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  4. Semi-Markov reliability model of functioning of wireless telecommunication system with complex control system

Semi-Markov reliability model of functioning of wireless telecommunication system with complex control system

MMC.
2019;
Volume 6, Number 2
: pp.192–210
https://doi.org/10.23939/mmc2019.02.192
Received: September 10, 2019
Revised: October 25, 2019
Accepted: October 28, 2019

Mathematical Modeling and Computing, Vol. 6, No. 2, pp. 192–210 (2019)

Authors:
  1. Yu. Ya. Bobalo
  2. I. V. Horbatyi
  3. M. D. Kiselychnyk
  4. I. P. Medynsky
  5. M. V. Melen
1
Lviv Polytechnic National University
2
Lviv Polytechnic National University
3
Lviv Polytechnic National University
4
Lviv Polytechnic National University
5
Lviv Polytechnic National University

A mathematical reliability model in the form of a semi-Markov process of failures and recoveries has been constructed for a high-reliability wireless telecommunication system with a complex control system.  The main characteristics of this process have been obtained, as well as an analytical expression for estimation of the probability of retaining the system in an operable state.  This expression depends on the parameters of the semi-Markov process, which are determined by the reliability characteristics of the controlled modules, of their control hardware and by the parameters of the used means of control of the correct functioning of the system under consideration.

high reliability system
complex control system
semi-Markov process
Markov recovery equation
wireless communication system
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