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Zh. Vychisl. Mat. Mat. Fiz., 2008, Volume 48, Number 11, Pages 1968–1978 (Mi zvmmf83)  

This article is cited in 7 scientific papers (total in 7 papers)

Inverse complementarity in a resource deficit model

A. V. Zykina

Omsk State Technical University, pr. Mira 11, Omsk, 644050, Russia

Abstract: The concept of inverse complementarity for a parametric family of optimization problems is introduced. This concept is an effective tool for solving complicated applied problems arising in socioeconomic systems. As an example, a nonlinear resource deficit model is constructed in which the equilibrium is characterized by an external market value of resources coinciding with internal objectively determined resource estimates. An extraproximal method is proposed for computing an equilibrium solution. The convergence of the method is proved.

Key words: inverse problem, complementarity problem, duality, saddle point, extraproximal method, convergence.

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English version:
Computational Mathematics and Mathematical Physics, 2008, 48:11, 1971–1980

Bibliographic databases:

Document Type: Article
UDC: 519.658
Received: 16.03.2007
Revised: 02.04.2008

Citation: A. V. Zykina, “Inverse complementarity in a resource deficit model”, Zh. Vychisl. Mat. Mat. Fiz., 48:11 (2008), 1968–1978; Comput. Math. Math. Phys., 48:11 (2008), 1971–1980

Citation in format AMSBIB
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\pages 1968--1978
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\pages 1971--1980
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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. A. V. Zykina, N. V. Melenchuk, “A two-step extragradient method for variational inequalities”, Russian Math. (Iz. VUZ), 54:9 (2010), 71–73  mathnet  crossref  mathscinet
    2. A. V. Zykina, N. V. Melenchuk, “Dvukhshagovyi ekstragradientnyi metod dlya zadachi upravleniya resursami”, Model. i analiz inform. sistem, 17:1 (2010), 65–75  mathnet
    3. Zaporozhets D.N., “Obrabotka iskhodnykh dannykh pri realizatsii ekstragradientnykh metodov resheniya lineinykh optimizatsionnykh zadach”, Omskii nauchnyi vestnik, 2010, no. 3, 18–20  elib
    4. Zykina N.V., Zykina A.V., “Variatsionnye neravenstva so svyazannymi ogranicheniyami v modeli defitsita resursov”, Omskii nauchnyi vestnik, 2010, no. 3, 25–27  elib
    5. D. N. Zaporozhets, A. V. Zykina, N. V. Melen'chuk, “Comparative analysis of the extragradient methods for solution of the variational inequalities of some problems”, Autom. Remote Control, 73:4 (2012), 626–636  mathnet  crossref  isi
    6. Zaporozhets D.N., Zykina A.V., “Dvukhshagovyi ekstragradientnyi metod s pamyatyu dlya resheniya variatsionnykh neravenstv so svyazannymi ogranicheniyami”, Omskii nauchnyi vestnik, 2012, no. 113, 274–277  elib
    7. Kulbida U.N., Kaneva O.N., Zykina A.V., “Media Planning Optimization Treatment”, 2014 Dynamics of Systems, Mechanisms and Machines (Dynamics), ed. Kosykh A., IEEE, 2014  isi
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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