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

Authors: Neama Salah Youssef Temraz

Addresses: Mathematics Department, Faculty of Science, Tanta University, Tanta, Egypt

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.

Keywords: availability; steady-state availability; warm standby system; Markov models; Rayleigh distribution; different failure rates; fuzzy numbers.

DOI: 10.1504/IJFCM.2019.100331

International Journal of Fuzzy Computation and Modelling, 2019 Vol.2 No.4, pp.322 - 333

Received: 11 Jan 2018
Accepted: 13 Oct 2018
Published online: 26 Jun 2019 *

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