IDEAS home Printed from https://ideas.repec.org/a/ids/ijores/v22y2015i2p216-242.html
   My bibliography  Save this article

Optimal production inventory problem in imprecise time period

Author

Listed:
  • S. Mandal
  • K. Maity
  • S. Mondal
  • M. Maiti

Abstract

In this paper, for defective items, realistic optimal production-inventory models with fuzzy time period have been formulated and solved. Here, the rate of production is assumed to be a function of time and considered as a control variable. Also, the demand is time dependent and known. The values of an integral over a fuzzy interval are obtained with the help of Zimmerman's technique and fuzzy Riemann integral theory. Also, the surprise function is introduced to convert the fuzzy budget constraint to a crisp one. Then the problem is solved using calculus method and a nonlinear mathematical programming technique - generalised reduced gradient (GRG) technique. The models have been illustrated by numerical data. The optimum results including profit, production and stock levels at different times over the fuzzy time period for different models are obtained and presented in tabular and graphical forms. A real-life illustration is also presented.

Suggested Citation

  • S. Mandal & K. Maity & S. Mondal & M. Maiti, 2015. "Optimal production inventory problem in imprecise time period," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 22(2), pages 216-242.
    • Handle: RePEc:ids:ijores:v:22:y:2015:i:2:p:216-242
    as

    Download full text from publisher

    File URL: http://www.inderscience.com/link.php?id=67345
    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:22:y:2015:i:2:p:216-242. 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.