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Realistic mobility models are fundamental to evaluate the performance ofprotocols in mobile ad hoc networks. Unfortunately, there are no mobilitymodels that capture the non-homogeneous behaviors in both space and timecommonly found in reality, while at the same time being easy to use andanalyze. Motivated by this, we propose a time-variant community mobility model,referred to as the TVC model, which realistically captures spatial and temporalcorrelations. We devise the communities that lead to skewed location visitingpreferences, and time periods that allow us to model time dependent behaviorsand periodic re-appearances of nodes at specific locations.  To demonstrate the power and flexibility of the TVC model, we use it togenerate synthetic traces that match the characteristics of a number ofqualitatively different mobility traces, including wireless LAN traces,vehicular mobility traces, and human encounter traces. More importantly, weshow that, despite the high level of realism achieved, our TVC model is stilltheoretically tractable. To establish this, we derive a number of importantquantities related to protocol performance, such as the average node degree,the hitting time, and the meeting time, and provide examples of how to utilizethis theory to guide design decisions in routing protocols.

Modeling Spatial and Temporal Dependencies of User Mobility in Wireless Mobile Networks