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Diskretn. Anal. Issled. Oper., 2016, Volume 23, Issue 1, Pages 82–96 (Mi da840)  
This article is cited in 5 scientific papers (total in 5 papers)

An algorithm for approximate solution to the Weber problem on a line with forbidden gaps

G. G. Zabudsky, N. S. Veremchuk

Omsk department of S. L. Sobolev Institute of Mathematics, SB RAS, 13 Pevtsov St., 644099 Omsk, Russia

Abstract: The location problem of interconnected facilities on a line with forbidden gaps is considered. The properties of the problem which allow the initial continuous problem to be reduced to the discrete problem are found. The approximate algorithm for solving the problem is developed and the results of computational experiments are presented. Tab. 1, bibliogr. 15.

Keywords: location problem, interconnected facilities, approximate decision.

DOI: https://doi.org/10.17377/daio.2016.23.489

Full text: PDF file (283 kB)
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English version:
Journal of Applied and Industrial Mathematics, 2016, 10:1, 136–144

Bibliographic databases:

UDC: 519.854
Received: 29.04.2015
Revised: 10.08.2015

Citation: G. G. Zabudsky, N. S. Veremchuk, “An algorithm for approximate solution to the Weber problem on a line with forbidden gaps”, Diskretn. Anal. Issled. Oper., 23:1 (2016), 82–96; J. Appl. Industr. Math., 10:1 (2016), 136–144

Citation in format AMSBIB
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\by G.~G.~Zabudsky, N.~S.~Veremchuk
\paper An algorithm for approximate solution to the Weber problem on a~line with forbidden gaps
\jour Diskretn. Anal. Issled. Oper.
\yr 2016
\vol 23
\issue 1
\pages 82--96
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\crossref{https://doi.org/10.17377/daio.2016.23.489}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3555677}
\elib{https://elibrary.ru/item.asp?id=25792214}
\transl
\jour J. Appl. Industr. Math.
\yr 2016
\vol 10
\issue 1
\pages 136--144
\crossref{https://doi.org/10.1134/S1990478916010154}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84961590053}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. G. Zabudsky, M. Lisina, “Approximately algorithm for maximin location problem on network”, 2018 12Th International IEEE Scientific and Technical Conference on Dynamics of Systems, Mechanisms and Machines (Dynamics), ed. A. Kosykh, IEEE, 2018  crossref  isi
    2. A. V. Panyukov, “On the existence of an integer solution of the relaxed Weber problem for a tree network”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 12:1 (2019), 150–155  mathnet  crossref  zmath  isi  elib  scopus
    3. G. Y. Toktoshov, A. N. Yurgenson, D. A. Migov, “Optimizatsiya marshrutov prokladki magistralnogo truboprovoda dlya transportirovki georesursov”, Izv. Tomskogo politekh. un-ta. Inzhiniring georesursov, 330:6 (2019), 41–49  crossref  isi  elib  scopus
    4. G. G. Zabudsky, N. S. Veremchuk, “Multi-facility placement on lines with forbidden zones and routing of communications”, Iv International Scientific and Technical Conference Mechanical Science and Technology Update (Mstu-2020), Journal of Physics Conference Series, 1546, IOP Publishing Ltd, 2020, 012106  crossref  isi  scopus
    5. G. G. Zabudskii, N. S. Veremchuk, “Optimizatsiya razmescheniya vzaimosvyazannykh ob'ektov na parallelnykh liniyakh s zapreschennymi zonami”, Diskretn. analiz i issled. oper., 28:4 (2021), 70–89  mathnet  crossref
    		• Дискретный анализ и исследование операций
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