Please use this identifier to cite or link to this item: https://dspace.ctu.edu.vn/jspui/handle/123456789/100870
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dc.contributor.authorLe, Dung Muu-
dc.contributor.authorNguyen, Van Quy-
dc.date.accessioned2024-05-23T01:57:40Z-
dc.date.available2024-05-23T01:57:40Z-
dc.date.issued2020-
dc.identifier.issn0251-4184-
dc.identifier.urihttps://dspace.ctu.edu.vn/jspui/handle/123456789/100870-
dc.description.abstractWe use techniques from global optimization to develop an algorithm for finding a global solution of nonconvex mixed variational inequality problems involving separable DC cost functions. In contrast to the convex mixed variational inequality, in these problems, a local solution may not be a global one. The proposed algorithm uses the convex envelope of the separable cost function over boxes to approximate a DC cost problem with a convex cost one that can be solved by available methods. To obtain better approximate solutions. the algorithm uses an adaptive rectangular bisection which is performed only in the space of concave variables. The algorithm is applied to solve the Nash-cournot and Bertrand equilibrium models with logarithm and quadratic concave costs. Computational results on a lot number of randomly generated data show that the proposed algorithm is efficient for these models, when the number of the concave cost functions is moderate, while the size of the model may be much larger.vi_VN
dc.language.isoenvi_VN
dc.relation.ispartofseriesActa mathematica Vietnamica journal;Vol.45, No.02 .- P.449-462-
dc.subjectDC optimizationvi_VN
dc.subjectNonconvex mixed variational inequalityvi_VN
dc.subjectNash cournot oligopolistic modelvi_VN
dc.subjectConcave costvi_VN
dc.subjectGlobal solutionvi_VN
dc.subjectGap functionvi_VN
dc.subjectConvex envelopevi_VN
dc.titleGlobal optimization from concave minimization to concave mixed variational inequalityvi_VN
dc.typeArticlevi_VN
Appears in Collections:Acta Mathematica Vietnamica 

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