Heavy-traffic fluid limits for periodic infinite-server queues
type: Item
instance of: scholarly article
title: Heavy-traffic fluid limits for periodic infinite-server queues
zbMATH Open document ID: 1348.60135
author: Ward Whitt
published in: Queueing Systems
publication date: 2016-10-31T00:00:00Z
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 60F17
Mathematics Subject Classification ID: 60J25
Mathematics Subject Classification ID: 62M09
Mathematics Subject Classification ID: 90B22
zbMATH DE Number: 6645552
zbMATH Keywords: stochastic grey-box queueing models
zbMATH Keywords: periodic queues
zbMATH Keywords: periodic arrival rates
zbMATH Keywords: periodic steady state
zbMATH Keywords: birth-and-death processes
zbMATH Keywords: fitting birth-and-death processes to data
zbMATH Keywords: many-server heavy-traffic limits
MaRDI profile type: Publication
full work available at URL: s11134-016-9494-x
OpenAlex ID: W2476844045
Wikidata QID: Q57404046
cites work: Q3466709
cites work: Q3292891
cites work: On Occupation Times for Markoff Processes
cites work: An elementary proof of the local central limit theorem
cites work: Stochastic grey-box modeling of queueing systems: fitting birth-and-death processes to data
cites work: Using a birth‐and‐death process to estimate the steady‐state distribution of a periodic queue
cites work: Mt/G/∞ Queues with Sinusoidal Arrival Rates
cites work: The Physics of the Mt/G/∞ Queue
cites work: Sample-path analysis of queueing systems
cites work: Limit theorems for cumulative processes
cites work: Q5132711
cites work: Server Staffing to Meet Time-Varying Demand
cites work: Maximum likelihood estimation in the birth-and-death process
cites work: Statistical Analysis with Little's Law
cites work: Q5168848
cites work: The \(G_{t}/GI/s_{t}+GI\) many-server fluid queue
cites work: A many-server fluid limit for the \(G_t/GI/s_t +GI\) queueing model experiencing periods of overloading
cites work: STABILIZING PERFORMANCE IN NETWORKS OF QUEUES WITH TIME-VARYING ARRIVAL RATES
cites work: Networks of infinite-server queues with nonstationary Poisson input
cites work: The local limit theorem: a historical perspective
cites work: Two-parameter heavy-traffic limits for infinite-server queues
cites work: Engineering Solution of a Basic Call-Center Model
cites work: Fitting birth-and-death queueing models to data
cites work: The steady-state distribution of the $M_t / M / \infty$ queue with a sinusoidal arrival rate function
cites work: Problems of Statistical Inference for Birth and Death Queuing Models
DBLP publication ID: journals/questa/Whitt16
DOI: 10.1007/S11134-016-9494-X
description: scientific article; zbMATH DE number 6645552