Repairable 3-out-of-4: Cold standby system availability

2017 ◽  
Author(s):  
Mohamed Grida ◽  
Abdelnaser Zaid ◽  
Ghada Kholief
Keyword(s):  
System Availability ◽  
Cold Standby ◽  
Standby System

scholarly journals Reliability Analysis of a Cold Standby System with Imperfect Repair and under Poisson Shocks

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Yutian Chen ◽  
Xianyun Meng ◽  
Shengqiang Chen
Keyword(s):  
Poisson Process ◽  
Reliability Analysis ◽  
System Availability ◽  
Reliability Indices ◽  
Intrinsic Factors ◽  
Cold Standby ◽  
Tauberian Theory ◽  
The Mean ◽  
Standby System ◽  
Mean Time

This paper considers the reliability analysis of a two-component cold standby system with a repairman who may have vacation. The system may fail due to intrinsic factors like aging or deteriorating, or external factors such as Poisson shocks. The arrival time of the shocks follows a Poisson process with the intensityλ>0. Whenever the magnitude of a shock is larger than the prespecified threshold of the operating component, the operating component will fail. The paper assumes that the intrinsic lifetime and the repair time on the component are an extended Poisson process, the magnitude of the shock and the threshold of the operating component are nonnegative random variables, and the vacation time of the repairman obeys the general continuous probability distribution. By using the vector Markov process theory, the supplementary variable method, Laplace transform, and Tauberian theory, the paper derives a number of reliability indices: system availability, system reliability, the rate of occurrence of the system failure, and the mean time to the first failure of the system. Finally, a numerical example is given to validate the derived indices.

Joint optimization of components redundancy, spares inventory and repairmen allocation for a standby series system

2018 ◽  
Vol 233 (4) ◽  
pp. 623-638
Author(s):  
Xian Zhao ◽  
Jing Zhang ◽  
Xiaoyue Wang
Keyword(s):  
Optimal Solution ◽  
Optimal Number ◽  
Joint Optimization ◽  
Series System ◽  
Inventory Policy ◽  
System Availability ◽  
Cold Standby ◽  
Batch Ordering ◽  
The Mathematical Model ◽  
Warm Standby

In the past, redundancy, inventory and maintenance are often considered separately to improve the system availability. Recently, a few joint optimization papers have emerged, but they only considered hot-standby redundancy, one-for-one-ordering inventory policy and the case of single repairman. In order to deepen the previous research, this article formulates a joint optimization model of components redundancy, spares inventory and repairmen allocation for a standby series system with an objective of maximizing system availability. As to the components redundancy, hot-standby, warm-standby and cold-standby are considered, respectively. A more general batching ordering inventory policy is adopted and the number of repairmen is added as a new element. By continuous time Markov process, related reliability probability indices are derived. Then the mathematical model is constructed and branch-and-bound method is employed to solve the optimal solution. Finally, we conduct analysis and comparison for different numerical examples and obtain the following results: cold-standby and warm-standby redundancy yield higher availabilities compared to hot-standby under the same conditions. The optimal batch ordering inventory policy is better than optimal one-for-one-ordering inventory policy if the spares replenishment rate is not high enough. Moreover, an optimal number of repairmen, which is always more than one, can be achieved to enhance the efficiency of maintenance.

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
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