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Diskretnyi Analiz i Issledovanie Operatsii, 2011, Volume 18, Issue 4, Pages 3–16 (Mi da657)  
This article is cited in 10 scientific papers (total in 10 papers)

Local search over generalized neighborhood for an optimization problem of pseudo-Boolean functions

V. L. Beresnevab, E. N. Goncharovab, A. A. Mel'nikovb

a S. L. Sobolev Institute of Mathematics, SB RAS, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (355 kB) Citations (10)
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Abstract: We consider an algorithm for local search with generalized neighborhood for a pseudo-Boolean function optimization problem. A generalized neighborhood is constructed for locally optimal solutions that contains other locally optimal solutions which surround the former. We bring results of numerical experiments with usage of pseudo-Boolean functions whose optimization is equivalent to problems of facility location, set coverage, and competitive facility location. The aim of experiments is comparative estimating of locally optimal solutions obtained with the common local search algorithm and the algorithm of local search with generalized neighborhood. Tabl. 6, bibliogr. 11.
Keywords: optimization, local search, polynomial of Boolean variables, facility location problem, set coverage problem.
Received: 04.04.2011
English version:
Journal of Applied and Industrial Mathematics, 2012, Volume 6, Issue 1, Pages 22–30
DOI: https://doi.org/10.1134/S1990478912010048
Bibliographic databases:
Document Type: Article
UDC: 519.8
Language: Russian
Citation: V. L. Beresnev, E. N. Goncharov, A. A. Mel'nikov, “Local search over generalized neighborhood for an optimization problem of pseudo-Boolean functions”, Diskretn. Anal. Issled. Oper., 18:4 (2011), 3–16; J. Appl. Industr. Math., 6:1 (2012), 22–30
Citation in format AMSBIB
\Bibitem{BerGonMel11}
\by V.~L.~Beresnev, E.~N.~Goncharov, A.~A.~Mel'nikov
\paper Local search over generalized neighborhood for an optimization problem of pseudo-Boolean functions
\jour Diskretn. Anal. Issled. Oper.
\yr 2011
\vol 18
\issue 4
\pages 3--16
\mathnet{http://mi.mathnet.ru/da657}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2894338}
\zmath{https://zbmath.org/?q=an:1249.90137}
\transl
\jour J. Appl. Industr. Math.
\yr 2012
\vol 6
\issue 1
\pages 22--30
\crossref{https://doi.org/10.1134/S1990478912010048}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84857679640}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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