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Probabilistic Decomposition Method on the ServerIndices of an MξG1 Vacation Queue
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-23
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper develops a probabilistic decomposition method for an Mξ/G/1 repairable queueing system with multiple vacations, in which the customers who arrive during server vacations enter the system with probability p.
Such a novel method is used to analyze the main performance indices of the server, such as the unavailability and the mean failure number during (0,t].
It is derived that the structures of server indices are two convolution equations.
Further, comparisons with existing methods indicate that our method is effective and applicable for studying server performances in single-server Mξ/G/1 vacation queues and their complex variants.
Finally, a stochastic order and production system with a multipurpose production facility is numerically presented for illustrative purpose.
American Psychological Association (APA)
Liu, Renbin. 2014. Probabilistic Decomposition Method on the ServerIndices of an MξG1 Vacation Queue. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-456647
Modern Language Association (MLA)
Liu, Renbin. Probabilistic Decomposition Method on the ServerIndices of an MξG1 Vacation Queue. Journal of Applied Mathematics No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-456647
American Medical Association (AMA)
Liu, Renbin. Probabilistic Decomposition Method on the ServerIndices of an MξG1 Vacation Queue. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-456647
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-456647