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Lexikon


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. ref="http://forum.swarthmore.edu/epigone/comp.soft-sys.matlab/bringhyclu">. ref="http://www.soci.swt.edu/capps/prob.htm">. ref="http://mat.gsia.cmu.edu/GROUP95/0577.html">. ref="http://www.informs.org/Conf/WA96/TALKS/SB24.3.html">. [Algorithms?] (1999-07-12)

In addition suitable contents:
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