Chaos and Your Everyday Traffic Jam
An anonymous reader writes "What causes these mysterious traffic jams that continually appear throughout the day for no reason whatsoever? Is it simply the fact that most people just don't have a clue how to drive? That's very possible, and in reality there are so many variables involved in something like a traffic jam. But is it possible that the entire traffic jam could be both the continuing and end result of a chain reaction set in motion by a single driver who was in too much of a hurry?"
From TFA:
I like the idea of a single blameworthy agent to bear the brunt of my hideous imprecations: a Christ of traffic, if you will; except I'm the Romans, and it's Mel Gibson's Passion all over again.
Only three comments and already the site seems to have been totally jammed up by a single Slashdot article in too much of a hurry.
"What causes these mysterious traffic jams that continually appear throughout the day for no reason whatsoever?
Too many cars?
it's a blue bright blue Saturday hey hey
There's actually a field of study for this: Traffic Analysis. Of course, this is not to be confused with all of the material out there relating to internet/network/packet analysis.
This mainly deals with optimizing freeways and the like, based on people's behavior in traffic, and the ripple affects.
The troll with karma.
With Ethernet, as the 'traffic' builds to about 40% of the theoretical capacity, collisions become the norm and the re-tries start to overwhealm the system and it locks. With roadways, as the traffic builds to a certain limit, then awareness of potential collisions magnifies in the drivers, so reactions to situations increases and the road stalls. This is why variable speed limits work, because the road and drivers can cope with more vehicles if there is a lower maximum speed.
rgds,
Richard Rothwell
"All that is required for evil to triumph is that the good keep silent"
I fly light planes. Major roads, when VFR, are very good landmarks.
... then the drivers behind (probably following far too close) brake a bit harder, and the drivers behind them brake a bit harder still. The adjacent lanes, in seeing one lane suddenly slow go 'whoa', and someone also brakes in that lane. Pretty soon, just from one person braking a little bit - the braking has propagated down the road with greater and greater severity until one of two things happens: usually, the traffic comes to a standstill, and you get a self-sustaining standing wave of stopped traffic until the amount of traffic on the road reduces to the extent there are fewer cars joining the wave than are leaving. This can take HOURS, especially on the M6 in England. The second thing that may happen in this cascading braking severity is that someone runs into the back of the other. Then chaos ensues for most of the day.
Quite often when it is very busy, you can see a standing wave in the traffic - there's an area where all the cars are stopped - but there is NO obstruction at all. The cars are filling the 'standing wave' from the back as quickly as cars at the front are leaving it - so it becomes self-sustaining.
When the road is full to capacity, moving at 70 mph, all it takes is one person to jab their brakes
The other problem is lorries (large trucks) overtaking lorries with a speed differential of 0.5 mph. It takes them several minutes to get past because they are both speed limited within 0.5 mph of each other, meaning the inside two lanes are 56mph, and the outside lane is 70mph+. When a frustrated driver pulls out into the outside lane after being stuck behind a lorry for "too long", they cause one of the outside lane drivers to brake down to 56 mph quite suddenly. This can easily get the 'braking cascade' started, and before you know it - you have a standing wave traffic jam with no actual obstruction (other than the standing wave itself).
Usually then what happens, is the opposite direction traffic, seeing the stoppage rubber necks for the possible accident. An inattentive driver looking at the other side of the road finally looks back in front and realises he's about to ram a truck in the rear and slams on the brakes. The driver behind him following far to closely has to brake even harder - and there's either a shunt or if they are lucky, ANOTHER standing wave traffic jam starts on this side of the road too.
It's fascinating to watch from the air. Frustrating to be in when driving.
Oolite: Elite-like game. For Mac, Linux and Windows
Reduce, reuse, cycle
I have lived in the cities with the worst drivers and the worst traffic and I have seen it time and time again; it's the slow dumbasses that are the real cause of majority of wrecks. It's that asshole who is going 50 in the passing lane and won't move. Or the driver is just going so slow that normal traffic rams into him, or is slowed town greatly.
The people with really fast cars generally drive very well. After all, they don't want to smash up their fancy car.
It's the assholes who don't care that they clogging up the passing lane who really are the cause of most accidents and traffic slowdown.
Oh, I have noticed that traffic patterns and behaviors do vary by location. For instance in New Orleans (pre-katrina) the drivers were extremely agressive and would not let you in no matter what and pretty much there could be aliens landing on the side of the road and nobody would care or slow down. In L.A. the 405 would be backed up forever only to find out that it was slowed down because of ONE car broke down in the emergency lane, with no accident; everyone was slowing down in response to this one car on the side of the road. In San Antonio, TX, everyone is on crack and drives a Ford F450 Dually 100mph, everywhere. Not usually a problem, but the entire city of San Antonio is being redone road wise and it creates choke points almost instantly that can't be foreseen.
"Jeremy, you need to get to an internet cafe and cut and paste some appropriate sentiments about me from the world wide
Isn't it fairly obvious why we get traffic jam?
The only way to get consistent traffic throughput is to have cars that maintain the same speed at all times, do not switch lanes and do not turn left or right at all.
Since all drivers have different destinations, driving techniques, cars and intentions, it is impossible to achieve this. Someone's gonna change to the other lane, delaying the people behind him who have intentions to delay the traffic in some other way, which eventually triggers traffic jam. It's a gigantic chain reaction, really.
Full Tilt
This is why when in a jam the best thing for people to do is calm down and change their speed slowly to even out the speed. This means trying to predict the average speed ahead of you and do your best to maintain an even speed, even if slow. Yes, impatient drivers will move in in front of you, but they are also most likely to jump back out of in front of you in a bit too. Getting next to a truck doing the same thing helps. Pressing out the waves is what will get traffic moving again for those behind you.
The previous theory I heard about in a documentary about traffic in major cities, said that density waves, the same phenomenon that causes many galaxies to have perfectly defined spiral arms, also cause traffic jams, which is to say, the mathematics are the same.
As a sidenote, I once read an anecdotal story about a guy who always got stuck in the road while driving home from work, and one day he thought about how everybody's trying to get home fast yet everybody gets stuck in traffic, so he decided to experiment by driving a bit slower. After a few minutes he was amazed to find how the traffic behind him was neat and orderly, instead of the usual jumble, which implies (I emphasize: anecdotally) that the behaviour of a single car can not only create, but also avoid the creation of density waves.
Lil' Thindime, lilting a lacrimose lament, krashes the kwaint konfines of Kokonino Kounty
It's not the waiting that's so troublesome about a traffic jam, nor is the fact your boss will be very angry about you being 3 days late for work. It's the seeing other people's weird-car-habbits that's truely painful.
Luckly there are a few ways to make it less painful:
1) Bring your wife. Get her head in your lap. Remember to "read" a map or newspaper at the proper time. Nobody wants to see your face at that particular moment.
2) Bring your kids! Yelling and screaming is very good to get oxygen in your system and the kicking might actually get your lower back pain to disappear. People tend to pay a lot for such a massage.
3) Portable TV! Makes your waiting in the jam a painless affair. Might, ofcourse, make you the cause of the next traffic jam.
4) Laptops! Pass the network cable from car to car and have a mobile LAN-party!
5) Cellphone: Ask the number of other people in the jam and have conversations. Now you can ask what the h*ll he was thinking and discuss why he should stay the f*ck on his lane.
6) music intruments! They call it jammin' right?
7) Mexican wave
8) strip poker with car parts! A El Cheapo car with the hood of a ferrari, now wouldn't that rock?
9) Bring candy and beer! Instant party! Would suck if you're picked to be the sober driver. Thought bringing drunk friends home was bad? Think how bringing 12,000 drunk strangers home would be like.
10) Disassemble your car, climb over the fence, down to the street below with as many part as you can carry. repeat as necessary. reassemble the car. Takes some time, but you'll be home quicker anyway.
For the longest time a friend and I have theorized about the reasons for those traffic jams. We've reached the inescapable conclusion that they are the results of a conspiracy.
Don't go your heads a-shaking now. It's really obvious. The oil companies make a bundle of those traffic jams. Every day just before rush hour a small fleet of inconspicuous unmarked vehicles, driven by selected elderly, are leashed upon the major freeways. They are trained to drive in such a pattern that makes it impossible for other cars to bypass them. Soon enough the traffic jam forms. Millions of cars are burning precious fuel while standing still, and the oil barons go cha-ching.
Denying it doesn't make it go away.
-- Arik
See this Science Hobbyist article from January 1998. It's long and detailed, and suggests practical steps individual drivers can take for breaking up (or causing!) traffic jams. Yes, dear readers, this is a nine-year-old dupe.
This post expresses my opinion, not that of my employer. And yes, IAAL.
I can testify that this is not the most popular reason of traffic jam, because this is not the most common disruptive behavior. Think: why the situation was happening? It is not because just one driver wanted to change the lane, this is because many drivers wanted to do that and one of them was too impatient. That takes off the load of one individual and brings it upon the condition of why the lane was slow?
Most likely the lane was slower because (a) there was a high-inertia-mass truck in front of you or (b) sloppy driver (undercaffeinated, grandma, or just plain unexperienced driver).
This condition could not be helped. The critical condition of the stand-still or bumper-to-bumper traffic jam is caused by concentration of cars increasing certain threshold level. The main factor in this criticality is the distance between cars. How many of us actually follow three-second rule? The tail-gating leads to the high probability of the scenario when the car in front of you breaks and you will be forced to break with the HIGHER deceleration. That leads to lesser control of the final steady speed achieved at the end of the process of deceleration. Needless to say that the chain reaction will continue all the way back with increasing decelaration and decreasing final speeds of deceleration.
The solution to the traffic jam problem is trying to smooth traffic even at very low speeds. To do that we need stricter laws regulating tailgating. It needs to be automatic, the cars should be equipped with automatic sensors, all the entrances to the freeways/highways should be regulated by traffic lights.
Again: the problem with traffic jam is the criticality at certain speed. The only way to lessen this criticality is to increase distance between cars.
The other good way of easing traffic jams is complete abandonment of upper speed limit. That will increase the efficency of the traffic arteries.
Together, tougher tailgating regulation and absence of speed limit, will help the traffic jam situation in the country.
I do not believe in karma. "Funny"=-6. Do good and forbid evil. Yours, Oft-Offtopic Flamebaiting Troll.
The two-second gap is typically recommended for 70 MPH speeds. It is dramatically smaller for lower speeds. It is also completely unrealistic at any speed. A two-second gap at 70 MPH is about 315 feet, or about 24 car lengths. At 70 MPH the assumption is that the average person requires about 2/5th of a second to react, which equates to just under 70 feet. That leaves 247 feet for braking. The NHSTA pegs the average 70 MPH braking distance for modern cars around 170 feet. I personally suspect it's much lower these days, and with panic braking plus ABS it would be far, far lower. But give them the benefit of the doubt (though god only knows why) and call it 160 feet. That leaves you 87 feet, so the two-second gap is overly conservative by a factor of about 25%.
... 16 cars per mile and the highway would look positively empty.
BUT -- and here is where it gets stupid for real-world conditions -- that braking scenario assumes that you must stop within that two-second gap. Think about this: the only way that would matter is if there is an immobile object two seconds ahead of you. You're driving along, then mysteriously, 315 feet in front of you, something is stopped dead. What are the actual chances of this happening to any responsible, alert driver doing 70 MPH? Very small. In fact what will happen is that the car ahead begins to slow, and you burn your 0.4 second reaction time (which I also think is unrealistically high), then you begin to slow in concert with the car ahead. It is obviously impossible to derive any specific numbers for the rates at which this happens as they'll be random, but it certainly doesn't equate to a 70MPH-to-zero panic stop in a limited space.
In any case, his figure of 120 cars per minute is probably a lot closer to reality than anything provided for by the 2-second rule, which is a 24-car-length gap -- have you ever seen a busy highway where anyone was maintaining a 24-car-length gap? Would it even be possible to actually estimate and maintain this at 70 MPH? That's about 1/16th of a mile
Slashdot quality declines as the number of hot grits posts decreases. - Provolt's Law, Apr-09-2005
...light rail is working in Los Angeles. What's the fastest way to get Downtown? The Red Line. 30 minutes from NoHo to Union Station. Un-freaking-believable.
This is why when the price of gas went up, and people actually tried the Red Line and Metrolink and other parts of our old/new (most of the right-of-ways are old Pacific Electric right-of-ways) light rail infrastructure, people started talking about how nice it would be to have the Wilshire spur of the Red Line finally take its intended trip to Santa Monica. The Expo Line between USC and Culver City (with an extension to Venice on the drawing board) is being built now. It links with the oldest of our light rail lines, the Blue Line, which goes down the Alameda corridor through some of the nastiest neighborhoods in LA. And yet: the Blue Line gets a lot of use. Why? It's the easiest way to get to Long Beach.
We have our ill-advised lines too: the Green Line which boneheadedly does not go all the way to LAX, and the Gold Line which is a good route into Pasadena from Downtown but is slowed to a crawl by nervous NIMBYs who don't have the good sense to tell their kids to GIVE RAILROAD RIGHT-OF-WAYS A WIDE BERTH. "Oh, those Blue Line trains go so fast and we see lots of people killed on the 6:00 news...oh please, City Councilperson, make 'em run the trains at 15 miles per hour in our neighborhood!" Dumbasses. You can't outrun a train, either on foot or in your freaking car. Grow a freaking brain.
We need light rail. It made sense when they put the Pacific Electric in back in the day, and it makes even more sense now. With Peak Oil on the horizon it's time. When gasoline hits $5 a gallon maybe even the NIMBYs will have a nice warm cup of STFU and get on board.
Knowledge is power. Knowledge shared is power multiplied.
You were unfairly modded as a Troll, but you're absolutely right. I especially enjoyed the technical-looking but uncaptioned and completely-ignored graphics which accompanied the article.
Slashdot quality declines as the number of hot grits posts decreases. - Provolt's Law, Apr-09-2005
Different issue.
The SUV driver should have at least touched the break to clue in those behind. That he didn't is deserving of having his driver's license taken away.
This has nothing to do with car separation. It just so happens that an idiotic separation of hundreds of feet would have helped in this case.
People who drive feeling as though they are _moving through traffic_ are what causes problems.
You should drive _with_ traffic, be a _part of traffic_. There are no individuals in traffic - we are all one whole. The Traffic.
Drive with this in mind, and you'll increase your driving skill by orders of magnitude.
(Of course none of this _really_ matters even if it is the truth, because of all the other individuals considering themselves the most important pricks in traffic / the universe...)
(And yes, this means that I break speed limits whenever moving with traffic requires it. This is a natural conclusion.)
Cheers.
You are way too optimistic. Accidents don't happen when drivers are paying attention to what they are doing. Even when you aren't paying attention, most of the time nothing happens. Most accidents are the result of failing to plan for the worst case, which every now and then it does happen.
the assumption is that the average person requires about 2/5th of a second to react,
That's very fast. Reaction to an unexpected event is 0.5-1 second. Most safety studies put 1 second as the reaction time.
What are the actual chances of this happening to any responsible, alert driver doing 70 MPH?
Responsible and alert drivers are the minority. Rules are made for everyone, so they take into account the fact that people is chatting with passengers, looking at the mountain on the left, thinking about their children, and so on. When you factor in the boringness of a long drive and all the possible distractions, even 1 second may be too low.
You need to plan for the worst case, not for the best.
In our area, there is a twice-daily traffic jam that has been understood for years, but fixing the road to take away the problem would be ungodly expensive.
There is, actually, nothing technically wrong with the road. The road in question is I-87 (the Northway), and the pinch point is where it crosses the Mohawk river. The Twin Bridges have a slightly narrower shoulder than the highway leading up to them in either direction, but the shoulder, on both sides of each bridge, is still every bit as wide as any of the three lanes going in either direction.
Compounding the problem is that the bridges are (hope this is the right term) truss bridges. There are two convex bowed beams that go over each side of each bridge, and a construct of triangular trusses between them. These are the reason why a change would be ungodly expensive, because you would have to rebuild the bridges.
Anyway, people come to the bridges and slow down because they perceive that the road has gotten narrower, while failing to perceive that this fact is irrelevant. This slowing down leads to the accordion effect that was described in TFA, where successive cars have to apply more and more braking in order not to hit the car in front of them. By the time you are a mile north of the bridge in the mornings (south in evenings), traffic is basically stopped.
The construct that causes all of this trouble can be seen here (along with some Google wierdness in the construction of the image).
www.wavefront-av.com
If we planned for the worst case, driving would be illegal. :)
Slashdot quality declines as the number of hot grits posts decreases. - Provolt's Law, Apr-09-2005
Everybody is busy pointing out the "first causes" of traffic jams without noticing that every one of these causes is caused by interaction with the roads in the first place.
The real "first cause" of traffic jams is differences in driving decisions and style. If everyone drove at 120mph, or everyone drove a 30mph, or everyone could anticipate exactly what the other driver would do before they did it, and adjust accordingly in advance, there would be no traffic jams.
Traffic jams happen because one guy is driving 45 mph thinking "look at all these damn idiots driving too fast for this weather and this level of congestion, well not me, I'm a good driver" and the guy behind him steps on the gas and passes at 80 mph thinking "look at all these damn idiots impeding the flow of traffic, well not me, I'm going to pass so that others behind me can pass afterward" and the guy in the next lane over is thinking "jesus, look at these idiotic fast and slow drivers passing each other and holding up traffic, I'm going to stay in my lane and not accommodate any of them or let them use my lane to pass, since they're all rotten-ass drivers."
It's the conflicting intentions and behaviors in similar situations that lead to brake-slamming, passing, swerving, wrecks, and the other causes of the density patterns that characterize traffic jams.
STOP . AMERICA . NOW
I also notice that the cyclists tend to take a rather liberal view of their obligation to obey traffic control devices. If you scaled the available road space down and traffic levels up, cyclists would have just as much trouble. The only reason they don't is because we build roads for cars, then we allow bicycles to use them.
Slashdot quality declines as the number of hot grits posts decreases. - Provolt's Law, Apr-09-2005
Your numbers are a bit screwy. 70mph = 102.67fps, so a 2-second gap is about 205ft.
Nice find.
So a 2 second gap is 205 feet.
2/5ths of a second then equates to 41 feet.
That leaves 205 - 41 = 164 feet left to stop, which is 6 feet less than the number cited for the average modern vehicle to stop. So the two second rule is deficient by about 3.5% for the average modern vehicle.
On a side note, modern isn't exactly defined, but I don't think my '87 station wagon (with no ABS) qualifies.
You have obviously never driven on 880 through the East Bay between 6am and 8pm.
In my opinion you can frequently blame random mass panic stops on on guy who's already home snacking and watching the tube, because the guy to blame is an idiot traffic engineer that works for the state, and they get to go home at 3:30pm.
Seriously..
In all the years I've driven I've decided that traffic flow is analagous to a special case of internal compressible flow. That is the mechanical engineering way to say it's like supersonic air flow in a pipe. The special case is that there is no friction with the walls of the pipe and that the pipe is very small in diameter. When traffic is at a sufficient density and speed, a constriction, or obsruction can cause a shock to occur. On one side of the shock traffic is "supersonic," on the other side it's crawling along, and at the shock everyone is standing on their brakes hoping they won't get rear ended by that idtiot in the SUV with the cell phone and starbucks. Shocks can be static. This tends to occur when there is no change in total mass flow rate across the shock. A moving shock occurs when there is a change in mass flow across the shock. If total trafic flow rate is slower downstream of a shock then the shock will move backward through traffic until it reaches an equilibrium point. Sometimes you get a bad phenomena that I call cascading shocks. That's when some constriction causes a shock for just a moment. That shock, if the traffic is of sufficient density and speed, travels backwards through traffic, but since the source is temporary, or periodic, traffic accelerates again (since gas flows don't accelerate on thier own, that is where the analogy breaks down). Then the disturbance occurs again and another shock starts moving backwards through traffic. One example of this that I can think of is on 880 south approaching the San Mateo Bridge turn off. 880 tends to be very fast and very high density. There is a carpool lane. Frequently a jerk waits as long as possible in the carpool lane before frantically changing across all the lanes to exit to the Bridge. This causes a moving shock, and so does the next jerk... This is why on that freeway everybody will be doing 70 one moment and the next everyone is standing on their brakes, hoping the sphincter will hold. A moment later everyone is going 70 again, and sure enough here comes another panic stop.
So clearly in flow that has a critcal density and speed, any sufficiently large perterbation can cause a traffic slowdown. Chaotic effects clearly come into play.
-- QED
Actually, it's the fault of the moron that left his car in the road, most times. I've never figured out why a car is left in the lane, especially in an open road. I've seen this more than once, and almost hit an abandoned car in the left lane once with a perfectly available shoulder right next to it.
I've also been in an accident exactly like this - the van in front of me moved right - voila - about a 5 mph pickup in left lane, 18 wheeler right next to me - 55 mph smashup. It was a pretty hefty wreck, threw the pickup about 300 feet, totalled both vehicles. I was not found at fault, since it was a 55 mph road with no turns at that point, and pickup was moving far below stated and reasonable speeds. (FYI: No one was hurt in any meaningful way)
I've driven in the US, Canada, Mexico and a large segment of Europe, and by far, the best freeway drivers are in Europe. They drive right most of the time, trucks are limited to right lane(s) only and a max of 50 mph through large segments of freeway, and in general are far more considerate than the embecilic god-given left-lane road hogs in the US. (Then again, failure to drive right in Europe can result in incredibly horrible accidents - a mercedes plowing into a BMW launched over an Opel hatchback at a 100mph speed differential is not a sight you want to see. The Opel pulled into the left lane just in front of the BMW.)
Your largest problem on crowded US roads are trucks. Their braking/speedup times are significantly slower than cars, and will cause massive accordian effects the first time they brake. Move them to the right and limit their speed and following distances, and entire problem segments will dissappear. It may slow overall traffic but it will be a steady pace, which will be much faster than the accordian stops otherwise always experienced.
The cesspool just got a check and balance.
Of course if everybody would just make space and bread-n-butter'd at the merge point like they're supposed to, I wouldn't have to go to all that trouble. But hey, it works. Neither me, nor neither of the people in the slow lane next to me have to come to a complete stop. And as for that honker behind me, he's only four or five cars behind where he wanted to be. What is that, like 20 seconds of travel time? Small price to pay for good flow, if you ask me.
BTW, I got the idea from watching how truckers do the same thing at a lane closure. I noticed that the fastest I ever got through the ship channel bridge was when two trucks drove side by side right up to the merge point, and then the one just hit the gas a bit and got ahead of the other. Nobody slowed down, and everybody pretty much got the point that there was no way to get around these guys. Sure we never went really fast, but we never stopped either.
Even this isn't foolproof though. Some idiot actually jumped a curb just to get around me. And you know what? When it came time for her to merge, nobody let her in until about one car ahead of me. Gee, she really got far! Idiot. And then there was another guy who was behind me, got in the merge lane, went over one more lane (causing much honking and screeching of brakes) and then got back in the merge lane where I was going to go just so he could continue giving me the finger. No bother. Just slow down a little more and take the next spot back.