Developing a new model for availability of a series repairable system with multiple cold-standby subsystems and optimization using simulated annealing considering redundancy and repair facility allocation

2012 ◽  
Vol 3 (4) ◽  
pp. 310-322 ◽  
Author(s):  
Ali A. Yahyatabar Arabi ◽  
A. Eshraghniaye Jahromi
Keyword(s):  
Simulated Annealing ◽  
Repairable System ◽  
New Model ◽  
Cold Standby ◽  
Repair Facility

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.

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

scholarly journals Reliability Analysis of an Extended Shock Model and Its Optimization Application in a Production Line

2014 ◽  
Vol 2014 ◽  
pp. 1-10
Author(s):  
Renbin Liu
Keyword(s):  
Production Line ◽  
Shock Model ◽  
Numerical Illustration ◽  
Reliability Indices ◽  
Failure Frequency ◽  
Cold Standby ◽  
Part Time ◽  
Repair Facility ◽  
Startup Period ◽  
Vacation Period

Firstly, a two-unit cold standby shock model with multiple adaptive vacations is introduced, in which the startup and replacement of repair facility are also considered. Secondly, using supplementary variable method and Laplace transform, some important reliability indices are derived, such as availability, failure frequency, mean vacation period, mean renewal cycle, mean startup period, and replacement frequency. Finally, a production line controlled by two cold-standby computers is modeled to present numerical illustration and its optimal part-time job policy at a maximum profit.

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