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Diskretnyi Analiz i Issledovanie Operatsii, 2017, Volume 24, Issue 3, Pages 5–19
DOI: https://doi.org/10.17377/daio.2017.24.551 (Mi da872) 		 
This article is cited in 2 scientific papers (total in 2 papers)

An asymptotically optimal algorithm for the $m$-peripatetic salesman problem on random inputs with discrete distribution

E. Kh. Gimadiab, O. Yu. Tsidulkoab

a Novosibirsk State University, 2 Pirogov St., 630090 Novosibirsk, Russia
b Sobolev Institute of Mathematics, 4 Acad. Koptyug Ave., 630090 Novosibirsk, Russia
Full-text PDF (339 kB) Citations (2)
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DOI: https://doi.org/10.17377/daio.2017.24.551
Abstract: We consider the $m$-Peripatetic Salesman Problem ($m$-PSP) on random inputs with discrete distribution function. In this paper we present a polynomial approximation algorithm which, under certain conditions, with high probability (w.h.p.) gives optimal solution for both the $m$-PSP on random inputs with identical weight functions and the $m$-PSP with different weight functions. Illustr. 1, bibliogr. 27.
Keywords: $m$-Peripatetic Salesman Problem, asymptotically optimal algorithm, random inputs, discrete distribution.
Funding agency Grant number
Russian Science Foundation 16-11-10041
Received: 03.08.2016
Revised: 13.10.2016
English version:
Journal of Applied and Industrial Mathematics, 2017, Volume 11, Issue 3, Pages 354–361
DOI: https://doi.org/10.1134/S1990478917030061
Bibliographic databases:
Document Type: Article
UDC: 519.8
Language: Russian
Citation: E. Kh. Gimadi, O. Yu. Tsidulko, “An asymptotically optimal algorithm for the $m$-peripatetic salesman problem on random inputs with discrete distribution”, Diskretn. Anal. Issled. Oper., 24:3 (2017), 5–19; J. Appl. Industr. Math., 11:3 (2017), 354–361
Citation in format AMSBIB
\Bibitem{GimTsi17}
\by E.~Kh.~Gimadi, O.~Yu.~Tsidulko
\paper An asymptotically optimal algorithm for the $m$-peripatetic salesman problem on random inputs with discrete distribution
\jour Diskretn. Anal. Issled. Oper.
\yr 2017
\vol 24
\issue 3
\pages 5--19
\mathnet{http://mi.mathnet.ru/da872}
\crossref{https://doi.org/10.17377/daio.2017.24.551}
\elib{https://elibrary.ru/item.asp?id=29869480}
\transl
\jour J. Appl. Industr. Math.
\yr 2017
\vol 11
\issue 3
\pages 354--361
\crossref{https://doi.org/10.1134/S1990478917030061}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85028554513}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретный анализ и исследование операций
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    References:30
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