General ripple mobility model of speed-time pairing

The research works on the Mobile Ad Hoc Networks (MANET) have attracted wide attentions over the past few years. In order to evaluate and verify the underlying protocols or applications, researchers run simulations to generate results. By controlling different simulation parameters, we can run our programs in diverse simulation scenarios. Mobility model of mobile nodes in MANET plays an important role in simulations but its importance is often ignored. Random Waypoint (RWP) is one of the most deployed mobility models in papers. RWP has the properties that are understandable and quick to implement. Until recently, several defects in RWP is unknown. One is decaying average speed and another is border effect. Besides the problems in RWP, there is still a missing property in many mobility models. Diverse Average Speed (DAS) is a more realistic requirement for mobility models. Most mobility models only can generate one average speed scenario with the same speed range. It is reasonable to provide different average speed within the same speed range. We propose General Ripple Mobility Model (GRMM) of SpeedTime pairing to provide a similar mobility model to RWP without the defects of RWP. GRMM also provides DAS to generate different mobility scenarios. The simulation results show that GRMM of Speed-Time pairing can generate the mobility pattern of uniform spatial distribution and diverse average speed.