2d10.1007_s12351-025-00924-2.html
   My bibliography  Save this article

A comparative analysis of MIP formulations for the multi-mode resource-constrained independent task scheduling problem

Author

Listed:
  • Maryam Al-Khatib

    (Qatar University)

  • Mohamed Haouari

    (Qatar University)

  • Mohamed Kharbeche

    (Qatar University)

Abstract

We consider the problem of scheduling independent multi-mode tasks with multiple renewable resource constraints, aiming to minimize the weighted sum of tardinesses. This problem commonly arises in the context of multiproject scheduling. We propose three pseudo-polynomial mixed-integer programming formulations and conduct a theoretical comparative analysis of their respective linear programming relaxations. We present the results of extensive computational experiments that provide evidence that a formulation based on Dantzig–Wolfe reformulation exhibits very good empirical performance consistently solving all instances with fewer than 30 tasks. In addition, it achieved an average success rate of 94.28% for instances with tasks ranging from 40 to 100, compared to other formulations that on average achieved success rates of 64.28% and 58.57%.

Suggested Citation

  • Maryam Al-Khatib & Mohamed Haouari & Mohamed Kharbeche, 2025. "A comparative analysis of MIP formulations for the multi-mode resource-constrained independent task scheduling problem," Operational Research, Springer, vol. 25(2), pages 1-21, June.
    • Handle: RePEc:spr:operea:v:25:y:2025:i:2:d:10.1007_s12351-025-00924-2
    DOI: 10.1007/s12351-025-00924-2
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s12351-025-00924-2
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s12351-025-00924-2?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.

    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:operea:v:25:y:2025:i:2:d:10.1007_s12351-025-00924-2. 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.