Applying Transportation Forecasting to the Atlanta Area Public Transportation System

<p>In this thesis, we examine the implementation of volume delay functions to the Metropolitan Atlanta Rapid Transportation Authority (MARTA) system. Volume delay functions are n differentiable functions used to estimate the long-term distribution of user traffic on transportation systems. We will demonstrate the graphical behavior of these functions as well as explain the constraints for these functions. These tasks will be completed by developing a simplistic yet unrealistic model, demonstrate how the integral is used to estimate the total sum of this model, and then introduce the two functions which will be used in the analysis. The final task of this paper will be to develop and implement functions which have properties which allow them to directly relate to the unique behavior of public transportation systems. The final analysis will be the interaction of the functions developed in this paper with the preexisting, well-behaved BPR and Davidson functions.</p>

Name thesis:degree_name

Master of Science in Mathematics (M.S.)

Level thesis:degree_level

Thesis (open access)

Discipline thesis:degree_discipline

Department of Mathematical Sciences

Year dc:date.available

2010

Author dc:creator

• Taylor, Aaron L.

Contributors dc:contributor

• Scott Kersey
• Yan Wu

• ETD
• Volume delay functions
• User equilibrium
• System optimization
• Waldrop equilibrium
• Engineering

Repository record dc:identifier

https://digitalcommons.georgiasouthern.edu/etd/654

OAI identifier oai:identifier

oai:digitalcommons.georgiasouthern.edu:etd-1654