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doi:10.1016/0167-7152(93)90156-D 
Copyright © 1993 Published by Elsevier Science B.V. All rights reserved.
Stochastic analysis of a controlled bulk queueing system with continuously operating server: continuous time parameter queueing process
Available online 21 March 2002.
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Abstract
Stochastic processes in a bulk single-server queue with continuously operating server, semi-Markov modulated compound Poisson input process and general state dependent service process are studied. The authors treat the queueing process with continuous time parameter as a semi-regenerative process and obtain its stationary probability distribution. The authors also study the input and output processes and establish ergodic theorems for some functionals of these processes. The results obtained in the article are illustrated by various examples.
Author Keywords: Semi-Markov modulated input; controlled group size; controlled service; controlled batch size; single-server queue; queueing process; semi-regenerative process; semi-Markov process; ergodic theorems; output process; optimization
Mathematical subject codes: Primary 60K10, 60K25; Secondary 90B22, 90B25
