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 *