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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.