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Originally Posted by DS
More realistically though, if you had no way of knowing what areas had already been searched, or what the size of the search area was to begin with, you are still faced with the same problem.
Still, there might be some mathematical probability formula that could be invoked to give one the best odds, but I have no idea how one would calculate that.
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I know what the probability of detection is as a function of time for a searcher moving randomly against a stationary target. In general, the effect of a target moving randomly is to take a searcher who has some kind of more organized search and turn it into a random search. It's easy to see that if you consider what the searcher's motion looks like in the reference frame of the target.
Huuum... I think I have something fun to play with at work today. :-)