Issue |
ITM Web Conf.
Volume 10, 2017
2017 Seminar on Systems Analysis
|
|
---|---|---|
Article Number | 03006 | |
Number of page(s) | 4 | |
Section | Complex System Analysis | |
DOI | https://doi.org/10.1051/itmconf/20171003006 | |
Published online | 15 March 2017 |
Non-Stationary Single-Channel Queuing System Features Research in Context of Number of Served Queries
Ural Federal University, Institute of Radioelectronics and Information Technologies, 620002, 32 Mira street, Yekaterinburg, Russia
* Corresponding author: korelin.ivan@gmail.com
This work devoted to researching of mathematical model of non-stationary queuing system (NQS). Arrival rate in studied NQS λ(t) is similar to rate which observed in practice in a real access control system of objects of mass events. Dependence of number of serviced requests from time was calculated. It is proven that the ratio value of served requests at the beginning of event to all served requests described by a deterministic function, depending on the average service rate and the maximum value of the arrival rate function λ(t).
© The Authors, published by EDP Sciences, 2017
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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