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::<math>\sum_{a\in A}C(a,\pi_{1}(a),\ldots,\pi_{D-1}(a))</math>
is minimized.<ref>{{Cite journal|last1=Karapetyan|first1=Daniel|last2=Gutin|first2=Gregory|date=2011-06-01|title=Local search heuristics for the multidimensional assignment problem|url=
=== Problem parameters ===
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