Sensitivity Analysis of a k-out-of-n:F System Characteristics to Shapes of Input Distribution

The problem of sensitivity of a redundant system’s probability characteristics to shapes of the input distributions is considered. In some previous works, closed-form representations have been obtained for stationary characteristics of hot-standby redundant systems with exponential lifetime distribution of their elements and general distribution of their repair time. In the current paper we carry out the sensitivity analysis of a k-out-of - n :F system with the help of a simulation approach. Comparison of analytic and simulation results is presented. © 2020, Springer Nature Switzerland AG.

Authors
Rykov V.V. 1, 2, 4 , Ivanova N.M. 1, 3 , Kozyrev D.V. 1, 3
Language
English
Pages
485-496
Status
Published
Volume
12563 LNCS
Year
2020
Organizations
  • 1 Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya Street, Moscow, 117198, Russian Federation
  • 2 Gubkin Russian State Oil and Gas University, 65 Leninsky Prospekt, Moscow, 119991, Russian Federation
  • 3 V.A.Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, 65 Profsoyuznaya Street, Moscow, 117997, Russian Federation
  • 4 Kharkevich Institute for Information Transmission Problems of Russian Academy of Sciences (IITP RAS), 19, Building 1, B. Karetny Per., Moscow, 127051, Russian Federation
Keywords
AnyLogic environment; k-out-of-n:F system; Mathematical modeling and simulation; Sensitivity analysis; Steady state probabilities
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