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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2011, Issue 1, Pages 58–66
(Mi vuu207)
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This article is cited in 3 scientific papers (total in 3 papers)
MATHEMATICS
Criterion of the stability of optimal route in the travelling salesman problem in case of a single vertex addition
E. E. Ivanko Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg, Russia
Abstract:
The criterion for the stability of optimal travelling salesman route in case of the insertion of a new vertex between two consequent vertexes is deduced. Number of experiments demonstrating stability areas are suggested for the Euclidean plane.
Keywords:
travelling salesman problem, stability.
Received: 04.08.2010
Citation:
E. E. Ivanko, “Criterion of the stability of optimal route in the travelling salesman problem in case of a single vertex addition”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, no. 1, 58–66
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https://www.mathnet.ru/eng/vuu207 https://www.mathnet.ru/eng/vuu/y2011/i1/p58
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Abstract page: | 358 | Full-text PDF : | 187 | References: | 50 | First page: | 1 |
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