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.

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.

Reliability analysis of a two-unit cold standby system with arbitrary distributions and change in units

2020 ◽  
Vol 9 (3) ◽  
pp. 261-272
Author(s):  
Mohamed Salah EL-Sherbeny ◽  
M. A. W. Mahmoud ◽  
Zienab M. Hussien
Keyword(s):  
Reliability Analysis ◽  
Cold Standby ◽  
Standby System

scholarly journals Reliability of an engineering system characterized by hot and cold standby: A compound boundary value problem

2021 ◽  
pp. 16-16
Author(s):  
Edmond Vanderperre ◽  
Stanislav Makhanov
Keyword(s):  
Boundary Value Problem ◽  
Survival Time ◽  
Boundary Value ◽  
Survival Function ◽  
Holomorphic Functions ◽  
Engineering System ◽  
Entire System ◽  
Duplex System ◽  
Cold Standby ◽  
Auxiliary Unit

We analyse the reliability (survival function) of a duplex system characterized by hot standby and sustained by an auxiliary unit in cold standby. The entire system is attended by two heterogeneous repairmen. Our methodology is based on the theory of sectionally holomorphic functions combined with the notion of dual transforms. Finally, we also study the total occupational time of the repairman responsible for the repair of the failed priority unit during the survival time of the system.

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