IJPAM: Volume 66, No. 2 (2011)
MULTIPHASE QUEUES IN HEAVY TRAFFIC



4, Akademijos, Vilnius, 08663, LITHUANIA

24, Naugarduko, Vilnius, 03225, LITHUANIA

Abstract.The object of this research in the queueing theory is the Functional-Strong-Law-of-Large-Numbers (FSLLN) under the conditions of heavy traffic in Multiphase Queueing Systems (MQS). A FSLLN is known as fluid limit or fluid approximation. In this paper, the FSLLN is proved for values of important probabilistic characteristics of the MQS investigated as well as the summary queue length of customers and the queue length of customers.
Received: October 28, 2010
AMS Subject Classification: 60K25, 60G70, 60F17
Key Words and Phrases: queueing systems, multiphase queueing systems, heavy traffic, law of iterated logarithm, summary queue length of customers, queue length of customers
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2011
Volume: 66
Issue: 2