While the multi-valued nature in real fundamental diagrams is most likely due to a variety of effects, our studies show that traffic waves must not be neglected in the explanation of this phenomenon.įurther findings of our research are trains of multiple jamitons that can occur on long roads. In these, the spread in measurement data is caused by the unsteadiness of jamiton solutions in a systematic and predictable fashion.
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Our work also demonstrates that jamitons can serve as an explanation of multi-valued fundamental diagrams of traffic flow that are observed in measurement data.
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The theoretical description of the jamiton solution admits a better understanding of their behavior. The considered jamitons can qualitatively be found both in observed real traffic as well as in experiments. Numerical simulations of the considered traffic models show that the predicted jamiton solutions are in fact achieved, if the initial traffic density is sufficiently dense. Employing the theory of denotation waves, we have developed ways to analytically predict the exact shape and the speed of propagation of jamitons. Our research is based on the observation that the considered traffic models are similar to the equations that describe detonation waves produced by explosions. In analogy to other traveling waves, so called solitons, we call such traveling traffic waves jamitons. Vehicles are forced to brake when they run into such waves. The instabilities are observed to grow into traveling waves, which are local peaks of high traffic density, although the average traffic density is still moderate (the highway is not fully congested). jams that arise in the absence of any obstacles. This phenomenon is typically addressed as a model for phantom traffic jams, i.e. However, above a critical threshold density (that depends on the model parameters) the flow becomes unstable, and small perturbations amplify. The considered traffic models predict a nice, uniform traffic flow at low traffic densities.
Traffic manager president edition timed traffic lights drivers#
All drivers behave according to the same laws, and fully predictably. In the simplest case, a single-lane, straight, and uniform road is considered.
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Specifically, we consider the Payne-Whitham model, the Aw-Rascle model, and generalizations thereof. We consider mathematical equations that model traffic similar to the equations of fluid flow. This web site presents theoretical results about special traveling wave solutions of continuum traffic models.