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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 1988 Issue 7, Pages 107–120 (Mi at6720)

Queuing Systems

A variable-parameter service system

M. I. Volkovinskiy, O. F. Volkovinskii

Moscow

Abstract: In the queueing system of this article the rates of input flow and service vary with the queue length. The amount of customer service activity depends on the queue length at the arrival time. An explicit form of the queue length distribution, the rate of server unload, and the duration of busy periods is found in terms of Laplace transforms.

UDC: 519.872.2


Received: 19.06.1987


 English version:
Automation and Remote Control, 1988, 49:7, 903–913

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© Steklov Math. Inst. of RAS, 2026