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A dynamic model for component testing

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  • I. Kuban Altinel
  • Süleyman Özekici

Abstract

We consider the component testing problem of a system where the main feature is that the component failure rates are not constant parameters, but they change in a dynamic fashion with respect to time. More precisely, each component has a piecewise‐constant failure‐rate function such that the lifetime distribution is exponential with a constant rate over local intervals of time within the overall mission time. There are several such intervals, and the rates change dynamically from one interval to another. We note that these lifetime distributions can also be used in a more general setting to approximate arbitrary lifetime distributions. The optimal component testing problem is formulated as a semi‐infinite linear program. We present an algorithmic procedure to compute optimal test times based on the column‐generation technique and illustrate it with a numerical example. © 1997 John Wiley & Sons, Inc. Naval Research Logistics 44: 187–197, 1997

Suggested Citation

  • I. Kuban Altinel & Süleyman Özekici, 1997. "A dynamic model for component testing," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(2), pages 187-197, March.
    • Handle: RePEc:wly:navres:v:44:y:1997:i:2:p:187-197
    DOI: 10.1002/(SICI)1520-6750(199703)44:23.0.CO;2-5
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    References listed on IDEAS

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    1. 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.
    2. 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. 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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