Integration of streaming services and TCP data transmission in the Internet

摘要

We study in this paper the integration of elastic and streaming traffic on asame link in an IP network. We are specifically interested in the computationof the mean bit rate obtained by a data transfer. For this purpose, we considerthat the bit rate offered by streaming traffic is low, of the order ofmagnitude of a small parameter \eps \ll 1 and related to an auxiliarystationary Markovian process (X(t)). Under the assumption that data transfersare exponentially distributed, arrive according to a Poisson process, and sharethe available bandwidth according to the ideal processor sharing discipline, wederive the mean bit rate of a data transfer as a power series expansion in\eps. Since the system can be described by means of an M/M/1 queue with atime-varying server rate, which depends upon the parameter \eps and process(X(t)), the key issue is to compute an expansion of the area swept under theoccupation process of this queue in a busy period. We obtain closed formulasfor the power series expansion in \eps of the mean bit rate, which allow us toverify the validity of the so-called reduced service rate at the first order.The second order term yields more insight into the negative impact of thevariability of streaming flows.