Date of Award
Bachelor of Science (B.S.) in Mathematics and University Honors
Mathematics and Statistics
Bus lines -- Mathematical models, Traffic flow -- Mathematical models, Bus lines -- Timetables, Travel time (Traffic engineering)
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.
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Newcomb, Harry, "Modeling Bus Bunching with Petri Nets and Max-Plus Algebra" (2014). University Honors Theses. Paper 64.