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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 bhieb on 6/10/2009 12:16:25 PM , Rating: 2
quote:
Of course traffic jams are another situation, but when speeds are approaching 60+ MPH you have absolutely no excuse.


The whole point here is in jams or heavy traffic. And even at 60+ in heavy traffic the OP was saying it was the mergers fault. Assuming that there is no available "gap" then the bad driver here is not the guy trying to merge at speed, but the guy not following far enough back. A parking space worth of space at 60+ is too close. If a guy is coming on the ramp at speed and you refuse to let give him a 1/2 second release of the gas, then you are the one forcing the cut off. If he slams into you of course legally he was supposed to yield, but every class/book/teacher out there says you should make room if possible.


RE: The source is pretty simple really
By omnicronx on 6/10/09, Rating: 0
By omnicronx on 6/10/2009 12:48:47 PM , Rating: 1
And please do not bring 'How do I merge when there is a traffic Jam then, if nobody will let me in?' as this is beyond the scope of this study. It has nothing to do with traffic jams that have already occurred but the little things that occur before that could create or make traffic worse than it has to be down the line.


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