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Comparative Analysis of the Asymptotic Behavior of the Queuing Systems with the Same Numerical Characteristics of Arrival Flow and Service Times

Student: Elena Vasilyeva

Supervisor: Yulia Grishunina

Faculty: HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE)

Educational Programme: Control Systems and Data Processing in Engineering (Master)

Year of Graduation: 2017

In this paper, there are сomparative analysis of asymptotic behavior of the different queuing system and researching the possibility of using Markov models of queuing systems to analyze non-Markovian systems with the identical numerical characteristics of arrival flow and service time. It was constructed the simulation model of the system G| G|n|N. The efficiency indicators of the system for stationary operating condition were calculated for particular cases of this system, Markov and non-Markovian. For the same particular cases a comparative analysis of the results for models with the same mathematical expectations was conducted. There are research on the impact of the incoming flow's dispersion at the system efficiency indicators.

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