IDEAS home Printed from https://ideas.repec.org/a/ids/ijrsaf/v6y2012i4p283-310.html
   My bibliography  Save this article

Algorithms for minimising the lost flow due to failed components in repairable flow networks with complex topology

Author

Listed:
  • Michael T. Todinov

Abstract

A number of fundamental theorems related to non-reconfigurable repairable flow networks have been stated and proved. For a specified source-to-sink path, the difference between the sum of the unavailabilities of its forward edges and the sum of the unavailabilities of its backward edges is the path resistance. In a repairable flow network, the absence of augmentable cyclic paths with negative resistance is a necessary and sufficient condition for a minimum lost flow due to edge failures. For a specified source-to-sink path, the difference between the sum of the hazard rates of its forward empty edges and the sum of the hazard rates its backward empty edges is the flow disruption number of the path. The absence of augmentable cyclic paths with a negative flow disruption number is a necessary and sufficient condition for a minimum probability of undisturbed throughput flow, by edge failures.

Suggested Citation

  • Michael T. Todinov, 2012. "Algorithms for minimising the lost flow due to failed components in repairable flow networks with complex topology," International Journal of Reliability and Safety, Inderscience Enterprises Ltd, vol. 6(4), pages 283-310.
    • Handle: RePEc:ids:ijrsaf:v:6:y:2012:i:4:p:283-310
    as

    Download full text from publisher

    File URL: http://www.inderscience.com/link.php?id=49597
    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:ijrsaf:v:6:y:2012:i:4:p:283-310. 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=98 .

    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.