Analysis of discrete-time multiserver queueing models with constant service times

Authors:
Herwig Bruneel;Ilse Wuyts
Affiliations:
Laboratory for Communications Engineering, University of Ghent, Sint-Pietersnieuwstraat 41, B-9000 Gent, Belgium;Laboratory for Electromagnetism and Acoustics, University of Ghent, Sint-Pietersnieuwstraat 41, B-9000 Gent, Belgium
Venue:
Operations Research Letters
Year:
1994

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Abstract

A discrete-time multiserver queueing model is analyzed. The model allows for an arbitrary number of servers, arbitrary-length constant service times, and general independent arrivals. As a result of the analysis, an explicit expression is obtained for the generating function of the queue length, which easily allows the derivation of such performance measures as the moments and the tail distribution of the queue length. Application areas of the model include ATM switching elements, circuit-switched TDMA systems and traffic concentrators.