Automatic Control and Computer Sciences

, Volume 52, Issue 5, pp 345–353 | Cite as

Performance Analysis of M2M Traffic in LTE Network Using Queuing Systems with Random Resource Requirements

  • E. S. SopinEmail author
  • K. A. Ageev
  • E. V. Markova
  • O. G. Vikhrova
  • Yu. V. Gaidamaka


We analyze a multiserver queuing system, in which customers require a server and a certain amount of limited resources for the duration of their service. For the case of discrete resources, we develop a recurrence algorithm to evaluate the model’s stationary probability distribution and its various stationary characteristics, such as the blocking probability and the average amount of occupied resources. The algorithm is applied to analysis of M2M traffic characteristics in a LTE network cell. We derive the cumulative distribution function of radio resource requirements of M2M devices and propose a sampling approach in order to apply the recurrence algorithm to the case of continuous resources.


Queueing system limited resources random requirements recurrence algorithm normalization constant CDF approximation M2M LTE 



The publication was supported by the Ministry of Education and Science of the Russian Federation (project no. 2.3397.2017).


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Copyright information

© Allerton Press, Inc. 2018

Authors and Affiliations

  • E. S. Sopin
    • 1
    Email author
  • K. A. Ageev
    • 1
  • E. V. Markova
    • 1
  • O. G. Vikhrova
    • 1
  • Yu. V. Gaidamaka
    • 1
  1. 1.Applied Probability and Informatics Department, Peoples’ Friendship University of Russia (RUDN University), MoscowRussia

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