Abstract: We model wireless local area network channel utilization over a finite interval through a finite time-horizon Markov (FTHM) model. By accurately capturing time-varying utilization, the FTHM model allows for generally distributed transmission-opportunity (TXOP) duration, which most existing models do not account for. An absorbing state is introduced to limit the lifetime of the counting process, resulting in a non-ergodic Markov chain that is solved via transient analysis. The model predictions for time-varying utilization are validated by simulation with errors of no more than 0.1% after eight beacon intervals. Moreover, we show that the FTHM model prediction error is below 4% for Poisson distributed and uniformly distributed TXOP durations.

Key words: Wireless local area networks (WLANs), Markov, IEEE 802.11, Transient analysis

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