Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii"
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Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii", 2020, Issue 1, Pages 17–24 (Mi ulsu21)  
Mathematical models multi-stage wear of productive systems

A. A. Butov, M. V. Samokhvalov

Ulyanovsk State University, Ulyanovsk, Russia
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Abstract: The paper considers mathematical models of multi-stage wear of productive systems in martingale terms and survival functions: descriptions of both wear without recovery and with partial or full recovery are presented. The task of finding the optimal level of intensity and the criterion of "just-in-time" for productive systems are formulated, and methods of computer simulation are presented.
Keywords: mathematical modeling, simulation, stochastic productive system, operations, martingale, compensator, intensity, survival function, wear, random environment, just-in-time.
Received: 12.05.2020
Revised: 08.06.2020
Accepted: 12.06.2020
Document Type: Article
UDC: 519.87 + 004.9 + 573.2
Language: Russian
Citation: A. A. Butov, M. V. Samokhvalov, “Mathematical models multi-stage wear of productive systems”, Uchenyye zapiski UlGU. Seriya “Matematika i informatsionnyye tekhnologii”, 2020, no. 1, 17–24
Citation in format AMSBIB
\Bibitem{ButSam20}
\by A.~A.~Butov, M.~V.~Samokhvalov
\paper Mathematical models multi-stage wear of productive systems
\jour Uchenyye zapiski UlGU. Seriya ``Matematika i informatsionnyye tekhnologii''
\yr 2020
\issue 1
\pages 17--24
\mathnet{http://mi.mathnet.ru/ulsu21}
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