A duplex cyclic polling system for mixed queues

We consider a new mathematical model that adequately represents the workings of a cyclic polling system in high-speed wireless MESH-networks. The queues are serviced by two processing units (servers) in a cyclic fashion. Part of the queues are available for cyclic polling for both servers; each of t...

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Bibliographic Details
Published in:Automation and remote control 2009-12, Vol.70 (12), p.2050-2060
Main Authors: Vishnevskii, V. M., Semenova, O. V., Shpilev, S. A.
Format: Article
Language:English
Subjects:
CAE) and Design
Calculus of Variations and Optimal Control
Optimization
Computer-Aided Engineering (CAD
Control
Mathematics
Mathematics and Statistics
Mechanical Engineering
Mechatronics
Non-Classical Models of the Queuing Theory
Robotics
Systems Theory
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Summary:We consider a new mathematical model that adequately represents the workings of a cyclic polling system in high-speed wireless MESH-networks. The queues are serviced by two processing units (servers) in a cyclic fashion. Part of the queues are available for cyclic polling for both servers; each of the remaining queues is attached to its “own” processing unit in the servicing cycle. To study this system, we have applied the mean value approach and have obtained analytic expressions for average waiting times of claims in the queues and other characteristics. The paper also presents numerical examples.
ISSN:0005-1179
1608-3032
DOI:10.1134/S0005117909120121