Paper Info
Title
A Periodic Replacement Model Based on Cumulative Repair-Cost Limit for a System Subjected to Shocks
Abstract
A system is subject to shocks that arrive according to a non-homogeneous Poisson process. As these shocks occur, the system experiences one of two types of failures: a type-I failure (minor), rectified by a minimal repair; or a type-II failure (catastrophic) that calls for a replacement. In this paper, we consider a periodic replacement model with minimal repair based on a cumulative repair-cost limit. Under such a policy, the system is anticipatively replaced at the n -th type-I failure, or at the k-th type-I failure (k <; n) at which the accumulated repair cost exceeds the pre-determined limit, or at any type-II failure, whichever occurs first. The minimum-cost replacement policy is studied by showing its existence, uniqueness, and structural properties. Our model is a generalization of several classical models in maintenance literature. Some numerical analyses are also presented.
Year
DOI
Venue
2010
10.1109/TR.2010.2048733
IEEE Transactions on Reliability
Keywords
Field
DocType
optimal maintenance,stochastic processes,replacement policy,shocks,maintenance,periodic replacement model,numerical analysis,minimal repair,numerical analyses,cumulative repair-cost limit,nonhomogeneous poisson process,maintenance engineering,cumulant,distribution functions,statistics,random variables,history,informatics,probability density function,technology management,non homogeneous poisson process,computational modeling
Uniqueness,Mathematical optimization,Random variable,Stochastic process,Optimal maintenance,Probability density function,Periodic graph (geometry),Poisson process,Mathematics,Reliability engineering
Journal
Volume
Issue
ISSN
59
2
0018-9529
Citations 
PageRank 
References 
8
0.66
6
Authors
4
Name
Order
Citations
PageRank
Shey-huei Sheu159071.39
Chin-Chih Chang252842.33
Yen-Luan Chen3806.27
Zhe George Zhang442444.55