Abstract

This chapter discusses the effect of mobility on link and topology of wireless networks. A common approach for analysis of the effect of mobility on the link lifetime (LL) and residual link lifetime (RLL) of wireless networks is geometrical modeling. Using the geometric model, probability density function of LL or RLL can be obtained for simple synthetic mobility models. For analysis of the effect of mobility on topology of wireless networks, a phase transition phenomenon was observed for different scenarios for two well-known topology control protocols, homogeneous topology control and k-Neigh topology control. The authors observed that disconnection occurs suddenly in the networks rather than gradually. Another observation was that the degree of the effective topology was almost fixed around 4.5 at the disconnection time. Using these facts, one can evaluate the lifetime of the topologies which could be directly used for optimizing the “hello” interval in topology control protocols.

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