Ulmo
Active Member
Ok, a puzzle before bed, to keep the mind sharp. This one is easy, so I can still do it while tiredReview the Harris ranch thread should you wish to jog your memory.
But, for an easy thought experiment, consider the most basic odd configuration--three stalls. You're the third person to show up. Which stall do YOU want the first person to pick?
It took me about three tries to figure it out, before I gave up and tried a bunch of configurations. Then I came up with this:
First one picks the shared stall, gets full speed. Second one picks the dedicated stall, gets full speed. You show up, get shared stall, when the first one is near tapering, and you get near full speed, then shortly after that, full speed. Anything else, and there's a potential for someone to get less than full speed for a greater proportion of the time, which is good for no one, because if a fourth person shows up (which could be you), then they have to wait longer, and this will cascade if there are even more cars coming. This was abundantly difficult for me to figure out while tired, though, so I wouldn't be at all surprised if most people just don't try to optimize (and a few still do optimize because they have taken the time to pre-calculate most the equations so that they can quickly figure it out on the fly).
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