Tandem Queues with Non-Stationary Arrivals

Author

Senthil balaji Girimurugan, Clemson UniversityFollow

Date of Award

5-2009

Document Type

Thesis

Degree Name

Master of Science (MS)

Legacy Department

Mathematical Science

Committee Chair/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, ..,Q_K. The arrivals to Q ₁ form a non-homogeneous Poisson process whose intensity is periodic. We conjecture that asymptotically the arrival process A_j to Q_j, 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.

Recommended Citation

Girimurugan, Senthil balaji, "Tandem Queues with Non-Stationary Arrivals" (2009). All Theses. 578.
https://open.clemson.edu/all_theses/578