Rates of convergence for queues in heavy traffic. I
- 1 April 1972
- journal article
- research article
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 4 (02) , 357-381
- https://doi.org/10.1017/s0001867800038404
Abstract
Estimates are given for the rates of convergence in functional central limit theorems for quantities of interest in theGI/G/1 queue and a general multiple channel system. The traffic intensity is fixed ≧ 1. The method employed involves expressing the underlying stochastic processes in terms of Brownian motion using the Skorokhod representation theorem.Keywords
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