Abstract
In this paper, we study the reliability and availability characteristics of a repairable system consisting of two subsystems A and B in series. Subsystem A consists of two units A1 and A2 operating in active parallel while subsystem B is a single unit. Failure and repair times are assumed exponential. The explicit expressions of reliability and availability characteristics like mean time to system failure (MTSF), system availability, busy period and profit function are derived using Kolmogorov forward equations method. Various cases are analyzed graphically to investigate the impacts of system parameters on MTSF, availability, busy period and profit function.
Highlights
Reliability is vital for proper utilization and maintenance of any system
We study the reliability and availability characteristics of a repairable system consisting of two subsystems A and B in series
Effect of on mean time to system failure (MTSF), steady-state availability, busy period and profit can be observed in Figures 5, 6, 11 and 16
Summary
Reliability is vital for proper utilization and maintenance of any system It involves techniques for increasing system effectiveness through reducing failure frequency and maintenance-cost minimization. There are systems of three units in which two/three units are sufficient to perform the entire function of the system Such systems are called 2out-of-3 or 3-out-of-3 redundant systems. One of the commonly used forms of redundancy is active parallel system, which often finds applications in various industrial or other types of setup Due to their importance in industries and system design, models of redundant systems as well as methods of evaluating system reliability and availability have been researched in order to improve the system effectiveness (see, for instance, [1] and [2]).
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