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Characterization of the departure process from an ME/ME/1 queue

Published online by Cambridge University Press:  15 April 2004

Jayesh Kumaran ,
Kenneth Mitchell  and
Appie van de Liefvoort
Jayesh Kumaran
Affiliation:
Division of Computer Science and Electrical Engineering, School of Computing and Engineering, University of Missouri-Kansas City, Missouri 64110, USA; mitchellke@umkc.edu.
Kenneth Mitchell
Affiliation:
Division of Computer Science and Electrical Engineering, School of Computing and Engineering, University of Missouri-Kansas City, Missouri 64110, USA; mitchellke@umkc.edu.
Appie van de Liefvoort
Affiliation:
Division of Computer Science and Electrical Engineering, School of Computing and Engineering, University of Missouri-Kansas City, Missouri 64110, USA; mitchellke@umkc.edu.
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Abstract

In this paper we propose a family of finite approximations for the departure process of an ME/ME/1 queue indexed by a parameter k defined as the system size of the finite approximation. The approximations capture the interdeparture times from an ME/ME/1 queue exactly and preserve the lag correlations of inter-event times of the departures from an ME/ME/1 queue up to lag (k - 1).

Type
Research Article
Information
RAIRO - Operations Research , Volume 38 , Issue 2: Advances in modelling of complex systems , April 2004 , pp. 173 - 191
Copyright
© EDP Sciences, 2004

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