Stationary representation of queues. II
- 1 March 1986
- journal article
- research article
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 18 (03) , 849-859
- https://doi.org/10.1017/s0001867800016098
Abstract
The paper is a continuation of [7]. One of the main results is as follows: if the sequence ( w, v, u ) is asymptotically stationary in some sense then ( l , w, v, u ) is asymptotically stationary in the same sense. The other main result deals with an asymptotic behaviour of the vector of the queue size and the waiting time in the heavy-traffic situation. This result resembles a formula of the Little type.Keywords
This publication has 2 references indexed in Scilit:
- Stationary representation of queues. IAdvances in Applied Probability, 1986
- An invariance principle for queues in heavy trafficMathematische Operationsforschung und Statistik. Series Optimization, 1977