IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v13y1967i11p887-899.html
   My bibliography  Save this article

Integer Programming Formulation of Constrained Reliability Problems

Author

Listed:
  • F. A. Tillman

    (Kansas State University)

  • J. M. Liittschwager

    (University of Iowa)

Abstract

This paper investigates the solution by integer programming of reliability optimization problems which are subject to linear and nonlinear separable restraints. In particular, the following problems are solved: (1) maximizing reliability for a parallel redundancy system subject to multiple linear restraints, (2) minimizing cost of a parallel redundancy system subject to multiple nonlinear and separable restraint functions while maintaining an acceptable level of reliability, (3) optimal choice of design for a parallel redundancy system. Also discussed are the necessary alterations to the above formulations for problems involving standby redundant units.

Suggested Citation

  • F. A. Tillman & J. M. Liittschwager, 1967. "Integer Programming Formulation of Constrained Reliability Problems," Management Science, INFORMS, vol. 13(11), pages 887-899, July.
  • Handle: RePEc:inm:ormnsc:v:13:y:1967:i:11:p:887-899
    DOI: 10.1287/mnsc.13.11.887
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mnsc.13.11.887
    Download Restriction: no

    File URL: https://libkey.io/10.1287/mnsc.13.11.887?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Citations

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


    Cited by:

    1. M Bachlaus & N Shukla & M. K. Tiwari & R Shankar, 2006. "Optimization of system reliability using chaos-embedded self-organizing hierarchical particle swarm optimization," Journal of Risk and Reliability, , vol. 220(2), pages 77-91, December.
    2. Christopher Garcia, 2018. "Optimal multiunit transfer over adversarial paths with increasing intercept probabilities," IISE Transactions, Taylor & Francis Journals, vol. 50(11), pages 989-996, November.
    3. Subba Rao V. Majety & Milind Dawande & Jayant Rajgopal, 1999. "Optimal Reliability Allocation with Discrete Cost-Reliability Data for Components," Operations Research, INFORMS, vol. 47(6), pages 899-906, December.

    More about this item

    Statistics

    Access and download statistics

    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:inm:ormnsc:v:13:y:1967:i:11:p:887-899. 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    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.