@article{ref1,
title="Optimum number of minimal repairs for a system under increasing failure rate shock model with cumulative repair-cost limit",
journal="International journal of reliability and safety",
year="2013",
author="Lai, Min Tsai",
volume="7",
number="2",
pages="95-95",
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.<p />",
language="en",
issn="1479-389X",
doi="10.1504/IJRS.2013.056375",
url="http://dx.doi.org/10.1504/IJRS.2013.056375"
}