IDEAS home Printed from https://ideas.repec.org/a/ids/ijores/v35y2019i4p551-574.html
   My bibliography  Save this article

Using valid inequalities to solve the integrated production-inventory-distribution-routing problem

Author

Listed:
  • Noha Mostafa
  • Amr Eltawil

Abstract

The production-inventory-distribution-routing problem is an integrated supply chain management problem that combines decisions on several functions. The objective is to minimise the total costs without violating demand fulfilment policy. A production-inventory-distribution-routing problem of medium size is a combinatorial optimisation problem mostly intractable to solve using exact methods. The main contribution of this work is to introduce valid inequalities for a problem with a single plant, multiple products and multiple heterogeneous vehicles to improve the quality of lower bounds, obtain a good approximation of the convex hull of the polyhedron of the problem and reduce its hypervolume, so that the computation time can be reduced without a significant effect on the quality of the solutions found. The results showed that adding the valid inequalities to the model can improve the percentage gaps for all the tested instances with a significant improvement in the lower bounds from the poor bounds obtained from the linear programming relaxation (up to 98.8% for the dataset of 50 customers and up to 79.7% for the dataset of 100 customers).

Suggested Citation

  • Noha Mostafa & Amr Eltawil, 2019. "Using valid inequalities to solve the integrated production-inventory-distribution-routing problem," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 35(4), pages 551-574.
    • Handle: RePEc:ids:ijores:v:35:y:2019:i:4:p:551-574
    as

    Download full text from publisher

    File URL: http://www.inderscience.com/link.php?id=101460
    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.

    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:ids:ijores:v:35:y:2019:i:4:p:551-574. 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: Sarah Parker (email available below). General contact details of provider: http://www.inderscience.com/browse/index.php?journalID=170 .

    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.