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assignment problem

資料來源 : Free On-Line Dictionary of Computing

assignment problem
     
         (Or "linear assignment") Any problem
        involving minimising the sum of C(a, b) over a set P of pairs
        (a, b) where a is an element of some set A and b is an element
        of set B, and C is some function, under constraints such as
        "each element of A must appear exactly once in P" or similarly
        for B, or both.
     
        For example, the a's could be workers and the b's projects.
     
        The problem is "linear" because the "cost function" C()
        depends only on the particular pairing (a, b) and is
        independent of all other pairings.
     
        {(http://forum.swarthmore.edu/epigone/comp.soft-sys.matlab/bringhyclu)}.
        {(http://www.soci.swt.edu/capps/prob.htm)}.
        {(http://mat.gsia.cmu.edu/GROUP95/0577.html)}.
        {(http://www.informs.org/Conf/WA96/TALKS/SB24.3.html)}.
     
        [Algorithms?]
     
        (1999-07-12)
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