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.
| Identifer | oai:union.ndltd.org:METU/oai:etd.lib.metu.edu.tr:http://etd.lib.metu.edu.tr/upload/12609145/index.pdf |
| Date | 01 January 2008 |
| Creators | Gulek, Mehmet |
| Contributors | Toroslu, Ismail Hakki |
| Publisher | METU |
| Source Sets | Middle East Technical Univ. |
| Language | English |
| Detected Language | English |
| Type | M.S. Thesis |
| Format | text/pdf |
| Rights | To liberate the content for public access |
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