Performance analysis of time-dependent queueing systems: survey and classification


Schwarz, Justus Arne ; Selinka, Gregor ; Stolletz, Raik


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DOI: https://doi.org/10.1016/j.omega.2015.10.013
URL: https://ub-madoc.bib.uni-mannheim.de/41004
URN: urn:nbn:de:bsz:180-madoc-410040
Document Type: Article
Year of publication: 2016
The title of a journal, publication series: Omega
Volume: 63
Page range: 170-189
Place of publication: Oxford [u.a.]
Publishing house: Elsevier
ISSN: 0305-0483
Publication language: English
Institution: Business School > ABWL u. Produktion (Stolletz)
Subject: 330 Economics
Keywords (English): Time-dependent ; Non-stationary ; Queueing ; Survey ; Application
Abstract: Many queueing systems are subject to time-dependent changes in system parameters, such as the arrival rate or number of servers. Examples include time-dependent call volumes and agents at inbound call centers, time-varying air traffic at airports, time-dependent truck arrival rates at seaports, and cyclic message volumes in computer systems.There are several approaches for the performance analysis of queueing systems with deterministic parameter changes over time. In this survey, we develop a classification scheme that groups these approaches according to their underlying key ideas into (i) numerical and analytical solutions,(ii)approaches based on models with piecewise constant parameters, and (iii) approaches based on mod-ified system characteristics. Additionally, we identify links between the different approaches and provide a survey of applications that are categorized into service, road and air traffic, and IT systems.

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