Title :
Dominating tails in a tandem of queues with long range dependent arrival and service processes
Author :
Agrawal, R. ; Baccelli, F.
Author_Institution :
Motorola, Arlington Heiths, IL, USA
Abstract :
We consider a tandem of queues fed by a superposition of on-off sources. The service process at each of the queues in the tandem are also independent on-off fluid processes. The off duration in the service process may be due to a server breakdown or due to the unavailability of the server because of the presence of higher priority cross-traffic. We obtain sufficient conditions for the tail of the stationary end-to-end backlog distribution to be dominated by one of the service processes or by one of the source processes
Keywords :
queueing theory; telecommunication services; telecommunication traffic; arrival process; cross-traffic; dominating tail; long range dependence; on-off fluid model; queue tandem; server; service process; stationary end-to-end backlog distribution; telecommunication network traffic; Electric breakdown; Probability distribution; Queueing analysis; Random variables; Stability; Sufficient conditions; Tail; Telecommunication traffic; Traffic control;
Conference_Titel :
Circuits and Systems, 2000. Proceedings. ISCAS 2000 Geneva. The 2000 IEEE International Symposium on
Conference_Location :
Geneva
Print_ISBN :
0-7803-5482-6
DOI :
10.1109/ISCAS.2000.858765
