IDEAS home Printed from https://ideas.repec.org/a/ids/ijmore/v7y2015i2p194-214.html
   My bibliography  Save this article

EOQ model with backorders under linear combination of possibility and necessity measure

Author

Listed:
  • Hardik N. Soni
  • Manisha Joshi

Abstract

This paper considers an EOQ model with backorders and imprecise holding cost, ordering cost and shortage cost under linear combination of possibility measure and necessity measure. The objective function of this model is to minimise fuzzy total annual cost, which includes fuzzy annual holding cost, fuzzy annual ordering cost and fuzzy annual shortage penalty cost. Making use of mλ-measure, a linear combination of possibility measure and necessity measure, two fuzzy chance-constrained programming models are constructed to determine optimistic and pessimistic values of the objective function. An objective function is optimised with some predefined degree of mλ-measure and accordingly the problem is transferred to an equivalent crisp problem. An analytical approach is developed to resolve the reduced models. To analyse the characteristics of the proposed model and to find the optimal decision under different situations, numerical illustrations are presented along with a sensitivity analysis.

Suggested Citation

  • Hardik N. Soni & Manisha Joshi, 2015. "EOQ model with backorders under linear combination of possibility and necessity measure," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 7(2), pages 194-214.
    • Handle: RePEc:ids:ijmore:v:7:y:2015:i:2:p:194-214
    as

    Download full text from publisher

    File URL: http://www.inderscience.com/link.php?id=68292
    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:ijmore:v:7:y:2015:i:2:p:194-214. 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=320 .

    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.