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

Issue		RAIRO Oper. Res. Volume 38, Number 2, April-June 2004 Advances in modelling of complex systems


Page(s)		173 - 191
DOI		10.1051/ro:2004018

RAIRO Oper. Res. 38 (2004) 173-191
DOI: 10.1051/ro:2004018

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

Jayesh Kumaran, Kenneth Mitchell and Appie van de Liefvoort

Division of Computer Science and Electrical Engineering, School of Computing and Engineering, University of Missouri-Kansas City, Missouri 64110, USA; mitchellke@umkc.edu.

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).

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