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The transient behaviour of a single server queue with batch arrivals

Published online by Cambridge University Press:  09 April 2009

P. J. Brockwell
P. J. Brockwell
Affiliation:
University of Melbourne.
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Summary

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A queue at which arrivals occur randomly in batches of fixed size r and for which the service times are independent negative exponential variates is considered. Expressions are obtained for the moments of the transient waiting time distribution and the distribution of the number of customers in the system just before the nth batch arrives. The distribution of the number of customers served in a busy period is also determined.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 3 , Issue 2 , May 1963 , pp. 241 - 248
Copyright
Copyright © Australian Mathematical Society 1963

References

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