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 models the amount of cars on the road, then both and 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.
Easy Math Editor
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:
*italics*
or_italics_
**bold**
or__bold__
paragraph 1
paragraph 2
[example link](https://brilliant.org)
> This is a quote
\(
...\)
or\[
...\]
to ensure proper formatting.2 \times 3
2^{34}
a_{i-1}
\frac{2}{3}
\sqrt{2}
\sum_{i=1}^3
\sin \theta
\boxed{123}
Comments
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 ....
Log in to reply
These are all very helpful, a few more would be great if you don't mind and maybe 1 or 2 "novel" ideas.
Log in to reply
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. :)
Log in to reply
Log in to reply
Log in to reply
Jk, I haven't even started thinking about my license
Log in to reply
Log in to reply
Log in to reply
The problem can be easily resolved. All we need is Space Time Ninjutsu. :D #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.