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Threshold control by a single-server retrial queue with batch arrivals and group services

โœ Scribed by Che Soong Kim; Aliaksandr Kanechny; Alexander Dudin


Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
192 KB
Volume
34
Category
Article
ISSN
0167-6377

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โœฆ Synopsis


A controlled single-server retrial queueing system is investigated. Customers arrive according to batch Markovian arrival process. The system has several operation modes which are controlled by means of a threshold strategy. The stationary distribution is calculated. Optimization problem is considered and a numerical example is presented.


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โœ Ivan Atencia; Pilar Moreno ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 189 KB

Negative arrivals are used as a control mechanism in many telecommunication and computer networks. This paper analyses a discrete-time single-server queue with geometrical arrivals of both positive and negative customers. We consider both the cases where negative customers remove positive customers