IDEAS home Printed from https://ideas.repec.org/a/ids/ijmore/v4y2012i4p439-452.html
   My bibliography  Save this article

Reliability evaluation of network flows with stochastic capacity and cost constraint

Author

Listed:
  • H. Salehi Fathabadi
  • M. Khodaei

Abstract

This paper addresses flow networks whose arcs have finite and independent random capacities. The reliability of such a system, that is the probability that d units of flow can be transmitted from the source node to the sink node with total cost at most equal to c, can be computed in terms of Minimal Path Vectors, named as (d, c)-MPs. In this paper, first, a method for computing the upper and lower bounds of the capacity cost of the system is proposed. The presented method shows how to compute a (d, c)-MP with the minimum capacity cost. Subsequently, we develop an algorithm, based on the computed bounds, to generate all (d, c)-MPs and then, the system reliability is calculated in terms of such (d, c)-MPs. The computational complexity of the proposed algorithm is also presented. At the end the solution procedure is illustrated by an example.

Suggested Citation

  • H. Salehi Fathabadi & M. Khodaei, 2012. "Reliability evaluation of network flows with stochastic capacity and cost constraint," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 4(4), pages 439-452.
    • Handle: RePEc:ids:ijmore:v:4:y:2012:i:4:p:439-452
    as

    Download full text from publisher

    File URL: http://www.inderscience.com/link.php?id=48904
    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. Mansur Babagana & Bello Gimba & Ibrahim Yusuf, 2016. "Introducing probabilistic models for redundant system reliability," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 26(1), pages 5-18.

    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:4:p:439-452. 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.