Modeling variable user mobility with stochastic correlation concept

Analyzing stochastic behavior of user mobility is a basic study for traffic performance analysis in land-mobile cellular communications. Due to the heavy burden in simulation considering significant mobility parameters, many analytical models have been proposed as alternatives. However, analytical approach to figure out the stochastic behavior is so difficult that realistic features can hardly be reflected without simplification. As expected, the effect of variable user mobility (VUM) on traffic performance may not be reasonably analyzed with such simplified models, especially in a case of micro-cellular systems where traffic performance, such as handover rate, is more sensitively affected by user mobility. Thus we are motivated to investigate an improved alternative. This paper has focused on developing a VUM model. Considering VUM in mobility modeling, we figure out its effect on probability distributions of cell dwell time which is basic for traffic performance analysis in land-mobile cellular communications. A new concept on variable characteristics of user mobility called stochastic correlation is introduced for the analysis. Probability distribution of path length during a call is also studied using our model of VUM. We believe that our model with stochastic correlation could be applied to many performance modeling problems in land-mobile cellular systems with mobility sensitive traffic performance. (C) 2001 Elsevier Science B.V. All rights reserved.