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.