AVAILABILITY AND RELIABILITY ANALYSIS OF THREE ELEMENTS PARALLEL SYSTEM WITH FUZZY FAILURE AND REPAIR RATES

M. El Damcese; F.  Abbas; E. El Ghamry

M. El Damcese Department of Mathematics (Section of Statistics), Faculty of Science, Tanta University, 31521, Tanta, Egypt
F. Abbas Department of Engineering physics and Mathematics, Faculty of Engineering, Tanta University, 31521, Tanta, Egypt
E. El Ghamry Department of Engineering physics and Mathematics, Faculty of Engineering, Tanta University, 31521, Tanta, Egypt

Keywords: Fuzzy Rates, Availability, Reliability, Markov Model, Vague Sets, Statistical Data

Abstract

The present study proposes an algorithm to evaluate the fuzzy availability, reliability, steady state availability, and mean time to failure of a repairable parallel system which consists of three identical and independent components by using Markov model. This system fails when the three components fail or it goes to the critical case. The failure rate and the repair rate of each component is represented by triangular shaped vague set determined by using statistical data. Two numerical examples are given to illustrate the introduced algoithm and discribe the performance of the model when the life times and the repair times of the system follow exponential or Rayleigh distribution with fuzzy parameters.

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