Date of Award

5-2009

Document Type

Thesis

Degree Name

Master of Science (MS)

Legacy Department

Mathematical Science

Advisor

Kiessler, Peter C

Committee Member

Gallagher , Colin M

Committee Member

Lund , Robert B

Abstract

We consider a network of K queues in tandem labeled Q1, Q2, ..,QK. The arrivals to Q 1 form a non-homogeneous Poisson process whose intensity is periodic. We conjecture that asymptotically the arrival process Aj to Qj, j= 1,2,..,K is cycle stationary. In addition, we conjecture that asymptotically as 'j' gets larger, the arrival process at the jth queue gets closer to a stationary point process. Hence, the queue performance measures become more stationary as 'j' increases. We perform Monte-Carlo simulations and design statistical tests whose results support the conjecture.

Share

COinS
 
 

To view the content in your browser, please download Adobe Reader or, alternately,
you may Download the file to your hard drive.

NOTE: The latest versions of Adobe Reader do not support viewing PDF files within Firefox on Mac OS and if you are using a modern (Intel) Mac, there is no official plugin for viewing PDF files within the browser window.