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单词 Polynomial approximation scheme
释义

Polynomial approximation scheme

英语百科

Polynomial-time approximation scheme

(重定向自Polynomial approximation scheme)

In computer science, a polynomial-time approximation scheme (PTAS) is a type of approximation algorithm for optimization problems (most often, NP-hard optimization problems).

A PTAS is an algorithm which takes an instance of an optimization problem and a parameter ε > 0 and, in polynomial time, produces a solution that is within a factor 1 + ε of being optimal (or 1 - ε for maximization problems). For example, for the Euclidean traveling salesman problem, a PTAS would produce a tour with length at most (1 + ε)L, with L being the length of the shortest tour.

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更新时间:2025/6/20 13:17:41