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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 1989 Issue 1, Pages 107–113 (Mi at6187)

This article is cited in 7 papers

Queuing Systems

Some properties of a system with losses in the case of variable rates

A. I. Zeifman

Vologda

Abstract: A service system with losses is discussed for the case where the rates $\lambda(t)$ and $\mu(t)$ are arbitrary time functions. The necessary and sufficient conditions for properties such as ergodicity are ascertained. The rates of convergence to a limit mode and a technique for approximate design of such a mode are specified.

UDC: 519.872.1


Received: 20.06.1987


 English version:
Automation and Remote Control, 1989, 50:1, 82–87

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© Steklov Math. Inst. of RAS, 2026