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View Code? Open in Web Editor NEWSummary: Kuhn-Munkres algorithm for the Assignment Problem with an incomplete cost matrix.
License: GNU General Public License v2.0
Summary: Kuhn-Munkres algorithm for the Assignment Problem with an incomplete cost matrix.
License: GNU General Public License v2.0
Implementation of the sparse kuhn-munkres algorithm. For a general description of the full munkres algorithm, see http://csclab.murraystate.edu/bob.pilgrim/445/munkres.html This implementation assumes a non-complete graph and stores the elements in a sparse matrix, following the ideas outlined in (reference to the Sailor Assignment Problem paper)
for inputs such as :
`
from munkres_sparse import munkres
def main():
values = [
(1, 1, 3),
(1, 3, 4),
(2, 1, 2),
(2, 2, 1),
(2, 3, 3),
(3, 2, 4),
(3, 3, 5)
]
match_res = munkres(values)
values_dict = dict(((i, j), v) for i, j, v in values)
weight_res = sum(values_dict[p] for p in match_res)
print len(match_res)
print match_res
print weight_res
print('complete')
pass
if __name__=='__main__':
main()
`
The output is :
3
[(1, 1), (2, 2), (3, 3)]
9
complete
However, the correct output should be
3
[(1, 1), (2, 3), (3, 2)]
10
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