A LIFO queue in heavy traffic
type: Item
instance of: scholarly article
title: A LIFO queue in heavy traffic
zbMATH Open document ID: 1015.60079
author: Vlada Limic
published in: The Annals of Applied Probability
publication date: 2003-05-06T00:00:00Z
review text: The author analyzes the heavy-traffic behaviour of an M/G/1 last-in-first-out preemptive resume queue using measure-valued processes developed by \textit{J.-F. Le Gall} and \textit{Y. Le Jan} [Ann. Probab. 26, No.~4, 1407-1432 (1998; Zbl 0945.60090)]. This approach captures all the relevant information about evolution of the queue. The heavy-traffic diffusion approximation for the residual services measure and queue-length process are derived.
reviewed by: P. R. Parthasarathy
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 90B22
Mathematics Subject Classification ID: 60J80
zbMATH DE Number: 1906252
zbMATH Keywords: LIFO queue
zbMATH Keywords: heavy traffic
zbMATH Keywords: measure-valued process
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1906252