| Issue |
ITM Web Conf.
Volume 16, 2018
AMCSE 2017 - International Conference on Applied Mathematics, Computational Science and Systems Engineering
|
|
|---|---|---|
| Article Number | 01008 | |
| Number of page(s) | 4 | |
| Section | Communications-Systems-Signal Processing | |
| DOI | https://doi.org/10.1051/itmconf/20181601008 | |
| Published online | 09 January 2018 | |
On the analysis of the limited resources queuing system under MAP arrivals
1
Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
2
Institute of Informatics Problems, FRC CSC RAS, 44-2 Vavilova Str., Moscow, 119333, Russian Federation
* Corresponding author: sopin_es@rudn.university
In the paper, we analyse a multiserver queuing system with discrete limited resources and random resource requirements under MAP arrivals, which can adequately model resource allocation schemes in the contemporary wireless networks. The equilibrium system of equations is derived in the vector form and is solved numerically. With stationary probability distribution, we provide formulas for the average and the variance of the occupied resources, as well as for the blocking probability. The results are illustrated by a numerical example.
© The Authors, published by EDP Sciences, 2018
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. (http://creativecommons.org/licenses/by/4.0/).
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