A shock model for the maintenance of systems and spare with random lead time Online publication date: Sat, 31-Jan-2015
by Alagar Rangan, Dimple T. Venkat, Y. Sarada
International Journal of Industrial and Systems Engineering (IJISE), Vol. 7, No. 2, 2011
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.
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