Abstract: The effect of mobility on the critical transmitting range in wireless Ad Hoc networks is discussed. A new parameter—the pause probability of the random waypoint mobility model (RWP) which is the deterministic parameter of the effect of mobility on the critical transmitting and reflects the stationary trend of the network is defined. And the function of the relationship of the pause probability to the minimum velocity, the maximum velocity and the pause time of RWP is derived. Simulation results show that mobility affects the critical transmitting range by pause probability. If pause probability is smaller than 0. 5, the critical transmitting range of mobile networks is 10% larger than that of stationary networks, or it equals that of a stationary one approximately.

Key words: wireless Ad Hoc networks, connectivity, random waypoint mobility, critical transmitting range