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.

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