CE 391F

Advanced Theory of Traffic Flow

Spring 2013

This course is designed to teach students several theories of traffic flow and their application in simulation software. Notes, homeworks, and practice exams will be posted here as the semester progresses.

Syllabus.

Papers for presentation during March.

Spreadsheet from 2/26 showing the start of the implicit solution method.

Homeworks

• Homework 1, due February 14. Solutions
• Homework 2, due March 7. Solutions with spreadsheet.
• Homework 3, due April 4.
• Homework 4, due April 25.

Lecture Slides

• January 22 - Introduction to course, basic quantities
• January 24 - LWR model and shockwaves
• January 29 - Newell's method
• January 31 - Daganzo's method
• February 5 - More on Daganzo's method
• February 7 - Cell transmission model
• February 12 - Summary of LWR-based methods
• February 14 - Calibrating traffic flow models
• February 21 - Higher-order models
• February 26 - Implicit solution methods for higher-order models
• March 19 - Driver and vehicle performance
• March 21 - A first car-following model
• March 26 - Stability in car following
• March 28 - Steady-state car following and fluid models
• April 2 - Cellular automata and lane changing
• April 4 - Random number generation
• April 9 - Sampling from different distributions
• April 16 and 18 - Queueing theory and gap acceptance

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