Optimization problem: Difference between revisions

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C. lorenz (talk | contribs)
Rephrased and added more precise critera for NPO problems. Reference.
C. lorenz (talk | contribs)
Rephrased the comments on the use of the term 'optimization problem'.
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* ''m'' is [[polynomial time | polynomial-time computable]].
 
This implies that the corresponding decision problem is in [[NP (complexity)|NP]]. SinceIn computer science, interesting optimization problems usually fulfillhave thesethe criteria,above "optimizationproperties and are therefore NPO problems. A problem" is oftenadditionally usedcalled synonymouslya P-optimization (PO) problem if there exists an algorithm which finds optimal solutions in polynomial time. Often, when dealing with "NPthe class NPO, one is interested in optimization problem"problems for which the decision versions are NP-hard.
 
==See also==