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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 Spuke on 6/11/2009 12:13:29 PM , Rating: 2
quote:
It is not the fault of someone driving too1 slow if they get rear-ended by someone else.
I rear ended someone once when the traffic in my lane (right lane) suddenly stopped (panic braking). I swerved into the open left lane to avoid hitting the person AND to avoid the person behind me (too close) in front of me only to smack into a person stopped in the left lane who was trying to make a RIGHT turn!!!. This person caused the panic braking in the right lane. Who's fault was it? Mine AND the person I hit.


By mindless1 on 6/12/2009 1:45:09 AM , Rating: 2
NO!

If traffic in your lane slowed down and you could not slow down enough to STAY IN YOUR OWN LANE because of the speed and distance you chose, you are 100% AT FAULT.

This is FACT. It is taught in driver's school, is on driving exams, and is a point of law.


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