Analytic and numerical aspects of batch service queues with single vacation

Analytic and numerical aspects of batch service queues with single vacation

0.00 Avg rating0 Votes
Article ID: iaor20061027
Country: United Kingdom
Volume: 32
Issue: 4
Start Page Number: 943
End Page Number: 966
Publication Date: Apr 2005
Journal: Computers and Operations Research
Authors: ,
Keywords: M/G/1 queues, vacation models, batch queues
Abstract:

This paper deals with an M/G/1 batch service queue where customers are served in batches of maximum size b with a minimum threshold value a. The server takes a single vacation when he finds less than a customers after the service completion. The vacation time of the server is arbitrarily distributed. Using the supplementary variable method we obtain the probability generating functions of the queue length distributions at various epochs. We also obtain relations among queue length distributions at arbitrary, service (vacation) termination epochs. Further, their evaluation is also discussed. Finally, some numerical results and graphs are presented.

Reviews

Required fields are marked *. Your email address will not be published.