Multidimensional assignment problem: Difference between revisions

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Alternatively, describing the problem using graph theory:
:The multidimensional assignment problem consists of finding, in a [[weighted graph|weighted]] [[multipartite graph]], a [[Matching (graph theory)|matching]] of a given size, in which the sum of weights of the edges is minimum.<ref>{{Cite journal|last=Natu|first=Shardul|last2=Date|first2=Ketan|last3=Nagi|first3=Rakesh|date=2020|title=GPU-accelerated Lagrangian heuristic for multidimensional assignment problems with decomposable costs|url=http://dx.doi.org/10.1016/j.parco.2020.102666|journal=Parallel Computing|volume=97|pages=102666|doi=10.1016/j.parco.2020.102666|issn=0167-8191}}</ref>
 
==Formal definition==