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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 2005 Issue 11, Pages 89–98 (Mi at1463)

This article is cited in 2 papers

Queuing Systems

$\mathrm{MAP}/\Gamma/1/r$ system with a large service time variation coefficient

P. P. Bocharov

Peoples Friendship University of Russia

Abstract: A single-server queueing system with bounded buffer, Poisson flow, and gamma service time distribution is studied. Limiting values of certain performance indexes for unboundedly increasing service time variation coefficient are determined and approximate formulas for the performance characteristics of the system for large variation coefficients are derived.

Presented by the member of Editorial Board: V. V. Rykov

Received: 08.12.2004


 English version:
Automation and Remote Control, 2005, 66:11, 1782–1790

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© Steklov Math. Inst. of RAS, 2026