scholarly journals The Reliability Analysis of N-Unit Series Repairable System With One Replaceable Repair Facility and a Repairman Doing Other Work

2008 ◽  
Vol 2 (3) ◽  
Author(s):  
Xianyun Meng ◽  
Yanqin Guan ◽  
Jianying Yang ◽  
Taotao Wang
Author(s):  
Yu Pang ◽  
Hong-Zhong Huang ◽  
Yu Liu ◽  
Min Xie

A systematic reliability analysis of n-unit warm standby repairable system with k-repair facility is presented in this paper. Traditional approaches are extended under the following assumptions: (1) the working lifetime, the standby lifetime, and the repair time of failed units are represented as exponential distribution; and (2) the repair of failed units are as good as new after repair. In this paper, a general reliability analysis of an n-unit warm standby repairable system with k-repair facility is presented. Based on previous analysis, the steady-state reliability and the average availability of the system are formulated using the Markov process theory and Laplace transform.


2004 ◽  
Vol 36 (1) ◽  
pp. 116-138 ◽  
Author(s):  
Yonit Barron ◽  
Esther Frostig ◽  
Benny Levikson

An R-out-of-N repairable system, consisting of N independent components, is operating if at least R components are functioning. The system fails whenever the number of good components decreases from R to R-1. A failed component is sent to a repair facility. After a failed component has been repaired it is as good as new. Formulae for the availability of the system using Markov renewal and semi-regenerative processes are derived. We assume that either the repair times of the components are generally distributed and the components' lifetimes are phase-type distributed or vice versa. Some duality results between the two systems are obtained. Numerical examples are given for several distributions of lifetimes and of repair times.


2015 ◽  
Vol 32 (7) ◽  
pp. 2505-2517 ◽  
Author(s):  
Xiao-jian Yi ◽  
B.S. Dhillon ◽  
Jian Shi ◽  
Hui-na Mu ◽  
Hai-ping Dong

2014 ◽  
Vol 38 (24) ◽  
pp. 6075-6097 ◽  
Author(s):  
Wenqing Wu ◽  
Yinghui Tang ◽  
Miaomiao Yu ◽  
Ying Jiang

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