eLecture : Discrete Models of Traffic Flow

Taksu Cheon

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Discrete Models of Traffic Flow (0-2)

Organization of This eLecture



1. Quantative Description of Traffic Flow

2. Fundamental Diagram and Flow Diagram

3. Cellular Automaton and Traffic Flow

4. Standard Model of Nagel and Schreckenberg

5. Alternative Models

6. Phase Structures of Segment Dependent Nishimura Model

7. Model with Preemptive Drivers

8. Two Lane Traffic

9. Concluding Remarks with References

Readers are not required to have any prior knowledge of the field, nor is he required any advanced mathematics. High school level mathematics with some programming skill will do just fine. It would not be much of an exaerration to say that, after the actual numerivcal checks with his own computer programming of the examples found in the following pages, the readers who reach the last page can reasonably hope to be at the starting point of active research.

First three sections lay out the basic concepts of traffic flow, and the fouth section describes Nagel-Shreckenberg model. The sections five to eight are the core of this eLecture that describe our original models (at present, sections 7 and 8 are still under construction).

Natigation in the pages should be evident: It combines sequential navigation using "Previous" nad "Next" botton and the direct navigation to the head of each section.

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