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
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
