Accurate method for analysis of a packet-speech multiplexer with limited delay

Abstract

In a packet-speech multiplexer with limited delay, packets arriving once the queue has reached a certain limit are either discarded, or if embedded encoding has been used, shortened. The uniform arrival and service model, which assumes that the information flow in and out of the multiplexer is uniform rather than in discrete packets, is used to analyze such a multiplexer. The equilibrium queue distribution is described by a set of differential equations that can be solved, together with a set of boundary equations describing the queue behavior at its limits, to yield equilibrium distributions of delay and packet loss. Comparisons to simulations using data collected from real conversations show that the packet loss can be determined accurately if the delay limit is less than 400 ms and more than half the packet length.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>