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Traffic jams and traffic waves Feedback on this lesson
INTERACTIVE EXPLANATION

Why do traffic jams happen?

One driver brakes. A slowdown travels through the road. Find out how a small action can affect everyone behind it.

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Follow the mechanism

A slowdown can grow through interactions between drivers, without a road obstruction.

MIT explains upstream-moving queues; the research team documents real ring-road experiments.

MIT Engineering

Desired speed, current gap, relative speed, and preferred time headway influence IDM acceleration.

The model authors provide the acceleration equation, desired-gap equation, and meanings of the parameters.

IDM model authors

Real vehicles have produced stop-and-go waves on experimental ring roads.

These field experiments provide evidence for the phenomenon; they do not validate every setting in this playground.

Phantom Traffic Jams research team

What the model assumes

  • A 600 m, one-lane ring; identical 4.5 m vehicles and driver parameters. The rendered road and cars are illustrative, not a scale drawing.
  • 12–52 cars; desired speed 30–90 km/h; desired time headway 0.6–2.4 s. These are learning controls, not recommended driving settings.
  • Acceleration parameter a = 0.7 m/s², comfortable deceleration b = 1.8 m/s², minimum desired gap 2 m, speed exponent 4. These choices are not calibrated to a particular road.
  • Manual braking lasts 2.5 simulated seconds and applies a −4.5 m/s² limit. The application also caps deceleration at −7 m/s² and adds a 0.2 m spacing limiter. These are application additions to IDM.
  • Fixed 1/60 s time steps; nonnegative speed. The spacing limiter is a numerical guard, not a proof that all possible configurations are collision-free.
  • “Stopped or crawling” counts speed below 0.5 m/s (1.8 km/h). Time headway is a spacing preference, not an explicit reaction delay.
  • No lane changes, intersections, driver variation, or realistic crash dynamics. Each experiment is limited to 10 simulated minutes and 200 brake actions.

Independent subject review is pending.

Read the sources and model assumptions