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Defining the Problem
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Classroom Contents
The Problem of Traffic: A Mathematical Modeling Journey
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- 1 The Challenge of Traffic
- 2 #SoME2
- 3 The Modelling Process
- 4 Defining the Problem
- 5 Choosing Which Variables to Consider
- 6 Making Assumptions
- 7 Building the Microscopic Model for Each Car
- 8 Macroscopic Equilibrium
- 9 The Relationship between Density and Velocity
- 10 Maximizing Flux and the Optimal Oensity
- 11 Modelling a Sequence of Cars
- 12 Modelling the First Car
- 13 Full Model: A Differential Delay System
- 14 Assessing the Model Graphically
- 15 Assessing the Model Qualitatively
- 16 Solving Differential Delay Systems
