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assignment problem

   Also found in: Wikipedia 0.03 sec.
assignment problem [ə′sīn·mənt ′präb·ləm]
(computer science)
A special case of the transportation problem in a linear program, in which the number of sources (assignees) equals the number of designations (assignments) and each supply and each demand equals 1.
(mathematics, algorithm)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://soci.swt.edu/capps/prob.htm. http://mat.gsia.cmu.edu/GROUP95/0577.html. http://informs.org/Conf/WA96/TALKS/SB24.3.html.



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Or, to put it differently, international coordination does not solve the assignment problem.
Should G7 policy coordination be revived? by Siebert, Horst / The International Economy
The SilverScreener model is analogous to an assignment problem, where the theater screens represent "machines" and the individual films are "jobs" to be assigned to those "machines" to maximize total revenue of the assignments.
Optimal film selection for multiplex theater by Vereen, Bradley / Journal of Academy of Business and Economics
This assignment problem of individual articles has been studied, for example, in de Bruin & Moed (1993) and Glanzel, Schubert, & Czerwon (1999).
Journal evaluation: technical and practical issues by Rousseau, Ronald / Library Trends
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