On k-out-of-n System Under Full Repair and Arbitrary Distributed Repair Time

A k-out-of-n : F renewable system with exponentially distributed life-times, and arbitrary distributed repair times of its components under a partial repair regime has been investigated in the paper [1]. This paper deals with the same model under the full repair regime after the system failure. For this model we use Markovization method, based on adding of supplementary variables for the service process, describing system behavior in our analysis. © 2021, Springer Nature Switzerland AG.

Authors
Dimitrov B.1 , Rykov V. 2, 3, 4
Publisher
Springer Science and Business Media Deutschland GmbH
Language
English
Pages
323-335
Status
Published
Volume
13144 LNCS
Year
2021
Organizations
  • 1 Department of Mathematics, Kettering University, Flint, MI, United States
  • 2 Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
  • 3 Gubkin Oil and Gas Russian State University (Gubkin University), 65 Leninsky prospect, Moscow, 119991, Russian Federation
  • 4 Institute for Transmission Information Problems (named after A.A. Kharkevich) RAS, Bolshoy Karetny, 19, 4, Moscow, Russian Federation
Keywords
Arbitrary distributed repair times; k-out-of-n : F system; Markovizaton method; Time-dependent and Stationary Process Probabilities
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