Title of article
Reliability of a series system with redundancy and one repair facility
Author/Authors
Zhernovyi, Yuriy V. Ivan Franko National University of Lviv, Lviv, Ukraine , Aliyev, Soltan A. Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan , Yeleyko, Yaroslav I. Ivan Franko National University of Lviv, Lviv, Ukraine
Pages
9
From page
40
To page
48
Abstract
In this paper we propose a method for studying the reliability of series systems with redundancy and one repair facility. The approach based on the use of fictitious phases and hyperexponential
approximations of arbitrary distributions by method of moments. We define conditions for the variation
coefficients of the gamma distributions and Weibull distributions, for which the best accuracy of calculating the steady-state probabilities is achieved in comparison with the results of simulation modeling.
Keywords
reliability , recoverable system , redundancy , series system , hyperexponential approximation , fictitious phases , method of moments
Journal title
Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
Serial Year
2020
Full Text URL
Record number
2612074
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