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On a random lead time and threshold shock model using phase‐type geometric processes

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  • Y. Sarada
  • R. Shenbagam

Abstract

This study investigates two random threshold shock models for a repairable deteriorating system with nonnegligible maintenance times, with and without a spare via a phase‐type geometric process. The system fails whenever the intershock arrival time is less than a random threshold. The provision of stochastic lead time is incorporated in Model II so that an ordering policy N−1 and a replacement policy N based on the number of failures of the system are also considered. An explicit expression of the average cost rate is derived for both models and the optimal replacement policy N* is obtained by minimizing the long‐run average cost rate analytically. The numerical illustrations and sensitivity analysis provided therein conform to the observations made in the study.

Suggested Citation

  • Y. Sarada & R. Shenbagam, 2018. "On a random lead time and threshold shock model using phase‐type geometric processes," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 34(3), pages 407-422, May.
    • Handle: RePEc:wly:apsmbi:v:34:y:2018:i:3:p:407-422
    DOI: 10.1002/asmb.2308
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    Cited by:

    1. Sarada, Y. & Shenbagam, R., 2021. "Optimization of a repairable deteriorating system subject to random threshold failure using preventive repair and stochastic lead time," Reliability Engineering and System Safety, Elsevier, vol. 205(C).

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