Analytical methods to calculate the performance of a cellular mobile radio communication system with hybrid channel assignment

Two approximate techniques are presented to evaluate the performance of large-scale mobile radio systems using a hybrid channel assignment scheme and a cellular structure, The two approximate analyses give the steady-state probability distributions of the system which are used to obtain expressions for the blocking probabilities. In the first method, the blocking probability is obtained by finding the interarrival 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 cochannel interference cells. The second method is proposed to solve the blocking probability of the system by regarding each call as a GI/M/m (m) model. Analytical results are compared with simulation results, and good agreement is observed for both channel assignments (hybrid and fixed). The methods presented are applicable to the design of hybrid channel assignment schemes and dynamic channel assignment schemes