IJSR - International Journal of Scientific Research

Dr. B. Venkata Ramudu; Dr. G.S. Devasena

Volume : IX, Issue : II, February - 2020

An Optimal replacement problem for a deteriorating system with increasing repair times using Arithmetic Geometric Processes

Dr. B. Venkata Ramudu, Dr. G. S. Devasena

Abstract :

In this paper, an optimal maintenance policy for a reparable deteriorating system subject to random shocks is considered. An explicit expression for the long–term average cost per unit time under a threshold type replacement policy is determined by assuming that the successive repair time form an increasing arithmetic–geometric process and the failure mechanism by a generalized –shock process and minimized the long run average cost per unit time such that an optimal replacement policy N* is obtained analytically. Finally, numerical results are provided to strengthen the obtained theoretical results.