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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: humans
By Chernobyl68 on 6/10/2009 11:50:35 AM , Rating: 2
not really true. At high speeds, the headway increases, and you while your vehicles are travelling faster, there is more space needed between them.

2400 vehicles per hour per lane is about the maximum theoretical capacity of a freeway lane. This volume gets reduced by a host of factors, including:

Truck percentage
driver familiarity
Interchange spacing
lateral clearance
lane width

just to name a few.

RE: humans
By Seemonkeyscanfly on 6/10/2009 3:47:05 PM , Rating: 2
that's only if you want to be safe and live.... :)

RE: humans
By Ratwar on 6/10/2009 7:01:39 PM , Rating: 1
Look, if you want a real world example of why your explanation is... well... bullshit, come drive around Atlanta, GA for awhile. Going ~70 mph with maybe a car length behind you and a car length in front of you is kinda standard.

Going slower may ease traffic on roads that aren't going to be over capacity anyways, but on roads that are already well beyond capacity, they only make the situation worse.

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