Title
A deteriorating repairable system with stochastic lead time and replaceable repair facility
Abstract
In this paper, a deteriorating repairable system with stochastic lead time and replaceable repair facility is studied. We assume that the spare system for replacement is available only by an order and the lead time for delivering the spare follows exponential distribution. Moreover, we also suppose that the repair facility may be subject to failure during the repair period. Under these assumptions, by using the geometric process and the supplementary variable technique, some important reliability indices such as the system availability, rate of occurrence of failure (ROCOF) and the probability that the system is waiting for replacement are derived. An ordering policy N-1 and a replacement policy N based on the number of failures of the system are also considered. Furthermore, employing several Lemmas, the explicit expression of the average cost rate is derived. Meanwhile, the optimum value N^* for minimizing the average cost rate could be determined numerically.
Year
DOI
Venue
2012
10.1016/j.cie.2011.11.023
Computers & Industrial Engineering
Keywords
Field
DocType
average cost rate,replacement policy n,repairable system,lead time,system availability,policy n-1,repair period,spare system,replaceable repair facility,stochastic lead time,repair facility
Mathematical optimization,Spare part,Geometric process,Mean time to repair,Average cost,Lead time,Exponential distribution,Engineering,Reliability engineering,Operations management
Journal
Volume
Issue
ISSN
62
2
0360-8352
Citations 
PageRank 
References 
5
0.49
4
Authors
5
Name
Order
Citations
PageRank
Miaomiao Yu1556.13
Yinghui Tang2425.95
Yonghong Fu3252.83
Lemeng Pan4131.36
Xiaowo Tang510614.46