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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 1984 Issue 4, Pages 72–83 (Mi at4665)

Stochastic Systems

Studies of a two-stage service system with losses due to connection to the first stage and to unreliable servers

V. M. Vishnevsky, V. A. Zharkikh

Moscow

Abstract: A two-stage service system models the protocol of interaction between a connected processor and a central computer. In terms of the Laplace transformation a derivative distribution function of the number of calls at the stages, the distribution of the busy period and the server unloading interval, a generatrix of the distribution of call numbers over the busy period are, found. Expressions are obtained for first moments of these distributions.

UDC: 65.012.122


Received: 17.11.1981


 English version:
Automation and Remote Control, 1984, 45:4, 473–482

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© Steklov Math. Inst. of RAS, 2026