Abstract
In this paper, we study the reliability and availability characteristics of a repairable 2-out-of-3 system. Failure and repair times are assumed exponential. The explicit expressions of reliability and availability characteristics such as mean time to system failure (MTSF), steady-state availability, busy period and profit function are derived using Kolmogorov’s forward equations method. Various cases are analyzed graphically to investigate the impact of system parameters on MTSF, availability, busy period and profit function.
Highlights
During operation, the strengths of systems are gradually deteriorated, until some point of deterioration failure, or other types of failures
We study the reliability and availability characteristics of a repairable 2-out-of-3 system
We numerically obtained the results for mean time to system failure, system availability, busy period and profit function for all the developed models
Summary
The strengths of systems are gradually deteriorated, until some point of deterioration failure, or other types of failures. There are systems of three/four units in which two/three units are sufficient to perform the entire function of the system Examples of such systems are 2-out-of-3, 2-outof-4, or 3-out-of-4 redundant systems. [1] analyzed reliability models for 2-out-of-3 redundant system subject to conditional arrival time of the server. Reference [2] presented reliability and economic analysis of 2-out-of-3 redundant system with priority to repair, [3] studied MTSF and cost effectiveness of 2-out-of-3 cold standby system with probability of repair and inspection while [4] examined the cost benefit analysis of series systems with cold standby components and repairable. Measures of system effectiveness such MTSF, steady-state availability, busy period and profit function are obtained.
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