First passage processes in Queuing system MX/Gr/1 with service delay discipline

First passage processes in Queuing system MX/Gr/1 with service delay discipline

This article deals with a general single-server bulk queueing system with a server waiting until the queue will reach level r before it starts processing customers. If at least r customers are available the server takes a batch of the fixed size r of units for service. The input stream is assumed to...

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Bibliographic Details
Main Authors: Lev Abolnikov, Jewgeni H. Dshalalow, Alexander M. Dukhovny
Format: Article
Language:English
Published: Hindawi Limited 1994-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
queueing process
embedded Markov chain
semi-Markov process
semi-regenerative process
modulated random measure
service cycle
idle period
busy period
output process
continuous time parameter process.
Online Access:http://dx.doi.org/10.1155/S0161171294000827

Internet

http://dx.doi.org/10.1155/S0161171294000827

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