Citation

Lai MT. Int. J. Reliab. Saf. 2013; 7(2): 95.

Copyright

(Copyright © 2013, Inderscince Publishers)

DOI

10.1504/IJRS.2013.056375

PMID

unavailable

Abstract

In this paper, a replacement model for a system subject to an increasing failure rate shock process, incorporating a cumulative repair-cost-limit, is presented. The shocks are divided into two types: type I and type II shocks. Type I shocks increase the failure rate of the system along with the age of the system and make the system eventually into a minor failure. Type II shocks whenever they occur make the system a critical failure. A minor failure is corrected by minimal repair, while a critical failure is rectified by replacement. The system is replaced at n-th minor failure, or a minor failure at which the accumulated repair cost exceeds a pre-determined threshold L, or at a critical failure. The minimum-cost replacement policy is studied and a sensitivity analysis is conducted to evaluate the effect of model parameters on the optimal number n*.

KEYWORDS: discrete replacement policy; increasing failure rate shock model; cumulative repair-cost-limit; minimal repair; replacement models.