assignment problem - translation to ρωσικά
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assignment problem - translation to ρωσικά

COMBINATORIAL OPTIMIZATION PROBLEM
Linear assignment problem; Unbalanced assignment problem; Credit assignment problem

assignment problem         

математика

задача о назначениях

assignment problem         
1) задача о назначениях
2) задача о распределении (напр. ресурсов)
assign         
WIKIMEDIA DISAMBIGUATION PAGE
Assign; The Assignment; Assignment (disambiguation); Assignments; The Assignment (film)
assign 1. v. 1) назначать, определять (срок, границы) 2) поручать (задание, работу) 3) назначать, определять на должность 4) предназначать; ассигновать 5) закреплять за кем-л., передавать (имущество) 6) приписывать this song is sometimes assigned to Schubert - эту песню иногда приписывают Шуберту Syn: see appoint 2. noun leg. правопреемник

Ορισμός

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)

Βικιπαίδεια

Assignment problem

The assignment problem is a fundamental combinatorial optimization problem. In its most general form, the problem is as follows:

The problem instance has a number of agents and a number of tasks. Any agent can be assigned to perform any task, incurring some cost that may vary depending on the agent-task assignment. It is required to perform as many tasks as possible by assigning at most one agent to each task and at most one task to each agent, in such a way that the total cost of the assignment is minimized.

Alternatively, describing the problem using graph theory:

The assignment problem consists of finding, in a weighted bipartite graph, a matching of a given size, in which the sum of weights of the edges is minimum.

If the numbers of agents and tasks are equal, then the problem is called balanced assignment. Otherwise, it is called unbalanced assignment. If the total cost of the assignment for all tasks is equal to the sum of the costs for each agent (or the sum of the costs for each task, which is the same thing in this case), then the problem is called linear assignment. Commonly, when speaking of the assignment problem without any additional qualification, then the linear balanced assignment problem is meant.

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