IDEAS home Printed from https://ideas.repec.org/a/ids/ijmore/v4y2012i6p651-678.html
   My bibliography  Save this article

A solid transportation problem with fuzzy random costs and constraints

Author

Listed:
  • Pravash Kumar Giri
  • Manas Kumar Maiti
  • Manoranjan Maiti

Abstract

Three Fuzzy Random Solid Transportation Problems (FRSTPs) are proposed, where both fuzziness and randomness occur simultaneously in costs and times. Among the models, the first one is a multi-objective model minimising both fuzzy-random total cost and time and other two are fuzzy-random single objective ones with fuzzy-random/fuzzy constraint on time. The fuzzy-random models are transformed to deterministic multi-objective constrained problems following Nanda, S., Panda, G., Dash, J.K., (2008) 'A new methodology for crisp equivalent of fuzzy chance constrained programming problem', Fuzzy Optim. Decision Making, Vol. 7, pp.5974. Finally Pareto optimal decisions are derived using an elitist Multi-Objective Genetic Algorithm (MOGA) with cyclic crossover, two-point mutation and a refining operation.

Suggested Citation

  • Pravash Kumar Giri & Manas Kumar Maiti & Manoranjan Maiti, 2012. "A solid transportation problem with fuzzy random costs and constraints," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 4(6), pages 651-678.
    • Handle: RePEc:ids:ijmore:v:4:y:2012:i:6:p:651-678
    as

    Download full text from publisher

    File URL: http://www.inderscience.com/link.php?id=49938
    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:4:y:2012:i:6:p:651-678. 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.