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Browsing Preprints aus dem Institut für Mathematik by Author "Dentcheva, Darinka"
Now showing items 1-11 of 11
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2005-11-14BuchApproximations, Expansions and Univalued Representations of Multifunctions Dentcheva, DarinkaWe consider multifunctions acting between two linear normed spaces and having closed convex images. Approximations are considered which serve as an expansion of it. Generalized delta theorems for random sets in infinite ...
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2005-11-02BuchDifferentiable Selections of Set-Valued Mappings Dentcheva, DarinkaWe consider set-valued mappings defined on a linear normed space with convex closed images in IRn. Our aim is to construct selections which are (Hadamard) directionally differentiable using some approximation of the ...
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2005-11-16BuchDifferentiable Selections of Set-Valued Mappings and Asymptotic Behavior of Random Sets in Infinite Dimensions Dentcheva, DarinkaWe consider set-valued mappings acting between two linear normed spaces and having convex closed images. Our aim is to construct selections with directional differentiability properties up to the second order, using certain ...
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2005-11-02BuchDifferential Stability of Two-Stage Stochastic Programs Dentcheva, Darinka; Römisch, WernerTwo-stage stochastic programs with random right-hand side are considered. Optimal values and solution sets are regarded as mappings of the expected recourse functions and their perturbations, respectively. Conditions are ...
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2005-11-04BuchDuality gaps in nonconvex stochastic optimization Dentcheva, Darinka; Römisch, WernerWe consider multistage stochastic optimization models. Logical or integrality constraints, frequently present in optimization models, limit the application of powerful convex analysis tools. Different Lagrangian relaxation ...
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2005-11-14BuchOn Differentiability of Metric Projections onto Moving Convex Sets Dentcheva, DarinkaWe consider properties of the metric projections onto moving convex sets in normed linear spaces. Under certain conditions about the norm, directional differentiability (of higher order) of the metric projections at boundary ...
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2005-11-15BuchOn Stochastic Integer Programming under Probabilistic Constraints Dentcheva, Darinka; Prékopa, András; Ruszczynski, AndrzejWe consider stochastic programming problems with probabilistic constraints involving integer-valued random variables. The concept of p-efficient points of a probability distribution is used to derive various equivalent ...
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2005-11-02BuchOptimal Power Generation under Uncertainty via Stochastic Programming Dentcheva, Darinka; Römisch, WernerA power generation system comprising thermal and pumped-storage hydro plants is considered. Two kinds of models for the cost-optimal generation of electric power under uncertain load are introduced: (i) a dynamic model for ...
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2005-10-21BuchOptimale Blockauswahl bei der Kraftwerkseinsatzplanung Dentcheva, Darinka; Möller, Andris; Reeh, P.; Römisch, Werner; Schultz, Rüdiger; Schwarzbach, G.; Thomas, J.The paper addresses the unit commitment problem in power plant operation planning. For a real power system comprising coal and gas fired thermal as well as pumped storage hydro plants a largescale mixed integer optimization ...
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1998-05-29BuchRegular Castaing Representations of Multifunctions with Applications to Stochastic Programming Dentcheva, DarinkaWe consider set-valued mappings defined on a topological space with convex closed images in $\R^n$. The measurability of a multifunction is characterized by the existence of a Castaing representation for it: a countable ...
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2005-10-26BuchSolving the Unit Commitment Problem in Power Generation by Primal and Dual Methods Dentcheva, Darinka; Gollmer, R.; Möller, Andris; Römisch, Werner; Schultz, RüdigerThe unit commitment problem in power plant operation planning is addressed. For a real power system comprising coal- and gas-fired thermal and pumped-storage hydroplants a large-scale mixed integer optimization model for ...