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Minimum cost component test plans for evaluating reliability of a highly reliable parallel system

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  • Jayant Rajgopal
  • Mainak Mazumdar

Abstract

One approach to evaluating system reliability is the use of system based component test plans. Such plans have numerous advantages over complete system level tests, primarily in terms of time and cost savings. This paper considers one of the two basic building blocks of many complex systems, namely a system of n parallel components, and develops minimum cost component test plans for evaluating the reliability of such a system when the component reliabilities are known to be high. Two different decision rules are considered and the corresponding optimization problems are formulated and solved using techniques from mathematical programming. © 1997 John Wiley & Sons, Inc. Naval Research Logistics 44: 401–418, 1997

Suggested Citation

  • Jayant Rajgopal & Mainak Mazumdar, 1997. "Minimum cost component test plans for evaluating reliability of a highly reliable parallel system," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(5), pages 401-418, August.
    • Handle: RePEc:wly:navres:v:44:y:1997:i:5:p:401-418
    DOI: 10.1002/(SICI)1520-6750(199708)44:53.0.CO;2-8
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    References listed on IDEAS

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    1. Shmuel Gal, 1974. "Optimal Test Design for Reliability Demonstration," Operations Research, INFORMS, vol. 22(6), pages 1236-1242, December.
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    Cited by:

    1. Sabnis S. V. & Agnihothram G., 2007. "Reliability Test Plans for Series Systems in the Presence of Covariates," Stochastics and Quality Control, De Gruyter, vol. 22(2), pages 197-209, January.
    2. Qianru Ge & Willem van Jaarsveld & Zümbül Atan, 2020. "Optimal redesign decisions through failure rate estimates," Naval Research Logistics (NRL), John Wiley & Sons, vol. 67(4), pages 254-271, June.
    3. Fernández, Arturo J., 2015. "Optimum attributes component test plans for k-out-of-n:F Weibull systems using prior information," European Journal of Operational Research, Elsevier, vol. 240(3), pages 688-696.
    4. P. Vellaisamy & S. Sankar, 2002. "Two‐stage component test plans for testing the reliability of a series system," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(1), pages 95-116, February.
    5. M. Kumar & P. N. Bajeel, 2018. "Design of component reliability test plan for a series system having time dependent testing cost with the presence of covariates," Computational Statistics, Springer, vol. 33(3), pages 1267-1292, September.

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