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Answers for “FPTAS、PTAS、APX 和 Non-APX 有什么区别?”

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FPTAS and PTAS allow arbitrarily close approximation. APX allows constant-factor approximation.

Conditions: Comparing standard approximation classes for optimization problems.

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It means that in the worst case, the algorithm's output cost is at most twice the true optimal cost.

Conditions: The problem is a minimization problem.; The algorithm is a 2-approximation.