Average case performance of heuristics for multi-dimensional assignment problems

Computer Science – Discrete Mathematics

Scientific paper

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Scientific paper

We consider multi-dimensional assignment problems in a probabilistic setting.
Our main results are: (i) A new efficient algorithm for the 3-dimensional
planar problem, based on enumerating and selecting from a set of
"alternating-path trees"; (ii) A new efficient matching-based algorithm for the
3-dimensional axial problem.

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