Traffic performance and mobility modeling of cellular communications with mixed platforms and highly variable mobilities

In modeling teletraffic performance of mobile cellular networks some characteristic mobilities are assumed to be known. It is useful if these assumptions impose few restrictions and lead to analytically tractable models. We present a new probability density function where the coefficient of variation can be larger than one but which nevertheless lends itself to analytical modeling using memoryless properties and multi-dimensional birth-death processes. This extends the previous framework to a broader class of mobilities. The approach allows computation of major teletraffic performance characteristics for cellular communications in which mobility issues are important. Multiple platform types and cut-off priority for handoffs are considered. Computational issues are discussed and some theoretical performance measures are obtained to demonstrate the method and compare with previous work.