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

In modeling teletraffic performance of mobile cellular networks, previous work has made use of the concept of dwell time-a random variable that describes the amount of time a platform remains in a cell, sector; or microcell. The dwell time was characterized as a negative exponential variate or the sum of negative exponential variates. With a suitable state describing, this allows vs rise of the memoryless property of negative exponential variates with the result that the problem of computing traffic performance character issues can be cast ill an underlying framework based on multidimensional birth-death processes, Many alternative system configurations and issues can be investigated using this approach. In small cell (microcellular) systems, however, cell sizes tend to be much less regular in shape and size, and differences in paths traversed by mobiles have a large impact on dwell-time realizations, Succinctly, some mobile platform classes have mobility characteristics that are highly variable, in that dwell-time standard deviation is greater than the mean. The previous models, in which dwell-time is a negative exponential or sum of exponential variates, may not be adequate in such cases because they can only accommodate dwell-time variates for which the standard deviation does riot exceed rite mean. We seek to extend the analytical framework so that highly, variable mobilities can be consider-ed while insights, tools, approaches, and formulations that are facilitated by the framework; can be exploited The approach allows computation of major teletraffic performance characteristics for cellular communications in which mobility issues nle important. hi this paper we consider multiple platform types as well as cutoff priority for handoffs. Additional issues can be considered using this same approach. Computational issues are discussed, and some theoretical performance characteristics ni-e obtained to demonstrate the method and compare with previous work.