Performance Analysis of Cellular Mobile Telephone Networks with Hybrid Channel Assignment Scheme

Conclusion

In general, the rigorous solution for the traffic characteristics in a large scale cellular mobile radio communication system using the hybrid channel assignment scheme is not easily obtained, since it depends on the state of co-channel interference cells. We presented in this chapter two approximate methods for analyzing cellular mobile radio communication systems. In the first method, the blocking probability was obtained by finding the inter-arrival time probability distribution function of one composite interrupted Poisson process (IPP) stream consisting of several IPP streams overflowing from the cell of interest and its co-channel interference cells. The second method was proposed to solve the blocking probability of the system by regarding each call as a GI/M/m(m) model. Two analytical results were compared with simulation results and good agreements were observed for both fixed and hybrid channel assignment schemes. In the two approximate methods it can be seen that the complexity of the analysis never depends on the number of cells in the system.

The methods presented in this chapter will be not only useful for the performance prediction and the optimum design of the cellular mobile radio communication system with a HCA scheme, but also applicable to the study of a system with a DCA scheme when the traffic offered to a group of dynamic channels forms a Poisson arrival process.