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Assignment problem

assignment problem
mathematics, algorithm
(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://soci.swt.edu/capps/prob.htm). (http://mat.gsia.cmu.edu/GROUP95/0577.html). (http://informs.org/Conf/WA96/TALKS/SB24.3.html).
[Algorithms?]
(1999-07-12)

Tagged:

• Assignor

to give or allocate; allot: to assign rooms at a hotel. to give out or announce as a task: to assign homework. to appoint, as to a post or duty: to assign one to guard duty. to designate; name; specify: to assign a day for a meeting. to ascribe; attribute; bring forward: to assign a […]

• Assimilable

capable of being . Historical Examples Though the Negro is not assimilable, he is here to stay; he should therefore be helped to develop along his own lines. Applied Eugenics Paul Popenoe and Roswell Hill Johnson Food and drink are only carriers of bits of assimilable sunshine. Etidorhpa or the End of Earth. John Uri […]

• Assimilate

to take in and incorporate as one’s own; absorb: He assimilated many new experiences on his European trip. to bring into conformity with the customs, attitudes, etc., of a group, nation, or the like; adapt or adjust: to assimilate the new immigrants. Physiology. to convert (food) to substances suitable for incorporation into the body and […]

• Assimilate with

to take in and incorporate as one’s own; absorb: He assimilated many new experiences on his European trip. to bring into conformity with the customs, attitudes, etc., of a group, nation, or the like; adapt or adjust: to assimilate the new immigrants. Physiology. to convert (food) to substances suitable for incorporation into the body and […]

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