Re: best braking technique as one approaches red light
- From: quasi <quasi@xxxxxxxx>
- Date: Thu, 23 Aug 2007 05:08:22 -0400
On Thu, 23 Aug 2007 05:00:23 EDT, jeremy rutman
<jeremy_spagnet@xxxxxxxxxxx> wrote:
I am stumped by the following problem:
I'm traveling at a speed V when I see a red light ahead
at distance d with probability to change to green as function of time p(t), which for example could be gaussian.
I would like to find the velocity profile v(t) that maximizes my velocity (averaged over all scenarios knowing p(t)) as I pass the light, with the condition that I have to stop if I hit the light when its still red.
It doesnt seem to fit the form of a standard functional
cauchy-riemann type problem. Has anyone an insight how to solve it?
If you absolutely have to stop on red, then the probability function
p(t) is irrelevant. You always should go at the maximum speed subject
to the requirement that you must be able to brake to a full stop at
the light if it's still red.
quasi
.
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