M G/1 RETRIAL QUEUING-SYSTEMS WITH 2 TYPES OF CALLS AND FINITE-CAPACITY/

We consider an M/G/1 priority retrial queueing system with two types o f calls which models a telephone switching system and a cellular mobil e communication system. In the case that arriving calls are blocked du e to the server being busy, type I calls are queued in a priority queu e of finite capacity K whereas type II calls enter the retrial group i n order to try service again after a random amount of time. In this pa per we find the joint generating function of the numbers of calls in t he priority queue and the retrial group in closed form. When lambda(1) = 0, it is shown that our results are consistent with the known resul ts for a classical retrial queueing system.