Gauss-Markov Based Fluid Model and Location Management for PCS Systems

The fluid-flow model is suitable for vehicle traffic on highways but not for pedestrian movements with frequent “stop-and-go” behavior. Considering the change of a mobile’s velocity within a short time is limited due to physical restrictions, therefore a mobile user’s future velocity is likely to be correlated with its past and current velocity. Since Gauss–Markov model captures the essence of the correlation of a mobile’s velocity in time, we propose a Gauss–Markov process based fluid model that it is suitable for both vehicle traffic on highways and pedestrian in street, and presents the total cost of location management for the Gauss–Markov process based fluid model. The performance evaluation and comparison of the Gauss–Markov process based fluid model location update scheme and existing fluid model based location update scheme are studied.