Title :
A Novel Analytical Model for Service Delay in IEEE 802.11 Networks
Author :
Tadayon, Navid ; Askari, Elaheh ; Aïssa, Sonia ; Khabazian, Mehdi
Author_Institution :
Nat. Inst. of Sci. Res.-Energy, Univ. of Quebec, Montreal, QC, Canada
Abstract :
In this paper, we present a novel analytical model for the service delay in IEEE 802.11 networks. This model is capable of closely tracking service delay´s behavior in real wireless local area networks. We find a compact closed-form expression for the probability-generating function (PGF) of service delay using which all higher-order moments are achievable. We begin with finding the service-delay PGF; then we determine the probability density (mass) function of the delay metric by taking the inverse z-transform using numerical methods. At last, by comparing the first two statistical moments of this PGF with the mean delay and standard deviation from simulation results, the accuracy of the proposed analytical model is proved.
Keywords :
delays; inverse transforms; numerical analysis; probability; telecommunication services; wireless LAN; IEEE 802.11 network; PGF; analytical model; compact closed-form expression; higher-order moment; inverse z-transform; mean service delay; numerical method; probability density function; probability-generating function; statistical moment; wireless local area network; Analytical models; Delay; IEEE 802.11 Standards; Multiaccess communication; Probability density function; Throughput; Carrier sense multiple access with collision avoidance (CSMA/CA); IEEE 802.11; distributed coordination function (DCF); service delay;
Journal_Title :
Systems Journal, IEEE
DOI :
10.1109/JSYST.2012.2185350