Date of Award
2014
Document Type
Thesis
Department
Mathematics and Statistics
First Advisor
Gerardo Lafferriere
Subjects
Bus lines -- Mathematical models, Traffic flow -- Mathematical models, Bus lines -- Timetables, Travel time (Traffic engineering)
DOI
10.15760/honors.66
Abstract
In this work, the possibilities of modeling bus bunching using Petri nets and max-plus algebra are investigated. The basic properties of max-plus algebra and Petri nets are introduced, and previous work modeling transportation networks with these tools is summarized. One previous model that incorporates a non-analytic feature is simplified to remove this feature while retaining the model's function, and it is proved that passenger interaction with the bus network cannot be modeled with autonomous timed event graphs with stop subnets.
Persistent Identifier
http://archives.pdx.edu/ds/psu/11980
Recommended Citation
Newcomb, Harry, "Modeling Bus Bunching with Petri Nets and Max-Plus Algebra" (2014). University Honors Theses. Paper 64.
https://pdxscholar.library.pdx.edu/honorstheses/64
10.15760/honors.66
Comments
An undergraduate honors thesis submitted in partial fulfillment of the requirements for the degree of Bachelor of Science in University Honors and Mathematics