A Systematic Approach to the Reliability Analysis of an n-Unit Warm Standby System With k-Repair Facility

2009 ◽  
Author(s):  
Yu Pang ◽  
Hong-Zhong Huang ◽  
Yu Liu ◽  
Min Xie
Keyword(s):  
Reliability Analysis ◽  
Systematic Approach ◽  
Previous Analysis ◽  
Process Theory ◽  
Repairable System ◽  
Standby System ◽  
General Reliability ◽  
Repair Facility ◽  
Traditional Approaches ◽  
Warm Standby

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.

scholarly journals On the reliability of a renewable multiple cold standby system

2005 ◽  
Vol 2005 (3) ◽  
pp. 269-273
Author(s):  
E. J. Vanderperre
Keyword(s):  
Reliability Analysis ◽  
Queuing Theory ◽  
Survival Function ◽  
Exact Result ◽  
Duplex System ◽  
Cold Standby ◽  
Standby System ◽  
General Reliability

We present a general reliability analysis of a renewable multiple cold standby system attended by a single repairman. Our analysis is based on a refined methodology of queuing theory. The particular case of deterministic failures provides an explicit exact result for the survival function of the duplex system.

Reliability Analysis of Repairable System With Multiple Fault Modes Based on Goal-Oriented Methodology

2015 ◽  
Vol 2 (1) ◽  
Author(s):  
Xiao-Jian Yi ◽  
Jian Shi ◽  
Hai-Ping Dong ◽  
Yue-Hua Lai
Keyword(s):  
Reliability Analysis ◽  
Fault Tree Analysis ◽  
Supply System ◽  
Process Theory ◽  
Repairable System ◽  
Repairable Systems ◽  
Multiple Fault ◽  
Tree Analysis ◽  
Transmission Oil ◽  
Study Results

This paper provides a new goal-oriented (GO) method for reliability analysis of repairable systems with multiple fault modes. First, formulas of operators describing components with multiple fault modes are derived based on Markov process theory. Second, qualitative reliability analysis of such a system is conducted by combining the existing GO method with the Fussell–Vesely method. Third, this new method is applied in reliability analysis of a hydraulic transmission oil supply system. Finally, comparing the study results with fault tree analysis (FTA) and Monte Carlo simulation shows that this new GO method is suitable for reliability analysis of repairable systems with multiple fault modes.

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