Anatomy of a Traffic Jam

I’ve just spent far far too long doing these two illus­tra­tions. The first shows a traffic jam that’s a prob­lem, caused by people not using up all the road. The second shows what hap­pens if the two self appoin­ted guard­i­ans of the road move up a little, don’t block people, and if other road users don’t all try and keep to the left.

Basic­ally, dur­ing busy peri­ods, it’s much much bet­ter if people use all of the road. Yet in Bri­tain it’s a com­mon scene to see a mile of empty right-hand-lane prior to road­works. Con­sequently the traffic jam is far longer than it needs to be and, in many cases, the jam will go far enough back that it blocks a junc­tion — caus­ing a lot of people extra delays and frustration.

So let’s all try and help oth­ers on not by obsess­ively queueing politely in traffic jams, but by using as much of the road as possible.

Anatomy of a traffic jam, part one of two

Anatomy of a traffic jam, part two of two

Foot­notes

Since the page went up I’ve been made aware of the fol­low­ing two links which are very inter­est­ing and have anim­a­tions of some traffic problems:

Wave motions and how to pre­vent them
How increased spa­cing helps improve merging

Thanks to brang­don @ cix for those.

I’ve res­ized the images slightly in the browser to help them fit bet­ter on this theme.  If you want to view them full size or in bet­ter qual­ity, right click (or do whatever Mac own­ers do) on the image and click ‘view image’ to see the full unadul­ter­ated version.

I’ve also added this post to the Cam­paign for Think­ing… just because

Comments
  • Parrot

    Well said mate.

  • Jim

    Nicely put. Also, it’s often the case that they advert­ise a lane clos­ure but haven’t yet put out the cones. If you stay in the out­side lane longer you will dis­cover this and can mer­rily give the queuing traffic the fin­ger as you speed on by.

  • teedyay

    Quite.

    The high­way code expli­citly says you should queue in both lanes and merge at the last opportunity.

    Hamtouch­ers.

  • Danny Bentham

    Ay up Dave. I did my Bach­el­ors Dis­ser­ta­tion on Traffic Man­age­ment for the Future with the idea being to assess the feas­ib­il­ity of using wire­less LAN and Kal­man filtering/stereo vision/collision avoid­ance meth­ods for cars to autonom­ously guide them­selves by com­mu­nic­at­ing with vehicles in a radius of X. It turned out to be one big lit review in the end and I never had any money/time to build a small scale vehicle. Whilst read­ing around, I found a chap who did some mod­el­ling work using Cel­lu­lar Auto­mata to sim­u­late traffic flows. Might be worth Googling that on your lunch break one day and see what you can find.

  • Hi dave. Nice images. inter­est­ing read thanks for that. ive just come across your site. Brings back memor­ies of the dis­ser­ta­tion i did on the phys­ics of traffic jams… heres the link if you want to add it to your site or just to have a read http://www.cactusconnects.co.uk/physics_of_traffic_jams.htm

  • nick

    traffic in example 1 will actu­ally get the traffic through the lane clos­ure zone faster.

    example 2, causes unne­ces­sary traffic backups due to the fact that drivers must take turns enter­ing the lane clos­ure which adds extra time.

  • nathan

    Well done bro.

  • Ruth

    Hello, how are u? Thank’s for inter­est­ing web­site, which will help me to write Mas­ter dis­ser­ta­tion. May u have more ideas? :) how elim­in­ate traffic conventions? :)

    • Hi Ruth — whatever you use of mine in your mas­ters, be care­ful! I’m not qual­i­fied in the sub­ject and this is all just my own theory!

  • John

    Agree with Nick. Sorry, this is not always cor­rect. It depends on over­all traffic rate of flow.

    If traffic is not com­ing along that quickly, example 1 can begin to clear the jam, and if people heed “merge left” signs a mile back, the traffic can resume its nor­mal flow, so NO ONE is at a stand­still. Why else do many merges have signs put up in advance warn­ing motor­ists that a lane will end? If the best policy is always to merge at the last pos­sible moment, why warn any­one?? The reason is that mer­ging early will pre­vent a jam, and if the input is slow enough, it will clear a jam more quickly.

    On the other hand, the delay caused by “tak­ing turns” at the merge in example 2 can cause the jam to propag­ate for hours.

    Of course, this breaks down if the input flow gets too high. In that case, motor­ists would have to merge into one lane too far back to be feas­ible, and any rogue motor­ist who doesn’t merge early enough or causes unanti­cip­ated brak­ing will res­ult in a jam.

    Over­all, if the jam is GROWING back­ward stead­ily, yes, it’s bet­ter policy to use up the road as you sug­gest. If, how­ever, the jam is SHRINKING or rel­at­ively stable, then early mer­gers can help to break up the jam more quickly.

    In my exper­i­ence, people behav­ing as in example 1 is only a prob­lem in cit­ies dur­ing rush hour with lots of on/off ramps close together. Oth­er­wise, bet­ter to behave as in example 1. You, as someone always behav­ing as in example 2, are the one slow­ing down traffic in other cases.

  • Hi John, yes, there are times when early mer­ging is bet­ter than late merging.

    The prob­lem is that it’s really hard to know when is a good time to merge early or late — it’s often counter-intuitive and most drivers simply won’t know when’s best.

    I agree that if the jam is shrink­ing it’s best to start to merge early. My example is based on exper­i­ence of liv­ing in a very densely pop­u­lated part of the UK, which is why it’s biased towards loc­a­tions with lots of on/off ramps — I also agree that in other loc­a­tions there are prob­ably bet­ter strategies.

  • Ruta

    Thank You Dave and John. Yes, maybe in my city, where I live (Vil­nius, LIthuania)…this sim­u­la­tion and the­ory won’t work..But still, I will check it.
    Of course, I’ll use and other the­or­ies and after all invest­ig­a­tion, I’ll choose the best one. :)

  • reddenna

    find the solu­tions for traffic flow in Ban­galore– India

  • John Armstrong

    Every per­son who looks at these two images and listens to them is yet another idiot who makes com­mut­ing hell. Please, just take them down.

    In the first image, people are fly­ing through the bot­tle­neck. This means that the red cars will arrive at their exit faster. In the second image, the “road police” have moved out of the way, and the cheat­ers have clogged the right lane, made 5 red cars reach their exit faster — and are now tak­ing turns at the bot­tle­neck, slow­ing down the entire high­way, and mak­ing the 1000 red cars not in the pic­ture come to a standstill.

    > it’s really hard to know when is a good time to merge early or late

    When there are only 50 cars on the road, and you want to make 5 red cars get to their exit sooner, and make every­one else go slower. So the answer is NEVER. Don’t fol­low this advice. The only thing that mat­ters is the speed of the cars going through the bot­tle­neck. Turn-taking slows this down, don’t let it happen.

    Read http://amasci.com/amateur/traffic/seatraf.html again.

    • John — you do under­stand that I agree with the con­tents of the link you’ve attached?

      Sadly, you’ve largely inval­id­ated your argu­ment by claim­ing that any­one who thinks other than you do is an idiot and a cheater. They aren’t. They just have a dif­fer­ent opinion.

      The key prin­ciple is to make sure that people merge politely, in turn, and not to turn driv­ing into a game where we all feel the need to ‘win’ or that we some­how lose out by let­ting someone come in ahead of us. I fre­quently hap­pen to be in the left hand lane. If someone in the other lane hap­pens to be going more quickly… well, lucky them. Next time it’ll prob­ably be myself that’s going more quickly. Win some, lose some.

      You quite rightly point out that the speed of cars through a bottle-neck is the crit­ical thing in many jams. How­ever, not all cars have to go through that bot­tle­neck. Oth­er­wise the speed of an entire motor­way net­work would be set by its slow­est bot­tle­neck, which clearly isn’t the case. My point is that once flow reaches a cer­tain point any folk who believe they need to block a lane are unwit­tingly mak­ing life worse for other people. If you can show cases where people poli­cing the lane that needs to merge makes things bet­ter then do illus­trate it.

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