Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 21 for “"duality theory"”.
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A matrix-free linear programming duality theory
Thesis: M.S., Massachusetts Institute of Technology, Department of Mathematics, 1979
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Aspects of duality theory for spaces of measurable operators
… measure space. In non-commutative integration theory, a von Neumann algebra takes over the role of the space of essentially bounded measurable functions. If the von Neumann algebra is semifinite, then there exists a faithful semifinite normal trace on it. Equipped with such a trace, a topology …
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A Numerical Investigation Of The Canonical Duality Method For Non-Convex Variational Problems
… and numerical investigation of the canonical duality theory, which has been recently proposed as an alternative to the classic and direct methods for non-convex variational problems. These non-convex variational problems arise in a wide range of scientific and engineering applications, such as …
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DUALITY IN NONLINEAR VECTOR OPTIMIZATION
… we attempted to give a systematic account of duality theory for a convex vector optimization nonlinear programming problem, In mathematical programming, duality means in association to, say a minimization problem, we maximize a related problem, called its dual. Occasionally, the dual problem …
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Implementação de um algoritmo dual para a otimização de sistemas decomponíveis
… sets is sinthetized based on results from duality theory. Its appication to the outer linearized problem results in a convergent method for the solution of the original problem. A computer program has been developed.
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Thrust Network Analysis : exploring three-dimensional equilibrium
… a defined envelope. Using projective geometry, duality theory and linear optimization, it provides a graphical and intuitive method, adopting the same advantages of techniques such as graphic statics, but offering a viable extension to fully three-dimensional problems. The proposed method is …
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Economic Measurement of Consumers and Firms: A Model Consistent Approach
… Striking a delicate balance between the theory and art of modelling is examined as a way to promote economics as a social science. This is accomplished by looking at more traditional approaches to economics, especially those encapsulated in consumer theory and the theory of the firm, and …
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Inverse optimization of discrete-time systems applied to human locomotion
… a particular focus on the relationship between duality theory and inverse optimization. We then proceed to describe our solution approach. Finally, we apply our approach to find a model of goal-directed human walking from experimental data with human subjects.
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On the slope filtration of [phi]-modules over the Robba ring
… characteristic formula and Tate local duality for p-adic representations. These results are expected to intervene in the duality theory for Selmer groups associated to de Rham representations. We introduce the notion of families of [phi]-modules which arises naturally from both rigid …
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An analysis of subsidies within the plastics recycling industry
… to the regression analysis, the study builds the theory behind production and cost function analysis (in addition to the associated duality theory). However, due to the combination of the research question and the limited data availability, an alternative model was adopted, in order to explain as …
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Optimization under moment, robust, and data-driven models of uncertainty
… hierarchy of moment relaxation and the moment duality theory. We then propose a moment-based uncertainty model for stochastic optimization problems, which addresses the ambiguity of probability distributions of random parameters with a minimax decision rule. We establish the model tractability …
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DESIGN OF MULTIVARIABLE FEEDBACK CONTROLLERS: ITALIC-L(1)-OPTIMAL SYSTEMS
… of the error transfer function. Employing the duality theory in optimization, this problem is converted to a finite dimensional programming problem. In discrete-time systems, optimal solutions are obtained by solving linear programming problems and sets of linear equations. This result, …
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Coordination of distributed energy resources for a reliable, resilient, and affordable decarbonized grid
… models. Grid services are also priced based on duality theory. Numerical simulations show improved dispatch efficiency, reliability, voltage regulation, and lower retail electricity rates. Second, the thesis applies game theory and mechanism design to extract flexibility from autonomous, …
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Evaluation of the importance and magnitude of agricultural maintenance research in the United States
… overall length and shape of the research lag. Duality theory was used to obtain the output supply (foodgrains, feedgrains, other crops, hay, livestock, and poultry), input demand (feed, fertilizer, fuel, and labor) equations. The fixed factors included were land, research, extension, education, …
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Pricing for retail, social networks and green technologies
… the existence of a pure Nash equilibrium. Using duality theory and integer programming techniques, we reformulate the problem into a linear mixed-integer program. We then derive efficient ways of optimally solving the problem for discriminative and uniform pricing strategies. The third part …
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An analysis of sources of growth in French agriculture 1960-1984
… based on the assumption of profit maximization. Duality theory is used to derive short- and long-run output supply and input demand equations. All variables controlled by the decision-maker are endogenized. These include output supplies (cereals, other crop products, milk, other animal products), …
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Design and analysis of competitive electricity markets
… of the optimal power flow problem and leverage duality theory to define prices for electricity as the optimal Lagrange multipliers of nodal real and reactive power balance constraints. We demonstrate that such prices stand on sound economic principles that together with scalar-parameterized …
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Three approaches to measuring natural resource scarcity : theory and application to groundwater
… valuation of groundwater quality. In chapter 5 duality theory is employed to develop the distance function methodology of deriving shadow groundwater scarcity rents. The empirical application of the model involves estimating a stochastic input distance function from which the in situ shadow …
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Categories of Residuated Lattices
… by both new algebraic results, and new duality-theoretic tools. On the algebraic front, we provide a complete description of implications among nontrivial distribution properties in the context of lattice-ordered structures equipped with a residuated binary operation. We also offer some …
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Essays on the Use of Duality, Robust Empirical Methods, Panel Treatments, and Model Averaging with Applications to Housing Price Index Construction and World Productivity Growth
… and market prices. Chapter 2 utilizes the duality between the production maximization problem and cost minimization problem to uncover the shadow prices of inputs, and constructs corresponding price indexes for further analysis. This chapter is motivated by recent housing bubbles and …
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