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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
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    Cited by:

    1. 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.
    2. 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.
    3. 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.

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