Traffic wave
Presentor : Hsu, Hung-Wei
What is traffic wave?
Why is it important?
How does it appear?
- Traffic Light
- Cycle Effect
- Lane Reduction
Important Factors
- Reaction time
- Variance between drivers
- Density of cars
Model building
- Safety distance d(v)
- Constant acceleration
- Variance of acceleration
Safety Distance
d_{safe}(v) \approx v + \frac{1}{2}a\frac{v^2}{a^2}
=v+\frac{v^2}{2a}
d_{acc}(v) \approx v + \frac{1}{2}a\frac{(a+v)^2}{a^2}
=v+\frac{(a+v)^2}{2a}
Traffic Light
Reaction time = 1
Reaction time = 10
Reaction = 20
Speed - Reaction time
Cycle effect
Cycle effect
reaction time = 20
reaction time = 50
Reaction time
Cycle effect
a \sim gaussian(\mu, \sigma)
\sigma = 0
\sigma = 0.1\mu
\sigma = 0.2\mu
Density Effect
Threshold appears
Comparison
Reaction
Variance of acceleration
Density
Lane Reduction
Low density
High density
Lane Reduction
Lane Reduction
Notice distance
Summary
- Keep alert - reaction time
- Don't be a strange driver
- Don't drive during rush hour