Stationary speed distribution of random waypoint model

random direction model

and random walk model were analyzed by Palm calculus.The hypostasis of speed decay was proved to be the correlation between speed and dura-tion within any movement period.Stationary node distribution of random waypoint model and random direction model were discussed

respectively

by Palm calculus and geometric probability.It turned out that nodes in these two models tended to be non-uniform.Last

based on the central limit theorem

trace endpoints of random walk model in boundless regions was proved to be governed by normal distribution.As a result

random walk model based on time combines the strengths of entity mobility models on the performance of stationary speed distribution and node distribution

so it be-comes the most reasonable one.