Time-Dependent Behaviour of an Alternating Service Queue

DOI10.1080/15326340701300787zbMath1135.90327arXiv1404.5587OpenAlexW2109384206MaRDI QIDQ5423130

Bert Zwart, Maria Vlasiou

Publication date: 31 October 2007

Published in: Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.5587

zbMATH Keywords

covariance functionwaiting timeBusy periodphase-type distributions\(G/M/1\) queueLindley's recursiongeneralized Wiener-Hopf equation

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

Related Items (6)

Analysis of steady-state and transient delay in discrete-time single-arrival and batch-arrival systems ⋮ Combined Analysis of Transient Delay Characteristics and Delay Autocorrelation Function in theGeo^X/G/1Queue ⋮ A two-station queue with dependent preparation and service times ⋮ A non-increasing Lindley-type equation ⋮ SERVER WAITING TIMES IN INFINITE SUPPLY POLLING SYSTEMS WITH PREPARATION TIMES ⋮ A Lévy input model with additional state-dependent services

Cites Work

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• A non-increasing Lindley-type equation
• Exact solution to a Lindley-type equation on a bounded support
• AN ALTERNATING SERVICE PROBLEM
• Classroom Note:The Inspection Paradox Inequality
• The Serial Correlation Coefficients of Waiting Times in the Stationary GI/M/1 Queue
• Carousel system performance
• A Lindley-type equation arising from a carousel problem
• Applied Probability and Queues
• The serial correlation coefficients of waiting times in a stationary single server queue

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