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Bayesian Study Of A Two-Component System With Common-Cause Shock Failures

Author

Listed:
  • V. S. S. YADAVALLI

    (Department of Industrial & System Engineering, University of Pretoria, Pretoria 0002, South Africa)

  • A. BEKKER

    (Department of Statistics, University of South Africa, P O Box 392, 0003 UNISA, South Africa)

  • J. PAUW

    (Department of Statistics, University of Pretoria, Pretoria 0002, South Africa)

Abstract

The steady-state availability of a two-component system in series and parallel subject to individual failures (I-failures) and common-cause shock (CCS) failures is studied from a Bayesian viewpoint with different types of priors assumed for the unknown parameters in the system. Monte Carlo simulation is used to derive the posterior distribution for the steady-state availability and subsequently the highest posterior density intervals. A numerical example illustrates the results.

Suggested Citation

  • V. S. S. Yadavalli & A. Bekker & J. Pauw, 2005. "Bayesian Study Of A Two-Component System With Common-Cause Shock Failures," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 22(01), pages 105-119.
    • Handle: RePEc:wsi:apjorx:v:22:y:2005:i:01:n:s0217595905000480
    DOI: 10.1142/S0217595905000480
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    Cited by:

    1. Cui, Lirong & Li, Haijun, 2007. "Analytical method for reliability and MTTF assessment of coherent systems with dependent components," Reliability Engineering and System Safety, Elsevier, vol. 92(3), pages 300-307.
    2. Hsu, Ying-Lin & Lee, Ssu-Lang & Ke, Jau-Chuan, 2009. "A repairable system with imperfect coverage and reboot: Bayesian and asymptotic estimation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(7), pages 2227-2239.

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