Assignment problem and its variations

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2007

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Gülek, Mehmet

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We investigate the assignment problem, which is the problem of matching two sets with each other, optimizing a given function on the possible matchings. Among different definitions, a graph theoretical definition of the linear sum assignment problem is as follows: Given a weighted complete bipartite graph, find a maximum (or minimum) one-to-one matching between the two equal-size sets of the graph, where the score of a matching is the total weight of the matched edges. We investigate extensions and variations like the incremental assignment problem, maximum subset matching problem, maximum-weighted tree matching problem. We present a genetic algorithm scheme for maximum-weighted tree matching problem, and experimental results of our implementation.

Subject Keywords

Computer enginnering., Electronic computers.

URI

http://etd.lib.metu.edu.tr/upload/12609145/index.pdf
https://hdl.handle.net/11511/17352

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Graduate School of Natural and Applied Sciences, Thesis

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Citation Formats

M. Gülek, “Assignment problem and its variations,” M.S. - Master of Science, Middle East Technical University, 2007.