Title :
New insights from a fixed point analysis of single cell IEEE 802.11 WLANs
Author :
Kumar, Anurag ; Altman, Eitan ; Miorandi, Daniele ; Goyal, Munish
Author_Institution :
Dept. of Electr. Commun. Eng., Indian Inst. of Sci., Bangalore, India
Abstract :
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 simulations, and also with an exact Markov model of the back-off process. It is shown how the saturated network analysis can be used to obtain TCP transfer throughputs in some cases.
Keywords :
Markov processes; cellular radio; transport protocols; wireless LAN; Markov model; TCP transfer throughputs; aggregate throughput; back-off process; saturated network analysis; single cell IEEE 802.11 WLAN; throughput formulas; Aggregates; Analytical models; Equations; Media Access Protocol; Stochastic processes; Throughput; Transmitters; Wireless LAN; Wireless application protocol; Wireless networks;
Conference_Titel :
INFOCOM 2005. 24th Annual Joint Conference of the IEEE Computer and Communications Societies. Proceedings IEEE
Print_ISBN :
0-7803-8968-9
DOI :
10.1109/INFCOM.2005.1498438
