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A 445M is an sm_21 Fermi device with 3 SMs (144 cores). This is a low-end GPU.

There is a reference to this paper in the article: http://graphics.stanford.edu/papers/pomegranate/

This looks like a variant of the "Lion and Man" problem which is also described as a "bounded pursuit" problem in the operations research journals: http://www.google.com/search?q=l…