assignment problem

Computing Dictionary

assignment problem definition

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)
The Free On-line Dictionary of Computing, © Denis Howe 2010 http://foldoc.org
Cite This Source
Explore Dictionary.com
Previous Definition: assignment
Next Definition: assignor
Words Near: assignment problem
More from Thesaurus.com
Synonyms and Antonyms for assignment problem
More from Reference.com
Search for articles containing assignment problem
Dictionary.com Word FAQs

Dictionary.com presents 366 FAQs, incorporating some of the frequently asked questions from the past with newer queries.

Copyright © 2014 Dictionary.com, LLC. All rights reserved.
  • Please Login or Sign Up to use the Recent Searches feature