Stationary solution to the fluid queue fed by an M/M/1 queue
2002 ◽
Vol 39
(2)
◽
pp. 359-369
◽
Keyword(s):
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.
2002 ◽
Vol 39
(02)
◽
pp. 359-369
◽
2020 ◽
Vol 57
(4)
◽
pp. 552-565
Keyword(s):
2004 ◽
Vol 41
(3)
◽
pp. 746-757
◽
2006 ◽
Vol 21
(1)
◽
pp. 67-76
◽
Keyword(s):