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Automatic fitting procedure for the fundamental diagram

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11-08-14

Automatic fitting procedure for the Fundamental Diagram Victor L. Knoop and Winnie Daamen

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Fitting fundamental diagrams

Finding capacityCapacity dropScatter

Errornous data

Time mean speeds

Risks:

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Fitting fundamental diagrams

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Triangular fit

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How to test this procedure?

Simulation to test quality

Real data to test robustnessFit Wu's fundamental diagram

(decreasing free flow speed) - different from simulation - capacity drop

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Simulation

Single vehicle class

No driver heterogeneityTwo lane, on-ramp

Loops: time mean speed

Loops: harmonically averaged speed

Edie defs on parallelogramMoving bottlenecks:

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Effect of data collection method

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Results fitting

Separation based on triangular FD worksAll parameters free gives bad estimatesBest: fix the wave speed

– That is relatively constant, so easy to do!

Fixing free flow speed:

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Conclusions

Robust method to fit fundamental diagram

Separate free flow branch from congestion

using a fit of the triangular diagram

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Acknowledgement

Cytaty

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