We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Large deviations for the total queue size in non-Markovian tandem queues.
- Authors
Buijsrogge, Anne; Boer, Pieter-Tjerk; Rosen, Karol; Scheinhardt, Werner
- Abstract
We consider a d-node tandem queue with arrival process and light-tailed service processes at all queues i.i.d. and independent of each other. We consider three variations of the probability that the number of customers in the system reaches some high level N, namely during a busy cycle, in steady state, and upon arrival of a new customer. We show that their decay rates for large N have the same value and give an expression for this value.
- Subjects
QUEUEING networks; MARKOV processes; PROBABILITY theory; DEVIATION (Statistics); DIRECTION of arrival estimation
- Publication
Queueing Systems, 2017, Vol 85, Issue 3/4, p305
- ISSN
0257-0130
- Publication type
Article
- DOI
10.1007/s11134-016-9512-z