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Diskretnyi Analiz i Issledovanie Operatsii, 2019, Volume 26, Issue 2, Pages 30–59
DOI: https://doi.org/10.33048/daio.2019.26.622 (Mi da922) 		 
This article is cited in 2 scientific papers (total in 2 papers)

A polynomial $3/5$-approximate algorithm for the asymmetric maximization version of $3$-PSP

A. N. Glebovab, S. G. Toktokhoevab

a Sobolev Institute of Mathematics, 4 Acad. Koptyug Avenue, 630090 Novosibirsk, Russia
b Novosibirsk State University, 1 Pirogov Street, 630090 Novosibirsk, Russia
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DOI: https://doi.org/10.33048/daio.2019.26.622
Abstract: We present a first polynomial algorithm with guaranteed approximation ratio for the asymmetric maximization version of the asymmetric $3$-Peripatetic Salesman Problem ($3$-APSP). This problem consists in finding the three edge-disjoint Hamiltonian circuits of maximal total weight in a complete weighted digraph. We prove that the algorithm has guaranteed approximation ratio $3/5$ and cubic running-time. Illustr. 18, bibliogr. 27.
Keywords: Hamiltonian cycle, traveling salesman problem, $m$-peripatetic salesman problem, approximation algorithm, guaranteed approximation ratio.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00353_a
18-01-00747_а
Received: 06.06.2018
Revised: 27.11.2018
Accepted: 28.11.2018
English version:
Journal of Applied and Industrial Mathematics, 2019, Volume 13, Issue 2, Pages 219–238
DOI: https://doi.org/10.1134/S1990478919020042
Bibliographic databases:
Document Type: Article
UDC: 519.8
Language: Russian
Citation: A. N. Glebov, S. G. Toktokhoeva, “A polynomial $3/5$-approximate algorithm for the asymmetric maximization version of $3$-PSP”, Diskretn. Anal. Issled. Oper., 26:2 (2019), 30–59; J. Appl. Industr. Math., 13:2 (2019), 219–238
Citation in format AMSBIB
\Bibitem{GleTok19}
\by A.~N.~Glebov, S.~G.~Toktokhoeva
\paper A polynomial $3/5$-approximate algorithm for~the~asymmetric maximization version of $3$-PSP
\jour Diskretn. Anal. Issled. Oper.
\yr 2019
\vol 26
\issue 2
\pages 30--59
\mathnet{http://mi.mathnet.ru/da922}
\crossref{https://doi.org/10.33048/daio.2019.26.622}
\transl
\jour J. Appl. Industr. Math.
\yr 2019
\vol 13
\issue 2
\pages 219--238
\crossref{https://doi.org/10.1134/S1990478919020042}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85067404465}
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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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