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assignment problem

   Also found in: Wikipedia 0.01 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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Following an introduction to assignment problems dealing with the question of how to assign n items (e.
In the [Zik] model, we remove the constraints (3) and (4) of [ALl], and this model is equivalent to an assignment problem, which will provide the processor to time period assignment matrix.
One assignment problem we are dealing with is that of back-to-back assignments, meaning an assignment to a deploying unit or to an unaccompanied tour within 1 year of that same kind of assignment.
 
 
 
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