TITLE:
Basic Limit Theorems for Light Traffic Queues & Their Applications
AUTHORS:
Onkabetse A. Daman, Sulaiman Sani
KEYWORDS:
Queue, Light Traffic Queues, M/M/C Model, M/G/C Model and Occupation Rates
JOURNAL NAME:
American Journal of Operations Research,
Vol.5 No.5,
September
22,
2015
ABSTRACT: In this paper, we study some basic limit theorems characterizing the stationary behavior of light traffic queuing systems. Beginning with limit theorems for the simple M/M/1 queuing system, we demonstrate the methodology for applying these theorems for the benefit of service systems. The limit theorems studied here are dominant in the literature. Our contribution is primarily on the analysis leading to the application of these theorems in various problem situations for better operations. Relevant Examples are included to aid the application of the results studied in this work.