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JOURNALS // Problemy Peredachi Informatsii // Archive

Probl. Peredachi Inf., 1981 Volume 17, Issue 3, Pages 89–95 (Mi ppi1411)

Communication Network Theory

Asymptotic Analysis of a Complete Communication Network with a Large Number of Points and Bypass Routes

V. V. Marbukh


Abstract: The article obtains asymptotic values as $N\to\infty$ of some characteristics of a complete communication network with $N$ points and bypass routes. In particular, it is shown that for certain parameter values and $N\to\infty$ there is a “phase transition of Van der Waals type” in the network. The approach is based on the “hypothesis of conservation of chaos” in the network as $N\to\infty$.

UDC: 621.394/395.74:519.2

Received: 09.04.1980
Revised: 12.11.1980


 English version:
Problems of Information Transmission, 1981, 17:3, 212–216

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© Steklov Math. Inst. of RAS, 2024