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Diskretn. Anal. Issled. Oper., Ser. 2, 2006, Volume 13, Number 2, Pages 74–102 (Mi da7)  

This article is cited in 6 scientific papers (total in 6 papers)

A generalized linear exchange model

V. I. Shmyrev

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: The linear exchange model is studied in which alongside the consumers there are firms minimizing expenses to guarantee some minimal level of the total cost of production. Some finite algorithm for finding an equilibrium is proposed and justified in the case of the fixed budgets of consumers. This algorithm develops the original approach of polyhedral complementarity which was proposed by the author for the classical exchange model.

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English version:
Journal of Applied and Industrial Mathematics, 2008, 2:1, 125–142

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Citation: V. I. Shmyrev, “A generalized linear exchange model”, Diskretn. Anal. Issled. Oper., Ser. 2, 13:2 (2006), 74–102; J. Appl. Industr. Math., 2:1 (2008), 125–142

Citation in format AMSBIB
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\by V.~I.~Shmyrev
\paper A generalized linear exchange model
\jour Diskretn. Anal. Issled. Oper., Ser.~2
\yr 2006
\vol 13
\issue 2
\pages 74--102
\mathnet{http://mi.mathnet.ru/da7}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2310929}
\zmath{https://zbmath.org/?q=an:1249.91085}
\transl
\jour J. Appl. Industr. Math.
\yr 2008
\vol 2
\issue 1
\pages 125--142
\crossref{https://doi.org/10.1007/s11754-008-1013-2}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-41749083100}


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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. V. I. Shmyrev, “Drobno-lineinaya model obmena. Chast 1: suschestvovanie i priznak ravnovesiya”, Diskretn. analiz i issled. oper., 17:1 (2010), 75–96  mathnet  mathscinet  zmath
    2. V. I. Shmyrev, “Drobno-lineinaya model obmena. Chast 2: metod vstrechnykh traektorii dlya modeli s fiksirovannymi byudzhetami”, Diskretn. analiz i issled. oper., 17:2 (2010), 79–96  mathnet  mathscinet  zmath
    3. V. I. Shmyrev, “A linear production-exchange model: Polyhedral complexes and a criterion for an equilibrium”, J. Appl. Industr. Math., 6:2 (2012), 240–247  mathnet  crossref  mathscinet
    4. V. I. Shmyrev, “The method of meeting trajectories for a linear production-exchange model”, J. Appl. Industr. Math., 6:4 (2012), 490–500  mathnet  crossref  mathscinet
    5. V. I. Shmyrev, “Algoritmy poliedralnoi komplementarnosti dlya otyskaniya ravnovesiya v lineinykh modelyakh konkurentnoi ekonomiki”, Diskretn. analiz i issled. oper., 21:2 (2014), 84–101  mathnet  mathscinet
    6. V. I. Shmyrev, “Polyhedral complementarity on a simplex. Potentiality of regular mappings”, J. Appl. Industr. Math., 12:1 (2018), 167–176  mathnet  crossref  crossref  elib
  • Дискретный анализ и исследование операций
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