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== Computational complexity ==
The problem is generally [[NP-hard]]. In other words, there is no known [[algorithm]] for solving this problem in polynomial time unless [[P=NP]], and so a long computational time may be needed for solving problem instances of even moderate size (based on dimensionality and cardinality parameters).<ref>{{Cite journal|last=Nguyen|first=Duc Manh|last2=Le Thi|first2=Hoai An|last3=Pham Dinh|first3=Tao|date=2012-10-12|title=Solving the Multidimensional Assignment Problem by a Cross-Entropy method|journal=Journal of Combinatorial Optimization|volume=27|issue=4|pages=808–823|doi=10.1007/s10878-012-9554-z|issn=1382-6905}}</ref>
== Applications ==
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