The Problem of Traffic: A Mathematical Modeling Journey

The Problem of Traffic: A Mathematical Modeling Journey

Dr. Trefor Bazett via YouTube Direct link

The Challenge of Traffic

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The Challenge of Traffic

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The Problem of Traffic: A Mathematical Modeling Journey

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

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