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.
","abstract_html":"<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>","abstract_has_math":false,"creators":["Taylor, Aaron L."],"institution":null,"degree_name":"Master of Science in Mathematics (M.S.)","degree_level":"Thesis (open access)","degree_discipline":"Department of Mathematical Sciences","degree_department":null,"school":null,"contributors":["Scott Kersey","Yan Wu"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2010,"date_issued":"2010-01-01T08:00:00Z","date_published":"2010-01-01T08:00:00Z","updated_at":"2026-07-24T02:27:19Z","subjects":["ETD","Volume delay functions","User equilibrium","System optimization","Waldrop equilibrium","Engineering"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://digitalcommons.georgiasouthern.edu/etd/654","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Scott Kersey","Yan Wu"]},{"key":"dc:creator","label":"Author","values":["Taylor, Aaron L."]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.available","label":"Dc Date Available","values":["2013-10-17T07:00:00Z"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Department of Mathematical Sciences"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis (open access)"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Master of Science in Mathematics (M.S.)"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["ETD","Volume delay functions","User equilibrium","System optimization","Waldrop equilibrium","Engineering"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://digitalcommons.georgiasouthern.edu/etd/654"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["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.
"]},{"key":"dc:title","label":"Title","values":["Applying Transportation Forecasting to the Atlanta Area Public Transportation System"]}]}],"canonical_facts":{"dc:contributor":["Scott Kersey","Yan Wu"],"dc:creator":["Taylor, Aaron L."],"dc:date.available":["2013-10-17T07:00:00Z"],"dc:description.abstract":["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.
"],"dc:identifier":["https://digitalcommons.georgiasouthern.edu/etd/654"],"dc:subject":["ETD","Volume delay functions","User equilibrium","System optimization","Waldrop equilibrium","Engineering"],"dc:title":["Applying Transportation Forecasting to the Atlanta Area Public Transportation System"],"thesis:degree_discipline":["Department of Mathematical Sciences"],"thesis:degree_level":["Thesis (open access)"],"thesis:degree_name":["Master of Science in Mathematics (M.S.)"]},"updated_at":"2026-07-24T02:27:19Z"}