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A shock model for the maintenance of systems and spare with random lead time

Author

Listed:
  • Alagar Rangan
  • Dimple T. Venkat
  • Y. Sarada

Abstract

A non-repairable system is subjected to randomly occurring shocks whose counting process is a renewal process. If the time between two successive shocks is less than a random time called the threshold time, the system fails at the occurrence of the latter shock. A spare with random lead time is ordered when the system is put in operation. Adopting a T-policy and using an appropriate long-run average cost per unit time which reflects the cost of storing a spare and the shocks as well as the cost of downtime an optimal replacement policy is obtained. As an illustration, exponential inter-shock arrival times with constant threshold times δ is considered. Some existing models are shown to be particular cases of the developed model.

Suggested Citation

  • Alagar Rangan & Dimple T. Venkat & Y. Sarada, 2011. "A shock model for the maintenance of systems and spare with random lead time," International Journal of Industrial and Systems Engineering, Inderscience Enterprises Ltd, vol. 7(2), pages 254-268.
    • Handle: RePEc:ids:ijisen:v:7:y:2011:i:2:p:254-268
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