Performance evaluation of product form cellular mobile communications networks

This paper proposes and analyzes a queueing network model of a cellular mobile communications network including the multiway connection. This model is formulated as a queueing network with multiple call classes and state-dependent transition rates. As the performance measure a handover blocking probability is evaluated based on the product form equilibrium distribution and the constraint matrix whose elements consist of the mean arrival and service rates for individual cells. As a numerical example, an eight-cell cellular system is considered and blocking probabilities for a two-way handover between neighbouring cells are calculated for several network loads and constraint matrices. Since results represent the characteristics depending on individual cells or neighbouring cells, it can be emphasized that this model is useful for the control of QoS taking account of the spatial traffic.