Help me optimize my daily New York City Subway commute! A good question for those who love transportation puzzles:
Every business day, I travel from Union Square to Grand Central at 8:30AM and return at 5:30PM via the 4,5 or 6 train. These trains depart from opposite sites of the same platform. Given the frequency of the trains, and their comparative speeds (and the fact that the local stops along the way), am I better off:
1. Always getting on the first train that arrives, be it local (6) or express (4,5)
2. Always getting on the first express train that arrives, even if that means not getting on a local train (4,5)
3. Some other answer?
Why?
Now, say I just miss an express train (i.e. see it depart the station), am I better off:
1a. Getting on the next train to arrive, be it local or express (4,5 or 6)
2a. Getting on the next express train to arrive even if that means skipping a local train (4,5)
3a. Some other option?
Why?
I am assuming in this question that I always can board any train, but if I estimate that the express trains are too crowded 10% of the time, and the local trains are never too crowded, does that change your answer?
posted by one_bean at 6:47 AM on June 19, 2007