On the correlation of sojourn times in open networks of exponential multiserver queues

Citation
H. Daduna et R. Szekli, On the correlation of sojourn times in open networks of exponential multiserver queues, QUEUEING S, 34(1-4), 2000, pp. 169-181
Citations number
29
Categorie Soggetti
Engineering Mathematics
Journal title
QUEUEING SYSTEMS
ISSN journal
02570130 → ACNP
Volume
34
Issue
1-4
Year of publication
2000
Pages
169 - 181
Database
ISI
SICI code
0257-0130(2000)34:1-4<169:OTCOST>2.0.ZU;2-1
Abstract
We consider the joint distribution of successive sojourn times of customers traversing a path in Jackson network. It is shown in a general setting tha t sojourn times exhibit positive dependence. This especially applies to pat hs which admit overtaking due to the network topology as well as due to the internal node structure.