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Analysis of Multiserver Queueing System with Opportunistic Occupation and Reservation of Servers
Joint Authors
Sun, Bin
Dudin, Sergey A.
Lee, Moon Ho
Dudin, Alexander N.
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-07
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We consider a multiserver queueing system with two input flows.
Type-1 customers have preemptive priority and are lost during arrival only if all servers are occupied by type-1 customers.
If all servers are occupied, but some provide service to type-2 customers, service of type-2 customer is terminated and type-1 customer occupies the server.
If the number of busy servers is less than the threshold M during type-2 customer arrival epoch, this customer is accepted.
Otherwise, it is lost or becomes a retrial customer.
It will retry to obtain service.
Type-2 customer whose service is terminated is lost or moves to the pool of retrial customers.
The service time is exponentially distributed with the rate dependent on the customer’s type.
Such queueing system is suitable for modeling cognitive radio.
Type-1 customers are interpreted as requests generated by primary users.
Type-2 customers are generated by secondary or cognitive users.
The problem of optimal choice of the threshold M is the subject of this paper.
Behavior of the system is described by the multidimensional Markov chain.
Its generator, ergodicity condition, and stationary distribution are given.
The system performance measures are obtained.
The numerical results show the effectiveness of considered admission control.
American Psychological Association (APA)
Sun, Bin& Lee, Moon Ho& Dudin, Sergey A.& Dudin, Alexander N.. 2014. Analysis of Multiserver Queueing System with Opportunistic Occupation and Reservation of Servers. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-452116
Modern Language Association (MLA)
Sun, Bin…[et al.]. Analysis of Multiserver Queueing System with Opportunistic Occupation and Reservation of Servers. Mathematical Problems in Engineering No. 2014 (2014), pp.1-13.
https://search.emarefa.net/detail/BIM-452116
American Medical Association (AMA)
Sun, Bin& Lee, Moon Ho& Dudin, Sergey A.& Dudin, Alexander N.. Analysis of Multiserver Queueing System with Opportunistic Occupation and Reservation of Servers. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-452116
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-452116