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

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

Addresses: 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

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

Published online: 31 Jan 2015 *

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