ON THE CUMULATIVE IDLETIME IN A MODEL OF THE MESSAGE SWITCHING SYSTEM

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 we proof the law of the iterated logarithm for the cumulative idle time of a customer. Then we present an application of the proved theoremfor the model of the message switching system.