Ever wondered why there's a traffic jam on a motorway with no reason?

Man of Honour
Man of Honour
Joined
23 Dec 2002
Posts
10,322
Location
London
Looking to bounce something off you guys.


Ever wondered why you sit in a traffic jam on a motorway for 30mins, then get to the end of the jam, only to see no apparent reason for it?

Well, there is a reason, and the mathematical term is “queue theory”, which I’m not going to detail, but I am going to try to summarise it's implications as simply as possible.



So, here’s the beans:

Imagine a queue of traffic in single lane, all travelling at exactly 70mph. In theory, and assuming ALL cars maintain exactly that speed, they could drive nose to tail with just cm between them. Clearly in many ways, that would be a good thing, for one thing the aerodynamic benefits.


However, we don’t live in a perfect world, and there’s a mass of factors that influence the actual speed of a car, even when it’s trying to maintain 70mph, e.g. driver letting his foot off the throttle, going up an incline, down a hill etc. As such, there will always been minor volatility in the speed of a car, even one trying to maintain a certain speed.

The question then is just how close the vehicles are behind. If we take a scenario of cars running very close together, a speed reduction of a leading vehicle by say 3mph, will result in the car behind to slow not by 3mph, but by probably more. That in turn will pass down the line, potentially to the point where a car 20 vehicles back may end up stopped completely (ah the joys of mathematics). Seen from above, it’s the concertina effect.


The answer is frankly, utterly obvious, don’t maintain “braking distance” or less, maintain a “queue distance”, that no only achieves appropriate braking distance, but includes sufficient space to allow a degree of modulation of speed, without significantly impacting upon the vehicles behind you.


At this point, I’m conscious of how many drivers are going to say, “yeah, but when I do that, people cut in front of me”.

My answer is simple, some will, but nothing like as many as you think or claim. I now normally drive with “queue distances” (QD) and watch how the majority of drivers around me drive around as utter lemmings, far too many nose to tail, and less because they know why, mostly because everyone else does it. Sure, I get the odd driver cut into my QD, but it’s not that often, and typically, they’re the ones insistent on weaving in and out of traffic, and often vacate the space in-front of me within a mile anyway, meaning that it’s not a big deal. More to the point, said “weaver” is going to do it, almost regardless of whether I facilitate him, or drive nose to tail to try to stop him. The only difference being how dangerous is his weaving going to be.


Another example are the drivers who wait until the last few metres before pulling into the queue for the “exit lane” on a motorway.

Now don’t get me wrong, these people drive me nuts too, as I consider it highly impolite for them to think that they’re more important than the rest of us, but again, you are NOT going to stop them by driving nose to tail. They’ll still push into the queue. More to the point, by trying to stop them, they end up stopped in the lane they’re currently in, which backs up all the vehicles in that lane driving normally, and in itself causes a jam.

In short:
  • Use “queue distances”
  • BE POLITE to your fellow drivers. Make distance and allow other vehicles space
  • Don’t feel it’s appropriate to try to retaliate or “police” them. It’s NOT your job, and more importantly, they are NOT the people causing the jam. YOU are by having no queue distance, though they certainly don’t get off for free as they are the catalyst to the issue
Thoughts?
Anyone think that this should be in the highway code?
 
I kinda fell asleep but an observation of mine of which I think is relevant is that as I'm driving along on a motorway/dual carriage way I aim to never touch the brakes... To the point where I can make it home on the outskirts of a town with only the odd dab... It's just so much easier to instead of watching the car in front, watch the one 10 cars in front or whatever and lift off accel. accordingly.
My speed I would dare say fluctuates minimally compared to average. Lorry pulling out? Seen it mate, I've been coasting for half a mile to allow for it :D
 
I kinda fell asleep but an observation of mine of which I think is relevant is that as I'm driving along on a motorway/dual carriage way I aim to never touch the brakes... To the point where I can make it home on the outskirts of a town with only the odd dab... It's just so much easier to instead of watching the car in front, watch the one 10 cars in front or whatever and lift off accel. accordingly.
My speed I would dare say fluctuates minimally compared to average. Lorry pulling out? Seen it mate, I've been coasting for half a mile to allow for it :D

Cool. Sounds like you're already applying "queue distance".
 
There is a lot of traffic because there is a lot of cars and our infrastructure can't cater for it, pretty much all there is to it.

Sounds like you have no understanding of "queue distance".

Thinking about it, the above is NOT what I want to say.
Far more useful is for me to ask how best to explain it, so that it does make sense to you?
 
I thought it was the brake-light effect. Person at front applies brakes (for whatever reason, maybe the snuck up too close to the car ahead, maybe a pigeon, maybe they're stretching for a fart). Car behind sees the red lights and does the same. Theres a delay between one and the other, and the second brakes just that bit harder or longer than the first driver. And it ricochets along the queue of traffic. Bit like a spring or a slinky. And suddenly theres a queue of traffic as everyone has slowed to 40mph with no one knowing why.
 
https://en.wikipedia.org/wiki/Traffic_wave and https://www.youtube.com/watch?v=Suugn-p5C1M

I can remember it was mentioned on QI a few years ago, where they stated the average speed it traveled in the reverse direction along a motorway, something like 15mph seems to ring a bell.

do people no longer think about the 2 sec rule? use that as a buffer to prevent this? presumably adaptive cruise-control will match the car infront, so it won't make the wave worse, but equally won't reduce it.
 
I kinda fell asleep but an observation of mine of which I think is relevant is that as I'm driving along on a motorway/dual carriage way I aim to never touch the brakes... To the point where I can make it home on the outskirts of a town with only the odd dab... It's just so much easier to instead of watching the car in front, watch the one 10 cars in front or whatever and lift off accel. accordingly.
My speed I would dare say fluctuates minimally compared to average. Lorry pulling out? Seen it mate, I've been coasting for half a mile to allow for it :D

I notice a lot of car drivers seem to have no notion of throttle control and just continually mash either the brake or accelerator depending on what's happening to the car in front.

I can jump on my bike and do the 16 mile commute to/from work and only really use my brakes if coming to a dead stop, now I don't know if that's simply because my engine allows massive amounts of engine braking or because as a biker I'm naturally looking for hazards well into the distance and changing pace accordingly without waiting for the brake lights of the vehicle in front to tell me to slow down because by that point there's a fair chance I'll be getting into something dangerous.
 
That's pretty much how I choose to drive. I always leave a big gap and I try to drive without using my brakes as much as possible. If I see a car pull out in front of me, unless it's a real last minute move giving me no gap at all, I usually don't need to do anything about it. Looking further up the road to keep tabs on what the cars further ahead are doing is much more useful to me as I can just ease off the accelerator in anticipation of traffic flow.

Not only does it make for a less stressful journey but it helps traffic flow and also helps me out by saving wear on hammering the brakes all the time. One thing that does irritate me is being behind someone (obviously with a nice gap) who dabs their brakes constantly while I'm behind them maintaining a constant speed without having to touch my brakes at all.
 
Thoughts?
Anyone think that this should be in the highway code?
I have it on good authority that a great many problems are caused by old people, who learned to drive from their grandparents back in 1935 and know full well how to drive and never had to follow anything like the Highway code back in their day, so don't need to do it today... :p

I've always understood that many road problems arise because people are following too close, be it motorways tailbacks or not overtaking tractors or whatever. Probably a good many crashes, too.

Depending on traffic and stuff, I often do run with the QD thing, but I get odd results.
I'll be using the same gaps across all vehicles - However, very few people pull in on me or cut me up when I'm on the motorcycle... more people pull in on me in the dented old blue Škoda Octavia... even more people cut me up in the big blue Honda CR-V... no-one comes near me in the white work-liveried Astravan... hardly anyone was a problem in the old blue C250D Mercedes.

Not sure if there's a size thing, or an perceived insurance value thing, or what, but I got wildly different results from the same gaps in the same traffic at the same times over a long period of daily drives.
 
A valid point. The vast vast majority of my time on the road is driving a 320d and I don't really get anyone pulling out on me when I'm driving that. Not sure why since it's not exactly a fast car and I don't exactly drive it fast either.

However when I drive the S-Max on motorways etc, I definitely get people cutting me up much more often. The last time I drove it was to Guildford and back so a 70 mile or so round trip and I had 4 or 5 people pull out on me at various points throughout the trip forcing me to brake (not heavily, but still close enough to have to do it) despite having a nice big gap further ahead that they could have pulled into without affecting me at all.

No idea why, but it's happened on more than one occasion over various different days.
 
On a similar subject, when queing in stop start traffic I'll often try to estimate the average speed at which the traffic is actually flowing and then try to maintain that speed rather than stopping and starting. Done right this usually results in the car in front pulling away and building a big gap in front of me before stopping again whilst I maintain speed and arrive on their back bumper just as they start moving again. Not only is this more economical but it serves to smooth out the traffic flow for cars following as well.
 
I thought it was the brake-light effect. Person at front applies brakes (for whatever reason, maybe the snuck up too close to the car ahead, maybe a pigeon, maybe they're stretching for a fart). Car behind sees the red lights and does the same. Theres a delay between one and the other, and the second brakes just that bit harder or longer than the first driver. And it ricochets along the queue of traffic. Bit like a spring or a slinky. And suddenly theres a queue of traffic as everyone has slowed to 40mph with no one knowing why.
It is the brake light effect.

If I tap the brakes then you will see my brake lights and brake a little harder.

The next guy will brake a little harder and so on.

With motorways being so congested anyway it only takes one person to cut into a lane and cause someone to tap the brakes.
 
This is the prime reason they've got gantries on smart motorways to try and keep the speed limit at a low speed during congestion.

There's a good video i'll try and find which basically demonstrates the ripple effect throughput the motorway.

I.e. one person brakes, causing the person behind to brake, and so on.

So you're sat somewhere in that queue, and you've braked to a halt because the car infront has. Then all of a sudden speed picks up and you're sat there thinking where's the obstruction then.
 
I have it on good authority that a great many problems are caused by old people, who learned to drive from their grandparents back in 1935 and know full well how to drive and never had to follow anything like the Highway code back in their day, so don't need to do it today... :p

My experience of old people on the road, they don't indicate anywhere, drive too slowly and take the racing line, thus cutting lanes willy nilly in their estates.
 
Highway capacity is non linear.

At 0MPH, obviously it is zero.

It increases approximately linearly to around 17MPH and then starts to decline again as speeds increase further.

The decline for "Safe" capacity is approximately an inverse square. In practice it is flatter than this because drivers typically fail to leave safe braking distances at higher speeds (Which is why multiple pileups happen).

The pulsing that happens when roads are congested is as a result of there being two "Solutions" to the equation that are close together and there is a tendency for the traffic flow to switch between them.

The trick is just to stick to around 15-16 MPH and allow traffic to pull away from you. It will then stop and 19 times out of 20 will magically start moving again just as you catch up with it.

Rinse and repeat.

You will rarely have to stop following this strategy. You will have a much safer and more relaxing journey( as will the people behind you. once they get the point) and you will use less fuel.

Win, Win, Win...
 
Back
Top Bottom