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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: Why do they happen?
By inighthawki on 6/10/2009 11:33:43 AM , Rating: 5
What happens is that a car will step on a brake, and any good driver behind them, especially on the freeway, wants to make sure they also slow down to a point less than or equal to the speed of the car in front. More often than not it will be less then, in which case the cars behind that car also brake, and we have something of a chaos effect going here. A small step on the brake can eventually lad to a huge traffic jam.

RE: Why do they happen?
By arazok on 6/10/2009 1:52:16 PM , Rating: 2
I read a study a while ago regarding the impact of adaptive cruise control on traffic congestion, and the authors determined that if only 20% of cars utilized it, then traffic congestions would be cut in half.

These are cruise control systems that will slowdown automatically if another car is in the way, then accelerate again when if moves.

It’s funny how governments focus on MPG, biofuels, and expensive hybrid technology as a solution for our environmental problems – but if they simply mandated an existing and (somewhat) cheap technology be installed in every car we could reap benefits far in excess of these solutions.

"We don't know how to make a $500 computer that's not a piece of junk." -- Apple CEO Steve Jobs

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