Assignment problem: Difference between revisions

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The assignment problem is a special case of another optimization problem known as the [[transportation problem]], which is a special case the [[maximal flow problem]], which in turn is a special case of a [[linear program]]. While it is possible to solve any of these problems using the [[simplex algorithm]], each problem has more efficient algorithms designed to take advantage of its special structure. Algorithm are known that solve the linear assignment problem within time bounded by a polynomial expression of the number of agents.
 
The restrictions on agents, tasks and cost in the (linear) assignemntassignment problem could be relaxed, as shown in the example below.
 
==Example==