On the independence of sojourn times in tandem queues

Authors
Chen, Thomas M.
Citation
M. Chen, Thomas, On the independence of sojourn times in tandem queues, Advances in applied probability , 21(2), 1989, pp. 488-489
Journal title
Advances in applied probability → ACNP
ISSN journal
00018678
Volume
21
Issue
2
Year of publication
1989
Pages
488 - 489
Database
ACNP
SICI code
Abstract
Reich (1957) proved that the sojourn times in two tandem queues are independent when the first queue is M/M /1 and the second has exponential service times. When service times in the first queue are not exponential, it has been generally expected that the sojourn times are not independent. A proof for the case of deterministic service times in the first queue is offered here.