On the serial correlation for number in system in the stationary GI/M/1 bulk arrival and GI/Em/1 queues

On the serial correlation for number in system in the stationary GI/M/1 bulk arrival and GI/Em/1 queues

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Article ID: iaor19932437
Country: Israel
Volume: 29
Issue: 2
Start Page Number: 404
End Page Number: 417
Publication Date: Jun 1992
Journal: Journal of Applied Probability
Authors: ,
Abstract:

The generating functions for the serial covariances for number in system in the stationary GI/M/1 bulk arrival queue with fixed bulk sizes, and the GI/Em/1 queue, are derived. Expressions for the infinite sum of the serial correlation coefficients are also presented, as well as the first serial correlation coefficient in the case of the bulk arrival queue. Several numerical examples are considered.

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