Add new comment
-
Want facts and want them fast? Our Maths in a minute series explores key mathematical concepts in just a few words.
Generating electricity without the use of fossil fuels is not just an engineering and industrial challenge, it is also a huge mathematical challenge.
In this podcast author Coralie Colmez shares insights into her novel The irrational diary of Clara Valentine.
We talk to early career mathematicians who spent some of their summer holiday solving problems posed by industry — such as how to blend a perfect smoothie!
Don't like plant-based meat alternatives, but want to spare animals and the environment? There's hope on the horizon, aided by a good helping of maths.
Inverse problems are mathematical detective problems. They can help solve crimes, are used in medical imaging, and much more.
The premise (title) is "if you want less traffic build fewer roads"
I would suggest that this is only true when one adds an additional transaction route (with inherent/intrinsic response time and throughput characteristics) to a model that starts out with an exclusive OR choice of one of two routes, each with only one bottleneck, such that the participants now have a "choice" to take a route that now includes the heretofore impossible case of two bottlenecks.
Queuing systems behave non-linearly after all.
Now, if the "bypass" in the example model had been one that bypassed BOTH existing bottlenecks, it is easily see that even if the new route is moderately slower in it's throughput/response time than the existing two choices; the sum of the system in net, improves. And, of course, if the bypass is intrinsically faster (as used in the example), the system as a whole improves even further.
So the Premise was not only not proven, it was a bit disingenuously stated. In fact: if you want less traffic (i.e. congestion, etc.) you should build more, BETTER (intelligently routed) roads...
Enjoyed the read though