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MIT mathematicians model traffic jams like detonation waves

Most drivers have been stuck in a traffic jam at one point or another. Some of the jams are caused by an accident or closed lanes. Other traffic jams crop up with seemingly no reason.

A group of mathematicians at MIT is working on the development of a new model to explain how and why these so-call phantom traffic jams form. According to the researchers, these types of phantom traffic jams form when there are a lot of cars on the road and small disturbances like a driver hitting the brakes too hard or getting too close to another car. These little disturbances can escalate into a self-sustaining traffic jam.

The model developed by the team of researchers may help road designers build roads to minimize the possibility of phantom traffic jams. The key to the study is the discovery that the mathematics of these jams called jamitons are very similar to the equations used to describe the detonation waves produced by explosions.

The discovery of the jamitons allowed the researchers to solve traffic jam equations first theorized in the 1950's. The equations are reportedly similar to those used in fluid mechanics and model traffic jams as self-sustaining waves. The equations allowed the researchers to calculate the conditions that case a jamitons to form and how fast the jamiton will spread.

According to the researchers, once this type of jamiton forms it is nearly impossible to break up and a driver’s only choice is to wait the jamiton out. The researchers say that the new model can help road designers to determine speed limits that are safer and find stretches of road where accidents are more likely.

One of the researchers, Aslan Kasimov, said, "We wanted to describe this using a mathematical model similar to that of fluid flow." Kasimov and his team say that they discovered that jamitons have a sonic point that separates traffic flow into upstream and downstream components. Communication of the cause of the jamiton to drivers it the downstream segment of traffic is impossible say the researchers.

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RE: The source is pretty simple really
By UNHchabo on 6/10/2009 4:36:50 PM , Rating: 2
quote:
Here is an idea how about you follow at the correct distance let the people merge, and within a half mile or so spacing should be back to normal.

When I lived in New Hampshire, this is what I believed.

In California, if you leave more than 6 feet of following distance, you will be cut off, causing you to slam on your brakes. The only way for traffic to flow at a consistent speed on California highways is for everyone to tailgate everyone else. I don't like it, but that's how it is.

By Spuke on 6/10/2009 6:34:24 PM , Rating: 2
I agree here. In CA traffic, any gaps are just filled in by other cars. I don't tailgate but it seems that any space larger than a car length is filled in. Mind you, this usually occurs at slow speeds but you need to be ready to brake. Because traffic brakes pretty heavy out here.

By Mojo the Monkey on 6/10/2009 6:46:38 PM , Rating: 2
Absolutely true. The rules are different in Southern California, as I am sure is true for various other localities. When I drive in Northern CA, I look around in bewilderment about how calmly everyone is driving.

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