# Traffic solutions

Traffic is getting worse every year. Not only is the amount of cars on the road increasing. But also the rate of increase is increasing. In other words: if $f(x)$ models the amount of cars on the road, then both $f'(x)$ and $f''(x)$ are positive.

What complaints do you have about the traffic system and how do you think they can be resolved while minimizing costs of the changes.

Note by Trevor Arashiro
5 years, 4 months ago

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

When posting on Brilliant:

• Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .
• Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
• Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

• bulleted
• list

1. numbered
2. list

1. numbered
2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1

paragraph 2

paragraph 1

paragraph 2

> This is a quote
This is a quote
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in $$...$$ or $...$ to ensure proper formatting.
2 \times 3 $2 \times 3$
2^{34} $2^{34}$
a_{i-1} $a_{i-1}$
\frac{2}{3} $\frac{2}{3}$
\sqrt{2} $\sqrt{2}$
\sum_{i=1}^3 $\sum_{i=1}^3$
\sin \theta $\sin \theta$
\boxed{123} $\boxed{123}$

Sort by:

The problem can be easily resolved. All we need is Space Time Ninjutsu. :D$~~\text{\#Naruto}$

Either that or we just need to nuke half of the Earth and then disperse the remaining population. Such sudden change in population density will definitely make $f'(x)$ negative since the amount of cars is directly proportional to human population density.

- 5 years, 4 months ago

Traffic jams ..... in paradise? :) So are you looking for something novel, besides the usual prescription of:

• improvements in public transit, (paid for by increased gas taxes, auto sale taxes and parking fees, (really popular :P));

• incentives for car-pooling, (express lanes, decreased tolls, tax deductions, etc.);

• staggered work-days, so that not everybody heads to work and back home at the same time;

• incentives to companies that allow their employees to telecommute to work when possible;

• roundabouts rather than stop lights and signs where safe so as to promote traffic flow;

• improved traffic engineering so that light signal networks are programmed to respond to real-time conditions;

• encourage cycling (or surfing, hehe) to work, (tax deductions could apply here too), and providing safe lanes to do so;

• remotely-administered tolls for entering certain high-congestion areas;

• building live/work centers so that people can work and live in the same complex.

Need more? Got more ....

- 5 years, 4 months ago

These are all very helpful, a few more would be great if you don't mind and maybe 1 or 2 "novel" ideas.

- 5 years, 4 months ago

Continuing, then ....

• better driver education and stricter licensing standards; both aggressive and timid drivers upset the flow of traffic and cause accidents, so ensuring that people drive wisely and defensively will improve conditions for all;

• related to this, on-board computers could (gently) advise drivers on how to improve their habits; this would be annoying at first, but once drivers do improve these suggestions would decrease in frequency;

• on-board computers could also advise drivers on accidents, provide real-time data on traffic flow, etc., so that "queuing theory" could become reality;

• build more pedestrian over/under-passes and designate more streets as 'car-free" so that car and pedestrian traffic operate more independently of one another;

• often people spend a great deal of time looking for a place to park; with modern technology as it is, it should be possible to have parking spaces monitored so that information on their availability can be transmitted to a car's on-board computer so that driver's can more efficiently find parking near where they wish to go;

• stop building new roads and improve the ones we have; there is a historically strong correlation between the building and widening of roadways and the increase in the number of cars on the road, ("induced demand", in economics-speak);

• build canals; Venice has no traffic jams and everybody gets around just fine, (it's a shame, though, the place is sinking into the Adriatic. :().

• work on teleportation technology; does that count as novel?? hehehe

O.k., I'm clearly out of ideas now. Hope that helped. :)

- 5 years, 4 months ago

Wow, thank you so much. You went well beyond what I needed. btw. Have you ever thought of telling these suggestions to the trafficking committee, cuz some of these are really good

- 5 years, 4 months ago

For some reason, even though I live out in the country outside of a fairly small city, I think a lot about this subject. It's vital to the life of a city to deal intelligently with traffic so as to make sure the car "serves" the city and not the other way 'round. So have you started taking driving lessons yet? I waited until I felt responsible enough, (around 19), to get my license.

- 5 years, 4 months ago

Actually I have started. I have learned to drive very well after playing Mario Cart for an estimated total of 100 hours :P

- 5 years, 4 months ago

Haha Yeah, I'm sure driving instructors just love it when new students come in with all this online "experience". :P It's good that you're in no rush to get a license; driving is probably the most (potentially) dangerous activity the average person performs on any given day, so it's preferable to take your time and prepare amply for the responsibility. Hmmm... that didn't make me sound like an old codger at all, did it? :P

- 5 years, 4 months ago

Yes, I have a great fear that I may crash while driving. If I'm going on the free way at 60mph and a solution to a problem I was working on last night pops up in my head... Lol. And lol, we have the same mentality about waiting to get your license, guess that makes us both codgers eh?

- 5 years, 4 months ago

Yes, there can't be any mathematical distractions going on when your changing lanes at 60 mph in a rainstorm. I find that lively music helps me focus while driving and prevents me from even trying to come up with a new problem to post on Brilliant. :)

- 5 years, 4 months ago