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THE CONSTUCTION AND ANALYSIS OF A MODEL WITH DYNAMIC DISTRIBUTION
OF THE CHANNEL RESOURCE FOR MAINTENANCE OF MULTISERICE TRAFFIC IN IMS/LTE NETWORK
Sergey N. Stepanov, Moscow Technical University of Communications and Informatics, Moscow, Russia, stpnvsrg@gmail.com
Alexander P. Vasiliev, Moscow Technical University of Communications and Informatics, Moscow, Russia, apvasil@yandex.ru
This work was supported by the Russian Foundation for Basic Research, project no. 16-29-09497ofi-m.
Abstract
The model of joint servicing of multiservice traffic in the IMS / LTE network is constructed. Flow of requests for real time servicing is described by Poisson model. The requests for data transmission are coming by groups according to the Poisson model. Requests from the group occupy free resource units or free waiting positions if all resource units are occupied. The excess of the group is lost when all resource units or waiting positions are occupied. The number of requests in the group for file transmission is varying from one to the sum of total number of resource units and total number of waiting positions and defined by the some probability. The sum of these probabilities is equal to one. The volume of the file has exponential distribution with mean value represented in bits. Real time traffic has advantage in taking and using the access line transmission resources. It manifests itself in decreasing the speed of data transmission to some minimum value equals to one resource unit. The number of resource units used for servicing of one request for data transmission depends on the total number of requests and distributed in accordance with discipline Processor Sharing. When system gets free resource units after finishing of servicing of some requests the speed of data transmission is increasing. The time of servicing of requests for real time traffic transmission has exponential distribution and doesn’t depend on the model state. The time of servicing of requests for data transmission also has exponential distribution and its parameter depends on the number of free resource units. In framework of the constructed model the definitions of main performance measures are formulated through values of probabilities of model’s stationary states. The algorithm of estimation of introduced performance measures based on the solving the system of state equations is constructed. The model can be used for estimation of the necessary minimum channel resource, to assess the quality of service delivery.
Keywords: multiservice models, LTE / IMS, dynamic resource allocation, group incoming requests, the system of state equations.
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