Stationary representation of queues. II
- 1 September 1986
- journal article
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 18 (3) , 849-859
- https://doi.org/10.2307/1427190
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 3 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
- M/G/1 queueing system with "fagging'' service channelApplicationes Mathematicae, 1972