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.

Received: June 15, 2006

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

Key Words and Phrases: mathematical models of technical systems, queueing theory, multiphase queueing systems, heavy traffic, a law of the iterated logarithm, sojourn time of a customer

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 30
Issue: 2