Queueing-blocking system with two arrival streams and guardchannels

An approach to the study of a multichannel cutoff priority system for two Poisson arrival streams with distinct arrival rates and the same potential service time distribution is proposed. This approach makes it possible to obtain the state probabilities in simple closed-form expressions. These expressions provide a straightforward way to derive the distribution of the number of busy servers, the queue length distributions, and, above all, a very simple criterion for the stability of the system. The computations can still be carried out for large systems (e.g. 100 servers). The method can easily be extended from the infinite-queue-length case to a system with finite capacity. As applied to cellular radio, the method offers a means of increasing the total carried traffic while improving the perceived service quality