Optimal age-replacement time with minimal repair based on cumulative repair-cost limit for a system subject to shocks

Shey-Huei Sheu (), Chin-Chih Chang () and Yu-Hung Chien ()

Annals of Operations Research, 2011, vol. 186, issue 1, 317-329

Abstract: An operating system is subject to random shocks that arrive according to a non-homogeneous Poisson process and cause the system failed. System failures experience to be divided into two categories: a type-I failure (minor), rectified by a minimal repair; or a type-II failure (catastrophic) that calls for a replacement. An age-replacement model is studied by considering both a cumulative repair-cost limit and a system’s entire repair-cost history. Under such a policy, the system is replaced at age T, or at the k-th type-I failure at which the accumulated repair cost exceeds the pre-determined limit, or at any type-II failure, whichever occurs first. The object of this article is to study analytically the minimum-cost replacement policy for showing its existence, uniqueness, and the structural properties. The proposed model provides a general framework for analyzing the maintenance policies, and presents several numerical examples for illustration purposes. Copyright Springer Science+Business Media, LLC 2011

Keywords: Maintenance; Minimal repair; Replacement policy; Cumulative repair-cost limit; Age-replacement (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (10)

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DOI: 10.1007/s10479-011-0864-9

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