Heavy traffic limits for the extreme waiting time in multi-phase queueing systems
type: Item
instance of: scholarly article
title: Heavy traffic limits for the extreme waiting time in multi-phase queueing systems
zbMATH Open document ID: 1411.60047
author: Saulius Minkevičius
author: Edvinas Greičius
published in: Methodology and Computing in Applied Probability
publication date: 2019-04-26T00:00:00Z
Mathematics Subject Classification ID: 60F17
Mathematics Subject Classification ID: 60K10
Mathematics Subject Classification ID: 60K30
Mathematics Subject Classification ID: 68M07
Mathematics Subject Classification ID: 68M20
zbMATH DE Number: 7048054
zbMATH Keywords: queueing systems
zbMATH Keywords: multi-phase queueing system
zbMATH Keywords: heavy traffic
zbMATH Keywords: extreme values
zbMATH Keywords: waiting time of a customer
zbMATH Keywords: cumulative waiting time of a customer
MaRDI profile type: Publication
full work available at URL: s11009-018-9641-4
OpenAlex ID: W2805479342
cites work: Maximum values in queueing processes
cites work: Q5560061
cites work: Extreme and high-level sojourns of the single server queue in heavy traffic
cites work: On the estimation of mixing coefficients for a multiphase service system
cites work: Departures from many queues in series
cites work: Heavy-traffic extreme-value limits for queues
cites work: Q3821359
cites work: Asymptotic variability analysis for a two-stage tandem queue. I: The functional law of the iterated logarithm
cites work: Assembly-like queues
cites work: The diffusion approximation for tandem queues in heavy traffic
cites work: Reflected Brownian motion on an orthant
cites work: Extreme Values in the GI/G/1 Queue
cites work: Weak convergence in queueing theory
cites work: Multiple channel queues in heavy traffic. I
cites work: Multiple channel queues in heavy traffic. II: sequences, networks, and batches
cites work: Q4312120
cites work: Q5808656
cites work: Q5332541
cites work: Q5721605
cites work: Application of the Diffusion Approximation to Queueing Networks I: Equilibrium Queue Distributions
cites work: Q5795295
cites work: Weak convergence in multiphase queues
cites work: Q3357238
cites work: Heavy-traffic extreme value limits for Erlang delay models
cites work: Open Queueing Networks in Heavy Traffic
cites work: Maximum Queue Length and Waiting Time Revisited: Multserver G/G/c Queue
cites work: On the law of the iterated logarithm in open queueing networks
cites work: Heavy Traffic Limit Theorems for Queues: A Survey
cites work: On the maximum workload of a queue fed by fractional Brownian motion.
DOI: 10.1007/S11009-018-9641-4
description: scientific article; zbMATH DE number 7048054