IJPAM: Volume 95, No. 2 (2014)
IN MULTIPHASE QUEUES
VU Institute of Mathematics and Informatics
Akademijos 4, LT-08663, Vilnius, LITHUANIA
Naugarduko 24, LT-03225, Vilnius, 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: December 29, 2013
AMS Subject Classification: 60K25, 60G70, 60F17
Key Words and Phrases: queueing systems, multiphase queueing systems, heavy traffic, a law of the iterated logarithm, summary queue length of customers, queue length of customers
Download paper from here.
DOI: 10.12732/ijpam.v95i2.1 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 123 - 129