NDLI: The transient behaviour of a single server queue with batch arrivals

Content Provider	Scilit
Author	Brockwell, P. J.
Copyright Year	1963
Description	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.
Related Links	https://www.cambridge.org/core/services/aop-cambridge-core/content/view/9FF8410ACAC2E86923BC89B995CCEB0E/S1446788700027981a.pdf/div-class-title-the-transient-behaviour-of-a-single-server-queue-with-batch-arrivals-div.pdf
Ending Page	248
Page Count	8
Starting Page	241
ISSN	00049735
DOI	10.1017/s1446788700027981
Journal	Journal of the Australian Mathematical Society
Issue Number	2
Volume Number	3
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	1963-05-01
Access Restriction	Open
Subject Keyword	Journal of the Australian Mathematical Society Obstetrics and Gynecology Batch Arrivals
Content Type	Text
Resource Type	Article

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The transient behaviour of a single server queue with batch arrivals