Communication-Network Theory and Large System Science

Proof of the Poisson Hypothesis for Circuit-Switching Loss Networks

M. Yu. Kradinov


Abstract: We prove the identity for the integral representation of the partial function of the main queueing process in circuit-switching star networks with losses. The integral representation is used to derive sufficient conditions for asymptotic applicability of the Poisson hypothesis for these networks and strict bounds for violations from this hypothesis in the finite case.

UDC: 621.394.74:519.2

Received: 30.08.1991

 English version: Problems of Information Transmission, 1992, 28:4, 375–383

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