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Analysis of Queue-Length Dependent Vacations and P-Limited Service in BMAPG1N Systems : Stationary Distributions and Optimal Control
Author
Source
International Journal of Stochastic Analysis
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-10
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We consider a finite-buffer single server queueing system with queue-length dependent vacations where arrivals occur according to a batch Markovian arrival process (BMAP).
The service discipline is P-limited service, also called E-limited with limit variation (ELV) where the server serves until either the system is emptied or a randomly chosen limit of L customers has been served.
Depending on the number of customers present in the system, the server will monitor his vacation times.
Queue-length distributions at various epochs such as before, arrival, arbitrary and after, departure have been obtained.
Several other service disciplines like Bernoulli scheduling, nonexhaustive service, and E-limited service can be treated as special cases of the P-limited service.
Finally, the total expected cost function per unit time is considered to determine locally optimal values N* of N or a maximum limit L^* of L^ as the number of customers served during a service period at a minimum cost.
American Psychological Association (APA)
Banik, A. D.. 2013. Analysis of Queue-Length Dependent Vacations and P-Limited Service in BMAPG1N Systems : Stationary Distributions and Optimal Control. International Journal of Stochastic Analysis،Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-453688
Modern Language Association (MLA)
Banik, A. D.. Analysis of Queue-Length Dependent Vacations and P-Limited Service in BMAPG1N Systems : Stationary Distributions and Optimal Control. International Journal of Stochastic Analysis No. 2013 (2013), pp.1-14.
https://search.emarefa.net/detail/BIM-453688
American Medical Association (AMA)
Banik, A. D.. Analysis of Queue-Length Dependent Vacations and P-Limited Service in BMAPG1N Systems : Stationary Distributions and Optimal Control. International Journal of Stochastic Analysis. 2013. Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-453688
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-453688