802.11 wireless network extended service set model

With the limited radio spectrum allocated to wireless communications and increasing population of wireless users overloaded conditions might become a major problem. Admission control can be used to fully utilize available bandwidth and provide desirable quality of service. A mathematical model of the wireless network is required to develop an admission control scheme. In this paper we consider simple extended service set (ESS) model as a continuous time discrete states nonhomogeneous quasi-birth-and-death Markov process. Matrix analytic methods are used to efficiently obtain the stationary distribution of the process. Various characteristics of the modelled extended service set are obtained based on stationary distribution.