IJPAM: Volume 39, No. 4 (2007)

INVESTIGATION OF A MATHEMATICAL MODEL
OF THE MESSAGE SWITCHING SYSTEM

Saulius Minkevicius$^1$, Stasys Steišunas$^2$
$^{1,2}$Institute of Mathematics and Informatics
Akademijos 4, Vilnius, 08663, LITHUANIA
$^1$e-mail: stst@ktl.mii.lt
$^2$e-mail: s.steisunas@post.skynet.lt


Abstract.The paper is designated to the analysis of queueing systems, arising in the network and communications theory. The purpose of this research in the queueing theory is the theorem on the law of the iterated logarithm (LIL) in multiphase queueing systems and its application to the mathematical model of the message switching system. First we investigate the extremal values of the cumulative idle time of a customer (maximum and minimum of the cumulative idle time of a customer).

Received: July 25, 2007

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

Key Words and Phrases: mathematical models of technical systems, queueing systems, multiphase queueing systems, a law of the iterated logarithm, a cumulative idle time of a customer, extremal values

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 39
Issue: 4