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The problem found application in many domains:
*[[Scheduling (production processes)]]<ref name="Pier68" />
*[[Data fusion|Multi-sensor data fusion]]<ref>{{Cite journal|last=Poore|first=Aubrey B.|date=1994|title=Multidimensional assignment formulation of data association problems arising from multitarget and multisensor tracking|journal=Computational Optimization and Applications|volume=3|issue=1|pages=27–57|doi=10.1007/BF01299390|s2cid=33848795 |doi-access=free}}</ref>
*[[Record linkage|Record linkage or multipartite entity resolution]]<ref name="Pasi21" />
*[[Particle physics|Elementary particle physics]]<ref>{{Cite journal|last1=Pusztaszeri|first1=Jean-François|last2=Rensing|first2=Paul E.|last3=Liebling|first3=Thomas M.|date=1996|title=Tracking elementary particles near their primary vertex: a combinatorial approach|journal=Journal of Global Optimization|volume=9|issue=1|pages=41–64|doi=10.1007/BF00121750|s2cid=2002168 }}</ref>
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