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Reliability Test Plans for Series Systems in the Presence of Covariates

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  • Sabnis S. V.

    (Department of Mathematics, Indian Institute of Technology Bombay, Powai, Mumbai-400076, India)

  • Agnihothram G.

    (Infosys Technology Limited, SET LABS, Bangalore, Bangalore-560100, India)

Abstract

With the motivation of developing more realistic test plans, an attempt is made in this paper to construct reliability test plans for the components of series systems under the assumptions thatthe component lifetimes are independent, identically distributed exponential random variables,the failure rates of these exponential random variables depend on covariates, such as room temperature, humidity etc. through linear and exponential relationships.Our test plans differ from the test plans proposed by Altinel and Özekici (1997) and Alitnel et al. (IIE Transactions 33: 1093-1108, 2001, Reliability Engineering and System Safety 78: 33-43, 2002) in the sense that the former assume dependence on covariates through explicit relationships, while the latter make a very general assumption concerning dependence on covariates. It should be noted that as far as the construction of reliability test plans on component level is concerned, this is the first instance of the use of the penalty function methodology. It should also be highlighted that the numerical results given in this paper illustrate that the use of covariates-related information in the linear case leads to more than 90% savings in total testing cost.

Suggested Citation

  • 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.
    • Handle: RePEc:bpj:ecqcon:v:22:y:2007:i:2:p:197-209:n:5
    DOI: 10.1515/EQC.2007.197
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    References listed on IDEAS

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    1. Kuban Altinel, I. & Ozekici, Suleyman, 1998. "Optimum component test plans for systems with dependent components," European Journal of Operational Research, Elsevier, vol. 111(1), pages 175-186, November.
    2. Kuban Altinel, Ismail, 1994. "The design of optimum component test plans in the demonstration of system reliability," European Journal of Operational Research, Elsevier, vol. 78(3), pages 318-333, November.
    3. Sabnis S. V. & Agnihothram G., 2006. "Application of Arithmetic-Geometric Mean Inequality for Construction of Reliability Test Plan for Parallel Systems in the Presence of Covariates," Stochastics and Quality Control, De Gruyter, vol. 21(2), pages 219-230, January.
    4. Shmuel Gal, 1974. "Optimal Test Design for Reliability Demonstration," Operations Research, INFORMS, vol. 22(6), pages 1236-1242, December.
    5. 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.
    Full references (including those not matched with items on IDEAS)

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