Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10348498 | Computers & Operations Research | 2005 | 24 Pages |
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.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Karabi Sikdar, U.C. Gupta,