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

Jayesh Kumaran; Kenneth Mitchell; Appie Van de Liefvoort — 2004

RAIRO - Operations Research - Recherche Opérationnelle

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 $(k - 1)$ .

Characterization of the departure process from an queue

Jayesh Kumaran; Kenneth Mitchell; Appie van de Liefvoort — 2010

RAIRO - Operations Research

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

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