Date of Award

2014

Document Type

Thesis

Degree Name

Bachelor of Science (B.S.) in Mathematics and University Honors

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

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