Walk or Wait redux
2008.02.26
Mathematics

Several weeks ago I wrote about a paper asking whether to walk or to wait at the bus stop, and proposed some possible generalizations.

Apparently someone else also thought about possible generalizations. Anthony Morton took a slightly different approach to what I proposed and instead analyzed the problem that the authors of the original paper posed but "simplified away". He tries to directly minimise the expected travel time under the possibility of intermediate stops with arbitrary arrival probabilities (for the bus). Indeed, he shows that, in good accord with common sense, that depending on the frequency of the bus arrivals, there are situations where it is more beneficial to start walking, rather than just stand and wait.

Posted at 15:14:25 EST by W comment

blogCentralFront Page
2009.11.20 00:41:20 GMT Feynman's Messenger Lectures online Just found out something rather cool: Microsoft Research, through Project Tuva, is publishing videos of Richard Feynman's Messenger Lectures. Go watch.
2009.11.18 11:05:07 GMT Alcohol consumption Different cultures certainly have different views on alcohol. For example, at Hertford College Oxford, wine is allowed if reasonably drunk and 4) A small amount of beer or lager will be allowed wher
2009.11.16 19:17:31 GMT Luc visits; Willie doesn't check e-mail Holy cow! I just realized that I spent a day at work without checking e-mail! Okay, to be honest, today I was hosting Luc Nguyen, who we invited to speak on his work about the regularity near the sing
2009.11.15 18:19:32 GMT Chicken soup Chicken soup is not just good for the soul. It has been scientifically proven to mitigate inflammation. Maybe mommy's chicken soup was the reason that the same bug that took Pin out of commission for
2009.11.10 17:58:53 GMT Sayonara, e-nibbles; hullo, Gee-Mi-Ni It's final: e-nibbles is no more. e-nibbles was my trusty Dell D600 which I purchased summer after my Junior year in college through the Student Computer Initiative. Immediately after receiving the ob
2009.09.30 10:12:57 BST Ahhh! Cruft discovered in pre-print. Ack, I should've known better. I stayed up a bit later on Monday night than I intended to. I was asked, by Claude, last week, about whether certain cases (in particular the Born-Infeld model) not cove
2009.09.28 18:30:27 BST Spiders spiders everywhere Wow! Third post today, and here I thought I have been neglecting my blog. Anyway, it turns out that I am not the only person to have noticed the large number of spiders in Britain this autumn. Going o
2009.09.28 15:12:09 BST Causality of generalized wave-maps--paper on arXiv Oh, almost forgot. New paper on arXiv. Gary Gibbons showed via explicit computations using eigenvalues that the Skyrmion equation obeys the dominant energy condition. In my paper, I proved the dominan
2009.09.28 14:42:39 BST The evolution debate as an illustration of speciation I was reading some article or another in Wired, which happens to be about dinosaurs. And of course, the religious kooks came out of the woodwork to attack evolution on the comment board. And it occurr
2009.09.02 12:42:44 BST New beginnings: first days at Cambridge Heh. Did you, dear reader, notice the change on the date-stamp for the previous entry? It was posted in British Standard Time. Yes, I am now taking a position in the Department of Pure Mathematics and