About cumulative idle time model of the message switching system

S. Minkevicius

Authors

S. Minkevicius VU Institute of Mathematics and Informatics, Akademijos 4, 08663 Vilnius, Lithuania. Vilnius University, Faculty of Mathematics and Informatics, Naugarduko 24, 03225 Vilnius, Lithuania.

Keywords:

mathematical models of technical systems, queueing theory, multiphase queueing systems, a law of the iterated logarithm, cumulative idle time of a customer

Abstract

The purpose of this research in the queueing theory is the theorem about the law of the iterated logarithm in multiphase queueing systems and its application to the mathematical model of the message switching system. First the law of the iterated logarithm is proved for the cumulative idle time of a customer. Finally we present an application of the proved theorem for the model of the message switching system.