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Query: faculty: "FEB" and publication year: "2004"

AuthorA. Volgenant
TitleSolving the k-cardinality assignment problem by transformation
JournalEuropean Journal of Operational Research
FacultyFaculty of Economics and Business
Institute/dept.FEB: Amsterdam School of Economics Research Institute (ASE-RI)
AbstractThe k-cardinality Linear Assignment Problem (k-LAP) with k a given integer is a generalization of the linear assignment problem: one wants to assign k rows (a free choice out of more rows) to k columns (a free choice out of more columns) minimizing the sum of the corresponding costs. For this polynomially solvable problem special algorithms are known based on transformation to min-cost flow or on shortest augmenting paths. We describe a transformation that enables to solve the k-LAP by any standard linear assignment algorithm. The transformation can be modified to solve the group assignment problem as a standard problem. Computational results for random test instances up to size n=500 with various k-values and randomly drawn cost coefficients show that the transformation approach is suited to solve the k-LAP within short computer times on a standard personal computer.
Document typeArticle
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