Light traffic equivalence in single-server queues
type: Item
instance of: scholarly article
title: Light traffic equivalence in single-server queues
zbMATH Open document ID: 0762.60085
published in: The Annals of Applied Probability
publication date: 1993-01-17T00:00:00Z
review text: The behaviour of the steady-state waiting time of the \(GI/G/1\) queue in light traffic is studied, resulting in rather deep insights. The analysis is based upon a light traffic limit theorem for random walks in a triangular array setting, which is proved at the outset. The special case of phase-type distributions is shown to allow more explicit and computationally tractable results.
reviewed by: R. Schaßberger
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 90B22
zbMATH DE Number: 97549
zbMATH Keywords: waiting time
zbMATH Keywords: steady-state waiting time
zbMATH Keywords: light traffic limit
zbMATH Keywords: random walks
zbMATH Keywords: phase-type distributions
author: Søren Asmussen
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aoap/1177005649
OpenAlex ID: W2049208502
DOI: 10.1214/AOAP/1177005649
description: scientific article; zbMATH DE number 97549