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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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Peter's problem
By WinstonSmith on 6/10/2009 11:52:30 AM , Rating: 0
The specific problem that Peter in "Office Space" is having in the still photo shown above is one that's very easy to figure out, but apparently not easy enough for most drivers who regularly act like apes with car keys. As people pull out of a slow lane to enter a fast lane, their original lane speeds up and the lane they've moved to slows down. Then they move back to their original lane and _it_ then slows down and the lane they just left speeds up. Gosh, not too hard to figure out what causes that, huh, but people still just don't seem to get it. The lack of the ability of critical thought, the source of so many of our national problems.

"The Space Elevator will be built about 50 years after everyone stops laughing" -- Sir Arthur C. Clarke

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