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Optimal Testing Procedures for Special Structures of Coherent Systems

Author

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  • Yosi Ben-Dov

    (The Hebrew University, Jerusalem)

Abstract

Consider the problem of minimizing the expected cost of identifying the state of a coherent system (as "functioning" or "failed"). The system is composed of components (that either fail or work), and only individual components can be tested. Efficient algorithms are presented for some special cases of coherent systems: parallel-series, series-parallel and k-out-of-n systems. Examples are given to demonstrate the algorithms.

Suggested Citation

  • Yosi Ben-Dov, 1981. "Optimal Testing Procedures for Special Structures of Coherent Systems," Management Science, INFORMS, vol. 27(12), pages 1410-1420, December.
    • Handle: RePEc:inm:ormnsc:v:27:y:1981:i:12:p:1410-1420
    DOI: 10.1287/mnsc.27.12.1410
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    Cited by:

    1. Shi, Yue & Zhu, Weihang & Xiang, Yisha & Feng, Qianmei, 2020. "Condition-based maintenance optimization for multi-component systems subject to a system reliability requirement," Reliability Engineering and System Safety, Elsevier, vol. 202(C).
    2. Azaiez, M.N. & Bier, Vicki M., 2007. "Optimal resource allocation for security in reliability systems," European Journal of Operational Research, Elsevier, vol. 181(2), pages 773-786, September.
    3. Tonguç Ünlüyurt, 2005. "Testing Systems of Identical Components," Journal of Combinatorial Optimization, Springer, vol. 10(3), pages 261-282, November.
    4. Ünlüyurt, Tonguç & Boros, Endre, 2009. "A note on "Optimal resource allocation for security in reliability systems"," European Journal of Operational Research, Elsevier, vol. 199(2), pages 601-603, December.
    5. Rostami, Salim & Creemers, Stefan & Wei, Wenchao & Leus, Roel, 2019. "Sequential testing of n-out-of-n systems: Precedence theorems and exact methods," European Journal of Operational Research, Elsevier, vol. 274(3), pages 876-885.
    6. B. De Reyck & Y. Grushka-Cockayne & R. Leus, 2007. "A New Challenge in Project Scheduling. The Incorporation of Activity Failures," Review of Business and Economic Literature, KU Leuven, Faculty of Economics and Business (FEB), Review of Business and Economic Literature, vol. 0(3), pages 410-435.
    7. Goldberg, Noam & Poss, Michael, 2020. "Maximum probabilistic all-or-nothing paths," European Journal of Operational Research, Elsevier, vol. 283(1), pages 279-289.

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