On sensitivity of steady-state probabilities of a cold redundant system to the shapes of life and repair time distributions of its elements

The problem of sensitivity of a redundant system’s reliability characteristics to shapes of their input distributions is considered. In Efrosinin and Rykov, Information Technologies and Mathematical Modelling, 2014, [1] an analytical form for dependence of a two-unit cold standby redundant system reliability characteristics on life and repair time input distributions was obtained and investigated for the case of exponential distribution of one of the time lengths. In the current chapter this study is extended with the help of simulation method to a general case of both non-exponential distributions. Comparison of analytic and simulation results was carried out. © Springer International Publishing AG, part of Springer Nature 2018.

Authors
Rykov V. 1, 2 , Kozyrev D. 1, 3
Publisher
Springer New York LLC
Language
English
Pages
391-402
Status
Published
Volume
231
Year
2018
Organizations
  • 1 Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
  • 2 Gubkin Russian State Oil and Gas University, Moscow, Russian Federation
  • 3 V.A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow, Russian Federation
Keywords
Mathematical modeling and simulation; Redundant systems; Sensitivity; Steady state probabilities; System reliability
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