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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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By androticus on 6/11/2009 10:42:34 PM , Rating: 2
The product that private road owners would be selling is drive quality -- if you are sitting on a road for an hour whose trip time at road speed is actually 10 minutes then you are basically selling nothing. It is the fact that there is a government monopoly on roads that leads to the chronic shortage of road capacity -- how come things in the private sector never suffer permanent chronic shortages like this?

And smarmy sneering cynical economics professors tell us that the government has to create government owned or controlled monopolies on "natural monopoly" resources like roads in order to... wait for it... protect us from what they claim would be the "natural monopolies" that would arise in the private sector.

Echoes of the EU saying they have to remove the web browser from Windows so consumers are protected and given choice.

GOVERNMENT OUT OF THE ECONOMY!!!!

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