Abstract: The impact of coverage radius and movement speed on the linkage and topology is investigated in wireless mobile communication networks. The 2D random walk process is applied to build the random mobility model based on the epoch. The measurement of linkage availability at different epochs is achieved with mathematical derivation. The integrated mobility characteristic of all nodes in the coverage is further studied, resulting in the mathematical expression of the measurement function of topology availability. Numerical simulation shows that the proposed availability measurements are able to represent the effect of node mobility on the linkage and topology.

Key words: wireless mobile communication networks, random movement, linkage availability, topology availability