Queuing systems with resources and signals and their application for performance evaluation of wireless networks

K. E. Samouylov^ab, E. S. Sopin^ab, S. Ya. Shorgin<sup>a

a</sup> Institute of Informatics Problems, Federal Research Center “Computer Sciences and Control” of the Russian Academy of Sciences, 44-2 Vavilov Str., Moscow 119333, Russian Federation
^b Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya Str., Moscow 117198, Russian Federation

Abstract: The paper considers a queuing system with limited resources, random requirements, and signals. Each customer occupies a server and a random amount of resources for the whole service duration. Besides, a Poisson flow of signals arrives to the queue. Signal arrival triggers the resource reallocation process. The model can describe functioning of a wireless network taking into account user movement during a session. Two cases are considered: independent movement of users, when resources are reallocated independently for each session, and joint movement, when all resources are reallocated at once.

Keywords: queuing system; random requirement; signals; limited resources; wireless network; LTE-advanced.

Received: 29.06.2017

DOI: 10.14357/19922264170311

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