NDLI: Stationary solution to the fluid queue fed by an M/M/1 queue

Content Provider	Scilit
Author	Barbot, N. Sericola, B.
Copyright Year	2002
Description	We consider an infinite-capacity buffer receiving fluid at a rate depending on the state of an M/M/1 queue. We obtain a new analytic expression for the joint stationary distribution of the buffer level and the state of the M/M/1 queue. This expression is obtained by the use of generating functions which are explicitly inverted. The case of a finite capacity fluid queue is also considered.
Related Links	https://hal.inria.fr/inria-00072306/file/RR-4281.pdf https://www.cambridge.org/core/services/aop-cambridge-core/content/view/33C775C9DF55BE087CAC7259B26B2B5F/S0021900200022567a.pdf/div-class-title-stationary-solution-to-the-fluid-queue-fed-by-an-m-m-1-queue-div.pdf
Ending Page	369
Page Count	11
Starting Page	359
ISSN	00219002
e-ISSN	14756072
DOI	10.1239/jap/1025131431
Journal	Journal of applied probability
Issue Number	2
Volume Number	39
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	2002-06-01
Access Restriction	Open
Subject Keyword	Journal of applied probability
Content Type	Text
Resource Type	Article
Subject	Statistics and Probability Statistics, Probability and Uncertainty

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