Performance analysis of multi-service wireless cellular networks with MMPP call arrival patterns

In this paper, we present a model to analyze the performance of multi-service cellular wireless networks in terms of the new call blocking and the handoff call dropping probabilities when the call arrival rates depend on the time of the day. A Markov modulated Poisson process (MMPP) is used to represent the different rates in each time period. To capture the multiple classes of services (e.g., voice, data, video) we use a multi-dimensional Markov model where each dimension represents the number of users in each class. For each class of users a fixed number of channels (guard channels) are reserved for handoff call. The model can be also used for other types of channel reservation schemes such as fractional guard channel or thinning scheme. A recursive algorithm is applied to obtain the steady state probabilities for the system states which reduces the computational complexity. Simulation results are presented to show the accuracy of the proposed model.