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Diskretnyi Analiz i Issledovanie Operatsii, 2011, Volume 18, Issue 5, Pages 11–37 (Mi da663)  
This article is cited in 9 scientific papers (total in 9 papers)

An approximation algorithm for the minimum 2-PSP with different weight functions valued 1 and 2

A. N. Glebovab, D. Zh. Zambalayevaa

a S. L. Sobolev Institute of Mathematics, SB RAS, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (451 kB) Citations (9)
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Abstract: We present a polynomial algorithm with time complexity $O(n^5)$ and approximation ratio 4/3 (plus some additive constant) for the 2-peripatetic salesman problem on minimum with different weight functions valued 1 and 2 (abbreviated to as 2-PSP(1,2)-min-2w). Our result improves the other known algorithm for this problem with approximation ratio 11/7. Ill. 3, bibliogr. 10.
Keywords: traveling salesman problem, 2-peripatetic salesman problem, polynomial algorithm, guaranteed approximation ratio.
Received: 23.06.2011
English version:
Journal of Applied and Industrial Mathematics, 2012, Volume 6, Issue 2, Pages 167–183
DOI: https://doi.org/10.1134/S1990478912020056
Bibliographic databases:
Document Type: Article
UDC: 519.8
Language: Russian
Citation: A. N. Glebov, D. Zh. Zambalayeva, “An approximation algorithm for the minimum 2-PSP with different weight functions valued 1 and 2”, Diskretn. Anal. Issled. Oper., 18:5 (2011), 11–37; J. Appl. Industr. Math., 6:2 (2012), 167–183
Citation in format AMSBIB
\Bibitem{GleZam11}
\by A.~N.~Glebov, D.~Zh.~Zambalayeva
\paper An approximation algorithm for the minimum 2-PSP with different weight functions valued~1 and~2
\jour Diskretn. Anal. Issled. Oper.
\yr 2011
\vol 18
\issue 5
\pages 11--37
\mathnet{http://mi.mathnet.ru/da663}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2918327}
\zmath{https://zbmath.org/?q=an:1249.90301}
\transl
\jour J. Appl. Industr. Math.
\yr 2012
\vol 6
\issue 2
\pages 167--183
\crossref{https://doi.org/10.1134/S1990478912020056}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84861773292}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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