COMPARISON OF THE LOSS PROBABILITY OF THE GI^X/GI/1/k QUEUES WITH A COMMON TRAFFIC INTENSITY
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概要
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The loss probabilities of the GI^X/GI/1/k queues, which means the batch arrival GI/GI/1/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/1/k queues. The stronger results are obtained for the M/G/1/k queues with single arrivals.
- 社団法人日本オペレーションズ・リサーチ学会の論文