COMPARISON OF THE LOSS PROBABILITY OF THE GI^X/GI/1/k QUEUES WITH A COMMON TRAFFIC INTENSITY

Abstract

The loss probabilities of the Gl x /GI/I/A: queues, which means the batch arrival GI/CI/I/k queues, are compared when the queues have a common waiting capacity k, a common batch size distributions and a common traffic intensity. We prove that, if the interarrival time and service time distributions are NBUE (NWUE), then the loss probabilities are not greater (less) than those of the corresponding M X /M/I/k queues. The stron~:er results are obtained for the M /G/I/k queues with single arrivals.

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