Link dynamic and mobility measure of a manet with the brownian mobility model

To characterize the behavior of a mobile ad-hoc network (MANET), the Brownian mobility model is studied, where the random coordinators of mobile nodes are modeled by the Brownian motion. Based on the Brownian mobility model, the average relative speed of mobile nodes in a MANET cluster and the expected value as well as the variance of link lifetime are derived for node pairs. The expected link lifetime of node pairs is used to evaluate the average link lifetime of the MANET, and the mobility measure of the MANET is defined with the relative speed. Numerical and simulation results are presented for different cases.

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