Title: Analysis of availability and reliability of k-out-of-n: F model with fuzzy rates

Authors: Medhat El-Damcese; Neama Temraz

Addresses: Department of Mathematics, Faculty of Science, Tanta University, Tanta – 31527, Egypt ' Department of Mathematics, Faculty of Science, Tanta University, Tanta – 31527, Egypt

Abstract: In this paper, we propose an algorithm to compute the fuzzy availability/reliability of k-out-of-n: F model. This system fails whenever at least k components in the system fail or it goes to the critical case, where the failure and repair rates are modelled by different types of triangular vague sets. Markov chain is used to develop generalised expressions for the system states. This paper includes a numerical example to illustrate the model.

Keywords: fuzzy rates; availability; reliability; Markov chain; k-out-of-n models; k-out-of-n: F system model; common-cause failure; modelling; fuzzy numbers; triangular vague sets; system lifetime; repair time; fuzzy exponential distribution.

DOI: 10.1504/IJCSE.2015.067045

International Journal of Computational Science and Engineering, 2015 Vol.10 No.1/2, pp.192 - 201

Received: 15 Aug 2011
Accepted: 02 May 2012

Published online: 25 Jan 2015 *

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