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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 11, Pages 1968–1978
(Mi zvmmf83)
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This article is cited in 8 scientific papers (total in 8 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.
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
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https://www.mathnet.ru/eng/zvmmf83 https://www.mathnet.ru/eng/zvmmf/v48/i11/p1968
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Abstract page: | 246 | Full-text PDF : | 85 | References: | 46 | First page: | 5 |
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