Abstract.The object of this research in the queueing theory is functional limit theorems under the various conditions of heavy traffic in multiphase queueing systems (MQS). In this paper, limit theorems are proved for values of important probabilistic characteristics of the queueing system investigated as well as sojourn time of a customer. Also, we prove a lemma that sojourn time of a customer can be approximated by some novel recurrent functional.

Received: May 13, 2010

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

Key Words and Phrases: queueing systems, multiphase queueing systems, heavy traffic limits, sojourn time of a customer

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 63
Issue: 4