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Availability and Reliability Analysis for Dependent System with Load-Sharing and Degradation Facility
International Journal of Systems Science and Applied Mathematics
Volume 3, Issue 1, March 2018, Pages: 10-15
Received: May 22, 2018; Accepted: Jun. 14, 2018; Published: Jul. 13, 2018
Author
Neama Salah Youssef Temraz, Mathematics Department, Faculty of Science, Tanta University, Tanta, Egypt
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Abstract
In this paper, analysis of a system consists of two dependent components with degradation facility and load sharing is introduced. The system is considered to be consisted of two components connected in parallel and works dependently where the failure of any component affects the failure of the other one. In addition, it is assumed that there is a common failure between the two components. All failure and repair rates are assumed to be constant follow bivariate exponential distribution. Markov models are used to construct the mathematical model of the system. Analysis of the availability function and steady-state availability of the model is discussed. Reliability and mean time to failure for the system is introduced. A numerical example is given for illustration.
Keywords
Bivariate Exponential Distribution, Availability, Steady State Availability, Reliability, Mean Time to Failure, Markov Models, Load-Sharing Models, Degradation
Neama Salah Youssef Temraz, Availability and Reliability Analysis for Dependent System with Load-Sharing and Degradation Facility, International Journal of Systems Science and Applied Mathematics. Vol. 3, No. 1, 2018, pp. 10-15. doi: 10.11648/j.ijssam.20180301.12
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