50 Years of Integer Programming 1958-2008 2009
DOI: 10.1007/978-3-540-68279-0_2
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The Hungarian Method for the Assignment Problem

Abstract: B r y n Y a w CollegeAssuming that numerical s c o r e s a r e available f o r the performance of each of n persons on each of n jobs, the "assignment problem" is the quest for an assignment of persons to jobs so that the s u m of the n s c o r e s so obtained is as large as possible. It is shown that ideas latent in the work of two Hungarian mathematicians may be exploited to yield a new method of solving this problem.

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Cited by 1,200 publications
(1,306 citation statements)
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“…It makes use of the Levenshtein edit distance [19] to track line edits, and tf-idf [34] and cosine similarity [31] to track line movements. It also uses the Hungarian algorithm [18] to find the optimal matching of lines across versions. Compared to previous work, our implementation can also improve precision by using coverage information to filter non-executable lines.…”
Section: Covrig Infrastructurementioning
confidence: 99%
“…It makes use of the Levenshtein edit distance [19] to track line edits, and tf-idf [34] and cosine similarity [31] to track line movements. It also uses the Hungarian algorithm [18] to find the optimal matching of lines across versions. Compared to previous work, our implementation can also improve precision by using coverage information to filter non-executable lines.…”
Section: Covrig Infrastructurementioning
confidence: 99%
“…We matched the group centroids between 10 solutions using Hungarian algorithm [23]. We explored the reproducibility and stability of each cluster to define common-level iCAPs amongst our samples.…”
Section: Group-level Clusteringmentioning
confidence: 99%
“…Algorithms that are able to solve problems defined in this way are immunological techniques, which are pretty good for problems of small and average size. However the most popular and widely applied method is the Hungarian algorithm, which in general is the best method of complexity O(n 3 ) (Kuhn, 1955). However there is no such universal method for multidimensional form of assignment problem, which is a little inconvenient, but on the other hand it has an ideal setting in which one can demonstrate skills and is an area for some improvements and analysis based on non-deterministic methods, heuristics and biologically inspired techniques.…”
Section: N -Dimensional Assignment Problemmentioning
confidence: 99%