Abstract.We use a mathematical model of an open queueing network in heavy traffic. The probability limit theorem for the extreme virtual waiting time of a customer in heavy traffic in open queueing networks has been presented. Finally, we present an application of the theorem - a reliability model from computer network practice.

Received: November 24, 2006

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

Key Words and Phrases: mathematical models of technical systems, reliability theory, queueing theory, open queueing network, heavy traffic, probability limit theorem, virtual waiting time of a customer, extreme value

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 35
Issue: 4