Automata Theory and Communication-Network Theory

Asymptotic Invariance of Probabilistic Characteristics of Structurally Complex Switching Systems with Losses

G. I. Falin


Abstract: For an extensive class of systems, including non-full-access arrangements, various types of communication networks, etc., the author establishes asymptotic invariance of probability characteristics such as the blocking probability, distribution of number of busy paths, etc., in the sense that the first term in the expansion of the characteristics in powers in the arriving load is independent of the distribution of the duration of servicing for fixed average values of the latter.

UDC: 621.391.34:519.2

Received: 21.02.1980

 English version: Problems of Information Transmission, 1981, 17:2, 134–139

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