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Avtomatika i Telemekhanika, 2012, Issue 2, Pages 178–190 (Mi at3620)  
This article is cited in 6 scientific papers (total in 6 papers)

Integer Programming Problems

Analysis of integer programming algorithms with L-partition and unimodular transformations

A. A. Kolokolov, T. G. Orlovskaya, M. F. Rybalka

Omsk Affiliated Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Omsk, Russia
Full-text PDF (242 kB) Citations (6)
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Abstract: We study algorithms for solving integer linear programming problems, in particular, set packing and knapsack problems. We pay special attention to algorithms of lexicographic enumeration of L-classes and their combinations with other approaches. We study the problems of using unimodular transformations in order to improve the structure of the problems and speed up the algorithms. We construct estimates on the number of iterations for the algorithms that take into account the specific structure of the problems in question. We also show experimental results.
Presented by the member of Editorial Board: A. I. Kibzun

Received: 06.06.2011
English version:
Automation and Remote Control, 2012, Volume 73, Issue 2, Pages 369–380
DOI: https://doi.org/10.1134/S0005117912020142
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. A. Kolokolov, T. G. Orlovskaya, M. F. Rybalka, “Analysis of integer programming algorithms with L-partition and unimodular transformations”, Avtomat. i Telemekh., 2012, no. 2, 178–190; Autom. Remote Control, 73:2 (2012), 369–380
Citation in format AMSBIB
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\paper Analysis of integer programming algorithms with $L$-partition and unimodular transformations
\jour Avtomat. i Telemekh.
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\issue 2
\pages 178--190
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\jour Autom. Remote Control
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\vol 73
\issue 2
\pages 369--380
\crossref{https://doi.org/10.1134/S0005117912020142}
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Linking options:
  • https://www.mathnet.ru/eng/at3620
  • https://www.mathnet.ru/eng/at/y2012/i2/p178
    • This publication is cited in the following 6 articles:
    1. Anton V. Eremeev, Alexander S. Yurkov, Lecture Notes in Computer Science, 12095, Mathematical Optimization Theory and Operations Research, 2020, 35  crossref
    2. Kolokolov A.A., Zaozerskaya L.A., “Analysis of Some Cutting Plane Algorithms of Integer Programming”, 2016 Dynamics of Systems, Mechanisms and Machines (Dynamics), Dynamics of Systems Mechanisms and Machines, ed. Kosykh A., IEEE, 2016  isi
    3. Alexander A. Kolokolov, Lidia A. Zaozerskaya, 2016 Dynamics of Systems, Mechanisms and Machines (Dynamics), 2016, 1  crossref
    4. A. A. Kolokolov, L. A. Zaozerskaya, “Finding and analysis of estimation of the number of iterations in integer programming algorithms using the regular partitioning method”, Russian Math. (Iz. VUZ), 58:1 (2014), 35–46  mathnet  crossref
    5. A. V. Seliverstov, “On monomials in quadratic forms”, J. Appl. Industr. Math., 7:3 (2013), 431–434  mathnet  crossref  mathscinet
    6. A. A. Kolokolov, T. G. Orlovskaya, “Issledovanie nekotorykh zadach tselochislennogo programmirovaniya na osnove unimodulyarnykh preobrazovanii i regulyarnykh razbienii”, Tr. IMM UrO RAN, 19, no. 2, 2013, 193–202  mathnet  mathscinet  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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