Term of Award
Master of Science in Mathematics (M.S.)
Document Type and Release Option
Thesis (open access)
Copyright Statement / License for Reuse
This work is licensed under a Creative Commons Attribution 4.0 License.
Department of Mathematical Sciences
Committee Member 1
Committee Member 2
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.
Taylor, Aaron L., "Applying Transportation Forecasting to the Atlanta Area Public Transportation System" (2010). Electronic Theses and Dissertations. 654.