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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 2009 Issue 12, Pages 121–133 (Mi at579)

This article is cited in 2 papers

Non-classical Models of the Queuing Theory

A duplex cyclic polling system for mixed queues

V. M. Vishnevsky, O. V. Semyonova, S. A. Shpilev

CJSC NGO "Informational and Network Technologies," Moscow, Russia

Abstract: 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.

PACS: 02.50.Cw, 02.50.Ey

Presented by the member of Editorial Board: S. F. Yashkov

Received: 12.05.2009


 English version:
Automation and Remote Control, 2009, 70:12, 2050–2060

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© Steklov Math. Inst. of RAS, 2026