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Titlebook: Optimization with Multivalued Mappings; Theory, Applications Stephan Dempe,Vyacheslav Kalashnikov Book 2006 Springer-Verlag US 2006 Bilevel

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书目名称Optimization with Multivalued Mappings
副标题Theory, Applications
编辑Stephan Dempe,Vyacheslav Kalashnikov
视频video
概述Latest approaches and applications are discussed.Includes supplementary material:
丛书名称Springer Optimization and Its Applications
图书封面Titlebook: Optimization with Multivalued Mappings; Theory, Applications Stephan Dempe,Vyacheslav Kalashnikov Book 2006 Springer-Verlag US 2006 Bilevel
描述.In the field of nondifferentiable nonconvex optimization, one of the most intensely investigated areas is that of optimization problems involving multivalued mappings in constraints or as the objective function. This book focuses on the tremendous development in the field that has taken place since the publication of the most recent volumes on the subject. The new topics studied include the formulation of optimality conditions using different kinds of generalized derivatives for set-valued mappings (such as, for example, the coderivative of Mordukhovich), the opening of new applications (e.g., the calibration of water supply systems), or the elaboration of new solution algorithms (e.g., smoothing methods). ..The book is divided into three parts. The focus in the first part is on bilevel programming. The chapters in the second part contain investigations of mathematical programs with equilibrium constraints. The third part is on multivalued set-valued optimization. The chapters were written by outstanding experts in the areas of bilevel programming, mathematical programs with equilibrium (or complementarity) constraints (MPEC), and set-valued optimization problems. ..
出版日期Book 2006
关键词Bilevel programming; Nonconvex programming; Nondifferentiable programming; Optimality conditions; SOIA; S
版次1
doihttps://doi.org/10.1007/0-387-34221-4
isbn_softcover978-1-4419-4167-1
isbn_ebook978-0-387-34221-4Series ISSN 1931-6828 Series E-ISSN 1931-6836
issn_series 1931-6828
copyrightSpringer-Verlag US 2006
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Stephan Dempe,Vyatcheslav V. Kalashnikov,Nataliya Kalashnykovaact that the tangent stiffness of these structural models may be nonsymmetric. Classical and polar models of continua are investigated and a critical analysis of the commonly adopted strain measures is performed. It is emphasized that the kinematic space of a polar continuum is a non-linear differen
发表于 2025-3-22 04:55:09 | 显示全部楼层
Mohamed Didi-Biha,Patrice Marcotte,Gilles Savardact that the tangent stiffness of these structural models may be nonsymmetric. Classical and polar models of continua are investigated and a critical analysis of the commonly adopted strain measures is performed. It is emphasized that the kinematic space of a polar continuum is a non-linear differen
发表于 2025-3-22 10:46:47 | 显示全部楼层
Optimality conditions for bilevel programming problems set of the bilevel programming problem to derive such conditions for the optimistic bilevel problem. More precise conditions are obtained if the tangent cone possesses an explicit description as it is possible in the case of linear lower level problems. If the optimal solution of the lower level pr
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Optimality criteria for bilevel programming problems using the radial subdifferentialy convex objective function. Using both the optimistic and the pessimistic approach this problem is reduced to the minimization of auxiliary nondifferentiable and generally discontinuous functions. To develop necessary and sufficient optimality conditions for the bilevel problem the radial-direction
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A direct proof for M-stationarity under MPEC-GCQ for mathematical programs with equilibrium constraisual Karush-Kuhn-Tucker conditions cannot be viewed as first order optimality conditions unless relatively strong assumptions are satisfied. This observation has lead to a number of weaker first order conditions, with M-stationarity being the strongest among these weaker conditions. Here we show tha
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On the use of bilevel programming for solving a structural optimization problem with discrete variabtransformed into a Mathematical Program with Equilibrium (or Complementarity) Constraints (MPEC) by exploiting the Karush-Kuhn-Tucker conditions of the follower’s problem..A complementarity active-set algorithm for finding a stationary point of the corresponding MPEC and a sequential complementarity
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On the control of an evolutionary equilibrium in micromagneticswe construct an evolutionary infinite-dimensional model which is discretized both in the space as well as in time variables. The evolutionary nature of this equilibrium is due to the hysteresis behavior of the respective magnetization process. To solve the problem numerically, we adapted the implici
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