Discrete Markov chain model for analyzing probability measures of P2P streaming network

Authors:
Aminu Adamu;Yuliya Gaidamaka;Andrey Samuylov
Affiliations:
Peoples' Friendship University of Russia, Telecommunication Systems Department, Moscow, Russia;Peoples' Friendship University of Russia, Telecommunication Systems Department, Moscow, Russia;Peoples' Friendship University of Russia, Telecommunication Systems Department, Moscow, Russia
Venue:
NEW2AN'11/ruSMART'11 Proceedings of the 11th international conference and 4th international conference on Smart spaces and next generation wired/wireless networking
Year:
2011

Citing 3
Cited 0

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Abstract

In this paper, we present a model of the data exchange process between users in P2P live streaming network with buffering mechanism - buffer occupancy model. The model is developed in terms of discrete Markov chain. We study the probability measures of the model - buffer position occupancy probability and probability of playback continuity. The model is very tractable and compacted formulas were obtained. While considering user churn in the model we examine how user departure affects buffer occupancy and playback continuity. For our numerical experiment we develop a simulation tool for the considered model.