Linking Generation Rate Based on Gauss-Markov Mobility Model for Mobile Ad Hoc Networks

The link generation rate reflects the changing rate of neighborhoods of mobile nodes in mobile ad hoc networks. The generation rate is an important index of a network connection. Cho and Hayes discussed the link generation rate for constant velocity mobility model, and Prince and Stephen presented the link generation rate at different velocities bounded in [a, b] with random direction mobility model. It is a challenge to deal with the linking generation rate for general mobility model (e.g. Gauss-Markov mobility model). In this paper we deduce the linking generation rate for discrete Gauss-Markov mobility model and generalized discrete Gauss-Markov mobility model. The Link stability is discussed in the end.