Basic Limit Theorems for Light Traffic Queues & Their Applications

Onkabetse A. Daman¹, Sulaiman Sani^1,2*

¹Department of Mathematics, University of Botswana, Gaborone, Botswana.
²Department of Mathematics and Computer Science, Umaru Musa Yar’Adua University, Katsina, Nigeria.

DOI: 10.4236/ajor.2015.55034                

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.

Keywords

Queue, Light Traffic Queues, M/M/C Model, M/G/C Model and Occupation Rates

Conflicts of Interest

The authors declare no conflicts of interest.

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