GI/G/1/8 batch arrival queueing system with a single exponential vacation

GI/G/1/8 batch arrival queueing system with a single exponential vacation

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Article ID: iaor200962702
Country: Germany
Volume: 69
Issue: 1
Start Page Number: 81
End Page Number: 97
Publication Date: Mar 2009
Journal: Mathematical Methods of Operations Research
Authors:
Keywords: batch queues, GI/G/1 queues, vacation models
Abstract:

In the article the queueing system of GI/G/1 type with batch arrival of customers and a single exponentially distributed vacation period at the end of every busy period is considered. Basic characteristics of transient state of the system are investigated: the first busy period, the first vacation period and the number of customers served during the first busy period. New results for the Laplace transform of the joint distribution of these three variables are obtained in dependence on the initial conditions of the system.

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