2007
Danielle Sullivan
"Simulation of the Ripley Toll Station"
Advisor: Nancy Boynton (boynton@fredonia.edu)
Arena 7.0 software was used to model the Ripley Toll Station on the New York State Thruway.
This software is used to simulate queues and collect data such as average queue length,
waiting time and processing time. The model was used to examine the effect that EZ-Pass,
tandem booths, and the number of lanes have on the traffic system. Computer results were
compared with the results found using theoretical equations.
2006
Gabrielle Fijas
"Investigation of Ranges in the Uniform and Exponential Distributions"
Advisor: Nancy Boynton (boynton@fredonia.edu)
My honors thesis has been in the area of mathematical statistics and more specifically
looking at multivariate probability distributions and functions of random variables.
I derived the distribution of the range using order statistics for the uniform and
exponential distributions. I then compared the theoretical distributions with data
generated from simulations using the Minitab software. By doing this, I am able to
compare the theoretical distributions with data from simulations. I used Fathom to
make graphical comparisons.
2005
Katie Carutis
"Arrive, WAIT, and Process"
Advisor: Nancy Boynton (boynton@fredonia.edu)
This project modeled workflow in a small business using ARENA 7 software. The
business was also modeled using queuing theory and Jackson networks. Similar
results were obtained both ways. Backlogs and delays were noted. The mean time
required to complete a job was estimated. The results were compared to the actual
business being modeled.