An invariance relationship for the G/G/1 queue

Citation
Sengupa, Bhaskar, An invariance relationship for the G/G/1 queue, Advances in applied probability , 21(4), 1989, pp. 956-957
ISSN journal
00018678
Volume
21
Issue
4
Year of publication
1989
Pages
956 - 957
Database
ACNP
SICI code
Abstract
In this note, we show that for a stationary FCFS G/G/1 queue, the virtual waiting time and the time spent in the system by the customer in service have the same distribution. We assume that the latter is zero if the queue is empty.