Comparison of the loss probability of the GIX/GI/1/k queues with a common traffic intensity

Comparison of the loss probability of the GIX/GI/1/k queues with a common traffic intensity

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Article ID: iaor19901132
Country: Japan
Volume: 32
Issue: 4
Start Page Number: 505
End Page Number: 516
Publication Date: Dec 1989
Journal: Journal of the Operations Research Society of Japan
Authors:
Keywords: queues: theory, statistics: regression
Abstract:

The loss probabilities of the GIX/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 distribution and a common traffic intensity. The paper proves 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 MX/M/1/k queues. The stronger results are obtained for the M/G/1/k queues with single arrivals.

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