Assignment problem: Difference between revisions

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Minor improvent on wshun's rearrangement
Use maths for the summation. My browser barfs on ∈, others will too.
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The formal definition of an '''assignment problem''' (or '''linear assignment''') is
 
:Given two sets, ''A'' and ''T'', of equal size, together with a cost function ''C'':''A''×''T''→'''[[real number|R]]'''. Find the [[bijection]] ''f'':''A''→''T'' such that: Σ

::<submath>''\sum_{a''&isin;''\in A''</sub>''}C''(''a'',''f''(''a'')) </math>
:is minimized.
 
The problem is "linear" because the cost function to be optimized as well as all the constraints can be expressed as linear equations.