A queueing system with a fixed accumulation level, random server capacity and capacity dependent service time

This paper introduces a bulk queueing system with a single server processing groups of customers of a variable size. If upon completion of service the queueing level is at least r the server takes a batch of size r and processes it a random time arbitrarily distributed. If the queueing level is less...

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Bibliographic Details

Published in:	International Journal of Mathematics and Mathematical Sciences
Main Authors:	Jewgeni H. Dshalalow, Lotfi Tadj
Format:	Article
Language:	English
Published:	Wiley 1992-01-01
Subjects:	single-server queue queueing process bulk dependent service accumulation Markov process Markov Renewal process semi-regenerative process.
Online Access:	http://dx.doi.org/10.1155/S0161171292000218