Int. J. of Industrial and Systems Engineering   »   2011 Vol.7, No.2



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


Author: Alagar Rangan, Dimple T. Venkat, Y. Sarada


Department of Industrial Engineering, Eastern Mediterranean University, Gazimagosa Via Mersin 10, Turkey.
University of Durham, Old Elvet, Durham DH1 3HP, UK.
Department of Mathematics, CEG Anna University Chennai, Chennai 600 025, India


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.


DOI: 10.1504/IJISE.2011.038568


Int. J. of Industrial and Systems Engineering, 2011 Vol.7, No.2, pp.254 - 268


Available online: 11 Feb 2011



Editors Full text accessAccess for SubscribersPurchase this articleComment on this article