Reliability Analysis of an n-unit Standby Repairable System with K Repair Facilities

The problems of reliability and maintainability for repairable systems are investigated in this paper, and Markov process is employed to build the mathematical models of availability and reliability for the repairable systems. Firstly, the formulas of availability and reliability for single repairable systems are deduced. Then, the repairable system with two parallel components and one standby are investigated, which is common in engineering application. Finally, simple approaches are summarized for availability of complicated repairable systems. Since the two approaches has the same result, which provides theoretical proof for the study of repairable systems’reliability and availability.

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Reliability analysis of a repairable system without being repaired “as good as new”

Microelectronics Reliability ◽

10.1016/0026-2714(94)90117-1 ◽

1994 ◽

Vol 34 (2) ◽

pp. 357-360 ◽

Cited By ~ 7

Author(s):

Wu Shao-Ming ◽

Huang Ren ◽

Wan De-jun

Keyword(s):

Reliability Analysis ◽

Repairable System

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The Reliability Analysis of the Repairable System

2010 First ACIS International Symposium on Cryptography, and Network Security, Data Mining and Knowledge Discovery, E-Commerce and Its Applications, and Embedded Systems ◽

10.1109/cdee.2010.33 ◽

2010 ◽

Author(s):

Xiao Xin ◽

Li Jingbo ◽

Ma Li

Keyword(s):

Reliability Analysis ◽

Repairable System

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

Volume 3: ASME/IEEE 2009 International Conference on Mechatronic and Embedded Systems and Applications; 20th Reliability, Stress Analysis, and Failure Prevention Conference ◽

10.1115/detc2009-86995 ◽

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.

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