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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2011, Volume 17, Number 3, Pages 155–168 (Mi timm728)  
This article is cited in 2 scientific papers (total in 2 papers)

Sufficient stability conditions in the traveling salesman problem

E. E. Ivanko

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (320 kB) Citations (2)
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Abstract: Uniform sufficient conditions for the stability of optimal routes in the traveling salesman problem under various distortions of initial data are formulated and proved. The distortions include addition and removal of vertices and changes in the travel cost matrix. Polynomial-time algorithms are presented, which use the obtained sufficient conditions to construct stability domains on finite sets. Results of experiments in metric traveling salesman problems on the integer lattice are demonstrated.
Keywords: traveling salesman problem, routing problem, stability, combinatorial optimization.
Received: 20.01.2011
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: E. E. Ivanko, “Sufficient stability conditions in the traveling salesman problem”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 3, 2011, 155–168
Citation in format AMSBIB
\Bibitem{Iva11}
\by E.~E.~Ivanko
\paper Sufficient stability conditions in the traveling salesman problem
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2011
\vol 17
\issue 3
\pages 155--168
\mathnet{http://mi.mathnet.ru/timm728}
\elib{https://elibrary.ru/item.asp?id=17870128}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:42
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