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Optimum number of minimal repairs for a system under increasing failure rate shock model with cumulative repair-cost limit

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  • Min-Tsai Lai

Abstract

In this paper, a replacement model for a system subject to an increasing failure rate shock process, incorporating a cumulative repair-cost-limit, is presented. The shocks are divided into two types: type I and type II shocks. Type I shocks increase the failure rate of the system along with the age of the system and make the system eventually into a minor failure. Type II shocks whenever they occur make the system a critical failure. A minor failure is corrected by minimal repair, while a critical failure is rectified by replacement. The system is replaced at n-th minor failure, or a minor failure at which the accumulated repair cost exceeds a pre-determined threshold L, or at a critical failure. The minimum-cost replacement policy is studied and a sensitivity analysis is conducted to evaluate the effect of model parameters on the optimal number n*.

Suggested Citation

  • Min-Tsai Lai, 2013. "Optimum number of minimal repairs for a system under increasing failure rate shock model with cumulative repair-cost limit," International Journal of Reliability and Safety, Inderscience Enterprises Ltd, vol. 7(2), pages 95-107.
    • Handle: RePEc:ids:ijrsaf:v:7:y:2013:i:2:p:95-107
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    Cited by:

    1. Sanku Dey & Emrah Altun & Devendra Kumar & Indranil Ghosh, 2023. "The Reflected-Shifted-Truncated Lomax Distribution: Associated Inference with Applications," Annals of Data Science, Springer, vol. 10(3), pages 805-828, June.
    2. Ateq Alghamedi & Sanku Dey & Devendra Kumar & Saeed A. Dobbah, 2020. "A New Extension of Extended Exponential Distribution with Applications," Annals of Data Science, Springer, vol. 7(1), pages 139-162, March.

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