Asymptotic Node Distribution of Random Walk Model for Ad Hoc Networks

Asymptotic node distribution of random walking mobility model is analyzed in two kinds of simulation regions. In boundless regions, the probability density functions of the endpoints after n-step movements are calculated by central limit theorem. When model is implemented in a bounded region, it is proven, by the method of Markov chains and simulation, that the asymptotic node distribution is uniform due to border effect.