A mathematical model of the message switching system

Abstract

The object of this research in the sphere of queueing theory is the theorem about the law of the iterated logarithm under the conditions of heavy traffic in multiphase queueing systems and its application to the model of the message switching system. First the law of the iterated logarithm is proved for values of important probabilistic characteristics of the queueing system investigated as well as sojourn time of a customer. Finally we present an application of the proved theorem for the mathematical model of the message switching system.