A conservation property for general GI/G/1 queues with an application to tandem queues
1979 ◽
Vol 11
(03)
◽
pp. 660-672
◽
Keyword(s):
We show that, if the input process of a generalGI/G/1 queue is a positive recurrent Markov renewal process then the output process, too, is a positive recurrent Markov renewal process (the conservation property). As an application we consider a general tandem queue and prove a total variation limit theorem for the associated waiting and service times.
Keyword(s):
1988 ◽
Vol 25
(02)
◽
pp. 391-403
◽
Keyword(s):
2010 ◽
Vol 42
(1)
◽
pp. 210-225
◽
Keyword(s):
Keyword(s):
2010 ◽
Vol 42
(01)
◽
pp. 210-225
◽
Keyword(s):
Keyword(s):
1981 ◽
Vol 13
(01)
◽
pp. 221-230
◽
Keyword(s):
Keyword(s):