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Queue Length and Server Content Distribution in an Infinite-Buffer Batch-Service Queue with Batch-Size-Dependent Service
Joint Authors
Source
Advances in Operations Research
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-10-04
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Information Technology and Computer Science
Abstract EN
We analyze an infinite-buffer batch-size-dependent batch-service queue with Poisson arrival and arbitrarily distributed service time.
Using supplementary variable technique, we derive a bivariate probability generating function from which the joint distribution of queue and server content at departure epoch of a batch is extracted and presented in terms of roots of the characteristic equation.
We also obtain the joint distribution of queue and server content at arbitrary epoch.
Finally, the utility of analytical results is demonstrated by the inclusion of some numerical examples which also includes the investigation of multiple zeros.
American Psychological Association (APA)
Gupta, U. C.& Pradhan, S.. 2015. Queue Length and Server Content Distribution in an Infinite-Buffer Batch-Service Queue with Batch-Size-Dependent Service. Advances in Operations Research،Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1053790
Modern Language Association (MLA)
Gupta, U. C.& Pradhan, S.. Queue Length and Server Content Distribution in an Infinite-Buffer Batch-Service Queue with Batch-Size-Dependent Service. Advances in Operations Research No. 2015 (2015), pp.1-12.
https://search.emarefa.net/detail/BIM-1053790
American Medical Association (AMA)
Gupta, U. C.& Pradhan, S.. Queue Length and Server Content Distribution in an Infinite-Buffer Batch-Service Queue with Batch-Size-Dependent Service. Advances in Operations Research. 2015. Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1053790
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1053790