A replacement policy for a cold standby system with dependent lifetime and repair time

2011 ◽  
Author(s):  
S. R. Rattihalli
Keyword(s):  
Repair Time ◽  
Replacement Policy ◽  
Cold Standby ◽  
Standby System

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.

scholarly journals Stochastic behavior of a cold standby system with maximum repair time

2015 ◽  
Vol 4 (4) ◽  
pp. 569-578 ◽  
Author(s):  
Ashish Kumar ◽  
Sonali Baweja ◽  
Monika S. Barak
Keyword(s):  
Repair Time ◽  
Stochastic Behavior ◽  
Cold Standby ◽  
Standby System

Reliability of the two-unit priority standby system revisited

2021 ◽  
pp. 1748006X2110518
Author(s):  
Serkan Eryilmaz ◽  
Maxim Finkelstein
Keyword(s):  
Laplace Transform ◽  
Reliability Assessment ◽  
Repair Time ◽  
Matrix Exponential ◽  
Exponential Distributions ◽  
Reliability Indices ◽  
Cold Standby ◽  
The Matrix ◽  
The Laplace Transform ◽  
Standby System

This paper deals with reliability assessment of the repairable two-unit cold standby system when the first, main unit has the better performance level than the second one. Therefore, after its repair, the main unit is always switched into operation. The new Laplace transform representation for the system’s lifetime is obtained for arbitrary operation and repair time distributions of the units. For some particular cases, the Laplace transform of the system is shown to be rational, which enables the use of the matrix-exponential distributions for obtaining relevant reliability indices. The discrete setup of the model is also considered through the corresponding matrix-geometric distributions, which are the discrete analogs of the matrix-exponential distributions.

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