Analyzing the Effects of Repairman Failure in Stochastic Models of Non-Identical Redundant Systems

Abstract

A stochastic analysis is presented here of a repairable system containing two non-identical units, one of which is a duplicate and the other is a main unit. When the units are operative, they have a direct complete failure. During his work with the main unit, a single repairman may encounter problems that may cause his work to fail. During the repair of the duplicate unit, the repairman encounters no problems. Duplicate units receive priority for repair and operation over primary units. After receiving treatment, the repairman can perform his duties with full efficiency. For failure rates of the units, negative exponential distributions were used, while for repair and treatment rates, arbitrary distributions were used. The semi-Markov process and regenerative point technique studied various possible transition states. The reliability characteristics of the system model have been examined numerically and graphically for various parameter values. The profit of the system has also been analyzed for some fixed values of repair and other maintenance costs.