New Insights from a Fixed Point Analysis of a Single Cell IEEE 802.11 Wireless Network

A. Kumar

Indian Insitute of Science, Bangalore, INDIA


We study a fixed point formalisation of the well known analysis of Bianchi. We provide a significant simplification and generalisation of the analysis. In this more general framework, the fixed point solution and performance measures resulting from it are studied. Uniqueness of the fixed point is established. Simple and general throughput formulas are provided. It is shown that the throughput of any flow will be bounded by the one with the smallest transmission rate. In an asymptotic regime, explicit formulas for the collision probability, the aggregate attempt rate and the aggregate throughput are provided.

[A. Kumar]
[Indian Insitute of Science, Bangalore, INDIA]