A geometric process maintenance model of a repairable system with a replaceable repair-facility

2010 ◽  
Author(s):  
Bing Zhao ◽  
Dequan Yue ◽  
Ruiling Tian
Keyword(s):  
Repairable System ◽  
Geometric Process ◽  
Repair Facility ◽  
Maintenance Model

Analysis of R-out-of-N repairable systems: the case of phase-type distributions

2004 ◽  
Vol 36 (1) ◽  
pp. 116-138 ◽  
Author(s):  
Yonit Barron ◽  
Esther Frostig ◽  
Benny Levikson
Keyword(s):  
Repairable System ◽  
Repairable Systems ◽  
Regenerative Processes ◽  
Numerical Examples ◽  
Independent Components ◽  
Duality Results ◽  
Phase Type ◽  
Phase Type Distributions ◽  
Two Systems ◽  
Repair Facility

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.

Replacement Policy for Cold Standby Repairable System with Priority in Use by Using Arithmetico-Geometric Process

2019 ◽  
Vol 27 (03) ◽  
pp. 2050009
Author(s):  
Raosaheb V. Latpate ◽  
Babasaheb K. Thorve
Keyword(s):  
Working Time ◽  
Repair Time ◽  
Replacement Policy ◽  
Repairable System ◽  
Policy System ◽  
Geometric Process ◽  
Long Run ◽  
Cold Standby ◽  
Study Component ◽  
Renewal Cycle

In this paper, we consider the arithmetico-geometric process (AGP) repair model. Here, the system has two nonidentical component cold standby repairable system with one repairman. Under this study, component 1 has given priority in use. It is assumed that component 2 after repair is as good as new, whereas the component 1 follows AGP. Under these assumptions, by using AGP repair model, we present a replacement policy based on number of failures, [Formula: see text], of component 1 such that long-run expected reward per unit time is maximized. For this policy, system can be replaced when number of failure of the component 1 reaches to [Formula: see text]. Working time of the component 1 is AGP and it is stochastically decreasing whereas repair time of the component 1 is AGP which is stochastically increasing. The expression for long-run expected reward per unit time for a renewal cycle is derived and illustrated proposed policy with numerical examples by assuming Weibull distributed working time and repair time of the component 1. Also, proposed AGP repair model is compared with the geometric process repair model.

A deteriorating repairable system with stochastic lead time and replaceable repair facility

2012 ◽  
Vol 62 (2) ◽  
pp. 609-615 ◽  
Author(s):  
Miaomiao Yu ◽  
Yinghui Tang ◽  
Yonghong Fu ◽  
Lemeng Pan ◽  
Xiaowo Tang
Keyword(s):  
Lead Time ◽  
Repairable System ◽  
Stochastic Lead Time ◽  
Repair Facility

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.

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