Paper Info
Title
A note on replacement policy for a system subject to non-homogeneous pure birth shocks.
Abstract
A system is subject to shocks that arrive according to a non-homogeneous pure birth process. As shocks occur, the system has two types of failures. Type-I failure (minor failure) is removed by a general repair, whereas type-II failure (catastrophic failure) is removed by an unplanned replacement. The occurrence of the failure type is based on some random mechanism which depends on the number of shocks occurred since the last replacement. Under an age replacement policy, a planned (or scheduled) replacement happens whenever art operating system reaches age T. The aim of this note is to derive the expected cost functions and characterize the structure of the optimal replacement policy for such a general setting. We show that many previous models are special cases of our general model. A numerical example is presented to show the application of the algorithm and several useful insights. (C) 2011 Elsevier B.V. All rights reserved.
Year
DOI
Venue
2012
10.1016/j.ejor.2011.07.056
European Journal of Operational Research
Keywords
Field
DocType
Maintenance,Optimization,Reliability,Repair,Age replacement,Birth process
Mathematical optimization,Homogeneous,Catastrophic failure,Expected cost,Mathematics,Operations management
Journal
Volume
Issue
ISSN
216
2
0377-2217
Citations 
PageRank 
References 
11
0.73
8
Authors
4
Name
Order
Citations
PageRank
Shey-huei Sheu159071.39
Chin-Chih Chang252842.33
Zhe George Zhang342444.55
Yu-Hung Chien427525.73