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Mathematicians Solve the Mystery of Traffic Jams

mlimber writes "Do you ever find yourself in a traffic jam, thinking, 'Man, there must be a bad accident up ahead,' but as you plod along you see no evidence of any crash? Some mathematicians have solved the mystery by developing a mathematical model that shows how one driver hitting the brakes a little too hard can cascade into a backup miles behind. The mathematicians' future research will investigate how automatic braking systems may alleviate the problem."

11 of 629 comments (clear)

  1. Old news by Hatta · · Score: 5, Informative

    This has been known for years.

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    1. Re:Old news by orclevegam · · Score: 5, Informative

      It is kind of like the Slinky effect, where you send a pulse down it and it rebounds. Car stops ahead and the cars behind begin breaking, and this begins a chain reaction... I'd love to catch this in the act at night and film the tail-lights lighting up in sequence. The term you're looking for is standing wave. The problem isn't actually the breaking, it's everyone not giving enough room between themselves and the person ahead of them to absorb small slowdowns. The time between when you slow down and accelerate back up to speed needs to be factored in. If the people coming into the jam are entering faster than people can accelerate out of the jam, it will either remain static or become worse.
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    2. Re:Old news by cyphercell · · Score: 5, Interesting

      sounds good to me, the solution I've always driven for (no pun intended), is to slow down at traffic jams to the point where you can plod along without actually stopping. This does a good job of equalizing the in/out ratio. I wonder why this isn't taught in driver's ed.

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    3. Re:Old news by Spy+der+Mann · · Score: 5, Insightful

      The problem isn't actually the breaking, it's everyone not giving enough room between themselves and the person ahead of them to absorb small slowdowns.

      Yeah, but when you start giving enough room between you and the car ahead, an idiot besides you speeds up and steals your place :-/

      Conclusion: Traffic jams are caused by idiots.
    4. Re:Old news by Scrameustache · · Score: 5, Insightful

      The problem isn't actually the breaking, it's everyone not giving enough room between themselves and the person ahead of them to absorb small slowdowns.

      Yeah, but when you start giving enough room between you and the car ahead, an idiot besides you speeds up and steals your place :-/

      Conclusion: Traffic jams are caused by idiots. Well of course, that's because it's a race, they HAVE to be in front of you, they HAVE to get to the next red light before you.
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  2. Re:Einstein by MyLongNickName · · Score: 5, Insightful

    Not necessarily stupidity. if I can see past the driver in front of me, I can make a better decision. I can see that he is simply adjusting speed to allow for a more reasonable space between him and the car in front. If I am stuck behind an SUV in my car, then I am not sure if his tap on the brake is about to turn into a full fledged stomp of the brakes, and I have to adjust, and possible harder that I need to. This becomes a cascading event.

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  3. Bad drivers = traffic jams by stewbacca · · Score: 5, Insightful
    I'm with the rest of you. This is hardly a revelation. At Texas Motor Speedway, during a NASCAR weekend with 225,000 fans trying to leave, a person stopping for three seconds causes a 20-minute delay to the last car in line. Until they fixed the number of exits flowing back out to I-35, it usually took 3-4 hours to get out of the parking lot.

    Another cause for bad traffic is the ridiculously easy driving test we have in the States. Couple that with law-enforcement only ticketing speeders instead of bad drivers in general, and you get the traffic we have in most of our cities. I also hate how all accidents are chalked up to "failure to control speed", which makes it sound as if speeding were the main cause of all accidents. In reality, failure-to-yield is overwhelmingly the #1 cause of collision accidents, not speed. But the revenue hungry cops would rather sit on their motorcycles with radar guns than actually pull people over for changing 5 lanes at once, or cutting off other drivers by pulling out in front of them and then NOT accelating.

    Not to mention, hell will freeze over before they ever ticket a slow driver in the left lane.

  4. Re:Einstein by PitaBred · · Score: 5, Insightful

    Apparently, a lot of people think that their vehicles only have "stop" and "go" modes, without multiple different levels of coasting and slowing down without the brakes for those minor adjustments. I'll take my car out of overdrive quite often to adjust just a bit, rather than hitting the brakes needlessly. That way when I hit my brakes, I actually mean it. Brake lights = slowing down non-trivially. I wish more people did that.

  5. Re:Cover Job by jargon82 · · Score: 5, Informative

    They are also behind LAST years mathematicians. Although by a bit shy of a year. http://science.slashdot.org/article.pl?sid=06/12/27/0350218

  6. Re:In other news.... by kelnos · · Score: 5, Insightful

    I tend to do this during heavy traffic. I drive a manual, and shifting in and out of gear over and over gets old real fast. The trick is just to not care. It's hard, I know. Give yourself more than 2 seconds. I tend to go by car lengths, just because traffic conditions vary. In slow traffic (5-25 mph) I'll try to maintain a 10-car-length space or so. This doesn't mean I'm constantly braking and accelerating; if I wanted to do that, I'd just tailgate the guy in front of me like everyone else. If someone cuts in in front of you, let them. They're probably just going to speed up and slam on their brakes when they get to the car in front of you. You can slightly adjust your speed by releasing the gas pedal a little to maintain your space. There's no real hurry -- you have 9 car lengths worth of time to do this. If traffic is heavy and slow enough, you end up with people to the right and left (and behind) you who aren't "cheaters," and people tend to stop cutting in front of you so much. But even if they do, the magic phrase is: "who cares?"

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  7. Untapped potential of braking expressiveness by GPS+Pilot · · Score: 5, Interesting

    Part of the problem is that brake lights themselves only have "on" and "off" modes. They could be designed to convey so much more information than that, by utilizing the entire spectrum ranging from:

    Brake lights glowing dimly: indicates the car is decelerating slightly. (And not necessarily due to active braking by the driver. Perhaps the driver has merely begun to coast, or does not have the accelerator sufficiently depressed while driving up a steep hill. It would be a good idea to communicate these scenarios to other drivers too.)

    Very bright accompanied by a rapidly flashing strobe: indicates the car is braking maximally; antilock braking system is fully engaged. (At times like this, the car should do everything possible to get the attention of other drivers.)

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