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The modern queueing theory is one of the powerful tools for a quantitative and qualitative analysis of communication systems, computer net- works, transportation systems, and many other technical systems. The paper is designated to the analysis of queueing systems, arising in the networks the- ory and communications theory (called open queueing network). The authors of this research in the sphere of queueing theory present the theorem about the law of the iterated logarithm (LIL) for the queue length in open queueing network and its application to the mathematical model of the open message switching system.

ABOUT ANALYSIS AND MODELING OF THE OPEN MESSAGE SWITCHING SYSTEM