A note on varying the number of states in the arrival process of MR/GI/1 queue

A note on varying the number of states in the arrival process of MR/GI/1 queue

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Article ID: iaor19981974
Country: United Kingdom
Volume: 24
Issue: 12
Start Page Number: 1113
End Page Number: 1118
Publication Date: Dec 1997
Journal: Computers and Operations Research
Authors:
Keywords: M/G/1 queues
Abstract:

A single server queue with an autocorrelated arrival process is considered. A specific way of changing the number of states in the arrival process is introduced which enables us to extract the pure effect of the number of different types of arrivals on the queueing performance measures. We see that increasing the number of arrival types makes the arrival stream more correlated and causes longer waiting times in the system. This impact is much stronger when the successive arrival types tend to be the same under heavy traffic.

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