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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 1985 Issue 11, Pages 78–83 (Mi at7635)

This article is cited in 2 papers

Stochastic Systems

Distribution of the total volume of messages in a single-server queueing system with group arrival

O. M. Tikhonenko

Minsk

Abstract: For a single-line single-phase service system with an inifinite queue, and group arrival of messages whose arrival times make a simple flow with the simultaneous message length and service duration function is specified the Laplace–Stieltjes transformation is determined in stationary mode and the initial times of the total message flow distribution functions are determined.

UDC: 65.012.122


Received: 26.10.1984


 English version:
Automation and Remote Control, 1985, 46, 1412–1416

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© Steklov Math. Inst. of RAS, 2026