New Insights from a Fixed Point Analysis of Single Cell IEEE 802.11 WLANs
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. The aggregate throughput is bounded by the
reciprocal of the harmonic mean of the transmission rates. In an asymptotic
regime with a large number of nodes, explicit formulas for the collision
probability, the aggregate attempt rate and the aggregate throughput are
provided. The results from the analysis are compared with ns2.
Philippe Nain
Last modified: Tue Mar 15 15:00:20 MET 2005