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

Alagar Rangan, Dimple T. Venkat and Y. Sarada

International Journal of Industrial and Systems Engineering, 2011, vol. 7, issue 2, 254-268

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.

Keywords: shocks; renewal process; lethal shock; shock frequency; replacement policy; spares; lead times; shock modelling. (search for similar items in EconPapers)
Date: 2011
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