This paper proposes an analytically tractable model to predict the performance of cellular communication nonhomogeneous
traffic originated from finite population in cellular radio system. In many locations in cellular radio network, there is overlapping coverage, usually by nearby base stations. This coverage can be shared by mobile users of more than one base station (BS) to improve the teletraffic performance characteristics. We study directed retry assignment to access the neighbouring BS in case it cannot be served by the BS in which it is located. Various system performace measures viz. blocking probabilities for different traffics, overall blocking probability and offered carried load are determined. Analytical results are compared with simulations to verify the validity of the proposed algorithm. It is shown that by increasing overlapping coverage area, a substantial improvement can be achieved.