WebL' algorithme de Christofides ou algorithme de Christofides-Serdyukov est un algorithme permettant de trouver des solutions approximatives au problème du voyageur de commerce , sur des instances où les distances forment un espace métrique (elles sont symétriques et obéissent à l' inégalité triangulaire ). [1] 克里斯托菲德斯算法 (Christofides algorithm) 是旅行商问题在度量空间(即距离对称且满足三角不等式)上的一个近似算法。 该算法可以保证相对最优哈密尔顿回路长度有3/2的近似比。尼科斯·克里斯托菲德斯 (Nicos Christofides) 于1976年首次发表了这个算法,故以他的名字命名之。 截至2024年 ,这一算法仍然是一般性旅行商问题的算法中近似比最好的结果。
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WebMar 17, 2024 · ChristofidesPathSolver computes an approximate solution to the Traveling Salesman Problen using the Christofides algorithm (c.f. … WebThe Christofides algorithm is an algorithm for finding approximate solutions to the travelling salesman problem, on instances where the distances form a metric space (they are … alberta ringette association
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WebNov 18, 2024 · This has been explained by Christofides–Serdyukov algorithm to solve the TRAVELLING SALESMAN PROBLEM. Originally, a salesman has to visit “n” different cities and has to come back to his hometown at the minimum cost. You can apply it … WebJun 5, 2024 · A key new idea is the deletion of some edges of the spanning trees used in the best-of-many Christofides-Serdyukov-algorithm, which is then accompanied by … WebRecently, some authors started calling it "Christofides-Serdyukov algorithm", pointing out that it was published independently in the USSR in 1978. We provide some historic background on Serdyukov's findings and a translation of his article from Russian into English. Publication: arXiv e-prints Pub Date: April 2024 DOI: 10.48550/arXiv.2004.02437 albertario