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Mathematical optimization --- 519.855 --- Homotopy theory --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Deformations, Continuous --- Topology --- Parametric programming --- 519.855 Parametric programming
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This book presents a coherent and systematic exposition of the mathematical theory of the problems of optimization and stability. Both of these are topics central to economic analysis since the latter is so much concerned with the optimizing behaviour of economic agents and the stability of the interaction processes to which this gives rise. The topics covered include convexity, mathematical programming, fixed point theorems, comparative static analysis and duality, the stability of dynamic systems, the calculus of variations and optimal control theory. The authors present a more detailed and wide-ranging discussion of these topics than is to be found in the few books which attempt a similar coverage. Although the text deals with fairly advanced material, the mathematical prerequisites are minimised by the inclusion of an integrated mathematical review designed to make the text self-contained and accessible to the reader with only an elementary knowledge of calculus and linear algebra. A novel feature of the book is that it provides the reader with an understanding and feel for the kinds of mathematical techniques most useful for dealing with particular economic problems. This is achieved through an extensive use of a broad range of economic examples (rather than the numerical/algebraic examples so often found).This is suitable for use in advanced undergraduate and postgraduate courses in economic analysis and should in addition prove a useful reference work for practising economists.
Quantitative methods (economics) --- Mathematical optimization. --- Economics, Mathematical. --- AA / International- internationaal --- 330.2 --- Economische analyse en research. Theorie van de informatie. --- Mathematical optimization --- Economics, Mathematical --- Economische analyse en research. Theorie van de informatie --- Business, Economy and Management --- Economics --- Mathematical economics --- Econometrics --- Mathematics --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Methodology
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Numerical methods of optimisation --- Mathematical optimization --- Optimisation mathématique --- Congresses. --- Data processing --- Congrès --- Congresses --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Optimisation mathématique --- Congrès --- Data processing&delete& --- Mathematical optimization - Data processing - Congresses --- Mathematical optimization - Congresses
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Mathematical optimization --- Algorithms --- Nonlinear programming --- 519.244 --- 519.2 --- Programming (Mathematics) --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Algorism --- Algebra --- Arithmetic --- Sequential methods. Optimal stopping. Cusum technique (cumulative sum technique) --- Probability. Mathematical statistics --- Foundations --- 519.2 Probability. Mathematical statistics --- 519.244 Sequential methods. Optimal stopping. Cusum technique (cumulative sum technique) --- Acqui 2006
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"All subareas of Computing and Decision Sciences, in particular: computational complexity theory, parallel computations, combinatorics, consistency control, scheduling theory, distributed algorithms and systems, networking, databases, artificial intellingence (especially knowledge engineering, reasoning and learning models, search methods, speech recognition and synthesis), human-computer communication) ... decision analysis ... decision support systems, production and project scheduling."
Computer science. --- Machine theory. --- Mathematical optimization. --- Computer science --- Machine theory --- Mathematical optimization --- Informatique --- Automates mathématiques, Théorie des --- Optimisation mathématique --- Periodicals. --- Périodiques --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Abstract automata --- Abstract machines --- Automata --- Mathematical machine theory --- Informatics --- Computer Science --- decision theory --- operation research --- data mining --- knowledge discovery --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Algorithms --- Logic, Symbolic and mathematical --- Recursive functions --- Robotics --- Science --- computer science
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Mathematical optimization --- Nonlinear programming --- 681.3*G16 --- Programming (Mathematics) --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Optimization: constrained optimization; gradient methods; integer programming; least squares methods; linear programming; nonlinear programming (Numericalanalysis) --- Mathematical optimization. --- Nonlinear programming. --- 681.3*G16 Optimization: constrained optimization; gradient methods; integer programming; least squares methods; linear programming; nonlinear programming (Numericalanalysis)
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Decision Making --- Econometrics --- Game theory --- Mathematical optimization --- 330.115 --- 330.105 --- Decision making --- Deciding --- Decision (Psychology) --- Decision analysis --- Decision processes --- Making decisions --- Management --- Management decisions --- Choice (Psychology) --- Problem solving --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Games, Theory of --- Theory of games --- Mathematical models --- Mathematics --- Economics, Mathematical --- Statistics --- Econometrie --- Wiskundige economie. Wiskundige methoden in de economie --- Dreze, Jacques H. --- Drèze, J. H. --- 330.105 Wiskundige economie. Wiskundige methoden in de economie --- 330.115 Econometrie --- Drèze, Jacques H. --- Drèze, Jacques H.
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Programming --- Operational research. Game theory --- Algorithms --- Computational complexity --- Integer programming --- Linear programming --- Mathematical optimization --- Algorithmes --- Complexité de calcul (Informatique) --- Programmation en nombres entiers --- Programmation linéaire --- Optimisation mathématique --- Computational Complexity --- Linear Programming --- 519.87 --- Knapsack problem (Mathematics) --- 681.3*G16 --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Matrices --- Production scheduling --- Programming (Mathematics) --- Substitutions, Linear --- Transformations (Mathematics) --- Vector analysis --- Complexity, Computational --- Electronic data processing --- Machine theory --- Algorism --- Algebra --- Arithmetic --- Mathematical models for operational research --- Optimization: constrained optimization; gradient methods; integer programming; least squares methods; linear programming; nonlinear programming (Numericalanalysis) --- Foundations --- Algorithms. --- Computational complexity. --- Integer programming. --- Linear programming. --- Mathematical optimization. --- Knapsack problem (Mathematics). --- 681.3*G16 Optimization: constrained optimization; gradient methods; integer programming; least squares methods; linear programming; nonlinear programming (Numericalanalysis) --- 519.87 Mathematical models for operational research --- Complexité de calcul (Informatique) --- Programmation linéaire --- Optimisation mathématique
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Significant research activity has occurred in the area of global optimization in recent years. Many new theoretical, algorithmic, and computational contributions have resulted. Despite the major importance of test problems for researchers, there has been a lack of representative nonconvex test problems for constrained global optimization algorithms. This book is motivated by the scarcity of global optimization test problems and represents the first systematic collection of test problems for evaluating and testing constrained global optimization algorithms. This collection includes problems arising in a variety of engineering applications, and test problems from published computational reports.
Algorithmes --- Algorithms --- Algoritmen --- Engineering -- Mathematics --- Engineering analysis --- Engineering mathematics --- Ingénierie -- Mathématiques --- Mathematical optimization --- Mathématiques de l'ingénieur --- Niet-lineaire programmering --- Nonlinear programming --- Optimalisation mathématique --- Programmation non lineaire --- Wiskunde voor ingenieurs --- Wiskundige optimisatie --- 519.6 --- 519.85 --- 681.3*G16 --- Computational mathematics. Numerical analysis. Computer programming --- Mathematical programming --- Optimization: constrained optimization; gradient methods; integer programming; least squares methods; linear programming; nonlinear programming (Numericalanalysis) --- Optimisation mathématique --- Programmation non linéaire --- 681.3*G16 Optimization: constrained optimization; gradient methods; integer programming; least squares methods; linear programming; nonlinear programming (Numericalanalysis) --- 519.85 Mathematical programming --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Engineering mathematics. --- Mathematical optimization. --- Nonlinear programming. --- Algorithms. --- Mathématiques de l'ingénieur. --- Optimisation mathématique. --- Programmation non linéaire. --- Algorithmes. --- Information theory. --- Chemistry. --- Numerical analysis. --- Systems theory. --- Economic theory. --- Theory of Computation. --- Computer Applications in Chemistry. --- Numerical Analysis. --- Systems Theory, Control. --- Calculus of Variations and Optimal Control; Optimization. --- Economic Theory/Quantitative Economics/Mathematical Methods. --- Mathematical analysis --- Physical sciences --- Economic theory --- Political economy --- Social sciences --- Economic man --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Communication theory --- Communication --- Cybernetics --- Mathématiques de l'ingénieur --- Optimisation mathématique --- Probleme de test
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