IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v72y2024i1p317-335.html
   My bibliography  Save this article

Dynamic Interday and Intraday Scheduling

Author

Listed:
  • Christos Zacharias

    (Miami Herbert Business School, University of Miami, Coral Gables, Florida 33146)

  • Nan Liu

    (Carroll School of Management, Boston College, Chestnut Hill, Massachusetts 02467)

  • Mehmet A. Begen

    (Ivey Business School, Western University, London, Ontario N6G 0N1, Canada)

Abstract

The simultaneous consideration of appointment day (interday scheduling) and time of day (intraday scheduling) in dynamic scheduling decisions is a theoretical and practical problem that has remained open. We introduce a novel dynamic programming framework that incorporates jointly these scheduling decisions in two timescales. Our model is designed with the intention of bridging the two streams of literature on interday and intraday scheduling and to leverage their latest theoretical developments in tackling the joint problem. We establish theoretical connections between two recent studies by proving novel theoretical results in discrete convex analysis regarding constrained multimodular function minimization. Grounded on our theory, we develop a practically implementable and computationally tractable scheduling paradigm with performance guarantees. Numerical experiments demonstrate that the optimality gap is less than 1% for practical instances of the problem.

Suggested Citation

  • Christos Zacharias & Nan Liu & Mehmet A. Begen, 2024. "Dynamic Interday and Intraday Scheduling," Operations Research, INFORMS, vol. 72(1), pages 317-335, January.
    • Handle: RePEc:inm:oropre:v:72:y:2024:i:1:p:317-335
    DOI: 10.1287/opre.2022.2342
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.2022.2342
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.2022.2342?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
    ---><---

    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:inm:oropre:v:72:y:2024:i:1:p:317-335. 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    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.