Saulius Minkevičius, Vladimiras Dolgopolovas
VU Institute of Mathematics and Informatics
Akademijos 4, LT-08663 Vilnius, LITHUANIA
Vilnius University, Naugarduko 24
LT-03225 Vilnius, LITHUANIA

Abstract. The modern queueing theory is one of the powerful tools for a quantitative and qualitative analysis of communication systems, computer networks, transportation systems, and many other technical systems. The paper is designated to the analysis of queueing systems, arising in the networks theory 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.

Received: March 16, 2014

AMS Subject Classification: 60K25, 60G70, 60F17

Key Words and Phrases: models of information system, open message switching system, open queueing network, queue length, heavy traffic, a law of the iterated logarithm

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