IDEAS home Printed from https://ideas.repec.org/a/ids/ijores/v31y2018i4p510-544.html
   My bibliography  Save this article

Multi-item multi-stage transportation problem with breakability

Author

Listed:
  • Abhijit Baidya
  • Uttam Kumar Bera
  • Manoranjan Maiti

Abstract

In this manuscript, we formulate and solve four newly developed multi-stage multi item transportation models with breakability and restriction on transportation. Normally, due to bad condition of the road and vehicle, the breakable transported units got damaged. Here, the units are first transported from plants to distribution centres (DCs) and then from DC to customers. Four multi-item multi-stage transportation problems (MIMSTPs) are formulated to minimise the total transportation cost where the unit transportation costs, capacities of plants and DCs and demands of customers for the four models are crisp, fuzzy, stochastic and fuzzy-stochastic in nature respectively. For all models, breakability coefficient is taken deterministic. For the fuzzy model, generalised triangular fuzzy number (GTFN) and mean of cut (MC) method are considered. The chance constraint programming technique is used to find the deterministic form of the stochastic and fuzzy-stochastic models. The models are illustrated with numerical examples and solved using the LINGO-13 solver. In particular, with restricted number of DCs, the optimum results are also obtained. Some sensitivity analysis is also presented for model 1 with respect to breakability and deficit in demand.

Suggested Citation

  • Abhijit Baidya & Uttam Kumar Bera & Manoranjan Maiti, 2018. "Multi-item multi-stage transportation problem with breakability," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 31(4), pages 510-544.
    • Handle: RePEc:ids:ijores:v:31:y:2018:i:4:p:510-544
    as

    Download full text from publisher

    File URL: http://www.inderscience.com/link.php?id=90430
    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.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Subrat Sarangi & Sudipta Sarangi & Nasim S. Sabounchi, 2023. "How managerial perspectives affect the optimal fleet size and mix model: a multi-objective approach," OPSEARCH, Springer;Operational Research Society of India, vol. 60(1), pages 1-23, March.

    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:31:y:2018:i:4:p:510-544. 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.