A stochastic model for distributed real time streaming - Evolution of the network structure

TL;DR

This paper develops a stochastic model for P2P live media streaming networks, analyzing the evolution of network structure through out-degree distributions and addressing issues like disconnections.

Contribution

It introduces a novel stochastic framework for modeling P2P streaming networks, including explicit formulas for degree distributions and steady states.

Findings

Derived iterative formulas for out-degree distribution probabilities

Calculated explicit transient distribution expressions

Discussed steady state and disconnection issues

Abstract

This paper is a short summary of the main results in the thesis [1]. Based on the P2P paradigm we construct a stochastic model for a live media streaming content delivery network. Starting from the behavior of the out degree process of each node we analyze the evolution of the resulting random graph. For the out degree process we provide an iterative formula for the distribution probabilities and calculate an explicit expression for the transient distribution. Moreover we discuss the steady state distribution and the problem of local disconnections.