Availability of a two-unit warm standby system with different fuzzy Rayleigh failure rates

Abstract

In the present paper, analysis of a two-unit warm standby system is introduced where the life and repair times of the components of the system are assumed to be fuzzy variables follow fuzzy Rayleigh distribution. Fuzzy Rayleigh distribution is the Rayleigh distribution with fuzzy parameters. Markov models are used to construct the mathematical model of the system. Analysis of the availability function of the model is introduced. A general expression for steady state availability is deduced. A numerical example is introduced for illustration.