Performance Indices of a Cold-Standby System with an Unreliable Switch and Server Using Weibull Failure Model
Abstract
Here, a new probabilistic model of a cold-standby system is developed using semi-Markov theory. The system comprises of two identical units, a switch and a server. The switch facilitates activation of the standby unit and places it into operation as needed. The switch is failure prone and needs inspection to decide about its replacement or repair. The server takes care of all remedial activities in the system. The server is also failure prone and needs treatment at failure. The concept of regeneration points is explored to derive expressions for system’s performance indices. The theoretical results are illustrated with numerical simulation using Weibull failure model.
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