On Sensitivity of Steady-State Probabilities of a Cold Redundant System to the Shapes of Life and Repair Time Distributions of Its Elements

  • Vladimir Rykov
  • Dmitry Kozyrev
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 231)


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.


System reliability Steady state probabilities Sensitivity Mathematical modeling and simulation Redundant systems 



The publication was prepared with the support of the “RUDN University Program 5-100”, and was financially supported by the Russian Foundation for Basic Research according to the research projects No. 17-07-00142 and No. 17-01-00633.


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© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Peoples’ Friendship University of Russia (RUDN University)MoscowRussian Federation
  2. 2.Gubkin Russian State Oil and Gas UniversityMoscowRussia
  3. 3.V.A. Trapeznikov Institute of Control Sciences of Russian Academy of SciencesMoscowRussia

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