Contention delay distribution in event driven wireless sensor networks
Sami Ahmed Aldalahmeh, Saleh O. Al-Jazzar, Yousef M. Jaradat, Mohammad Z. Masoud, Zoubir Hamid, Ismael Jamioud · 2017
In this paper we derive the distribution of the total contention delay in wireless sensor networks (WSNs) tasked with detection of an intruder in a specific sensing field. We use a stochastic geometry framework to model the WSN, in which the sensor nodes send their local decisions and data to the fusion center over a shared communication channel employing a contention based MAC protocol. We first derive the mean and variance of the contention delay. Then we approximate the distribution with a negative binomial via moment matching. This statistical characterization is then used to find the optimum medium access probability to minimize both the mean and the variance of the total delay. Simulation results almost exactly follow our theoretical results.