A geometric process repair model for a cold standby repairable system with imperfect delay repair and priority in use

2016 ◽  
Vol 46 (16) ◽  
pp. 8046-8058 ◽  
Author(s):  
Yuan Lin Zhang ◽  
Guan Jun Wang
Keyword(s):  
Repairable System ◽  
Geometric Process ◽  
Cold Standby

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.

Analysis for a two-dissimilar-component cold standby repairable system with repair priority

2011 ◽  
Vol 96 (11) ◽  
pp. 1542-1551 ◽  
Author(s):  
Kit Nam Francis Leung ◽  
Yuan Lin Zhang ◽  
Kin Keung Lai
Keyword(s):  
Repairable System ◽  
Cold Standby
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