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Optimal Control Theory: An Introduction
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Donald E Kirk
Upper-level undergraduate text introduces aspects of optimal control theory: dynamic programming, Pontryagin's minimum principle, and numerical techniques for trajectory optimization. Numerous figures, tables. Solution guide available upon request. 1970 edition.
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Combinatorial Optimization: Algorithms and Complexity
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Christos H Papadimitriou
This graduate-level text considers the Soviet ellipsoid algorithm for linear programming; efficient algorithms for network flow, matching, spanning trees, and matroids; the theory of NP-complete problems; local search heuristics for NP-complete problems, more. 1982 edition.
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Numerical Optimization
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Jorge Nocedal, Stephen J Wright
"Numerical Optimization" presents a comprehensive and up-to-date description of the most effective methods in continuous optimization. It responds to the growing interest in optimization in engineering, science, and business by focusing on the methods that are best suited to practical problems. Drawing on their experiences in teaching, research, ...
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A First Course in Optimization Theory
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Rangarajan K Sundaram
This book introduces students to optimization theory and its use in economics and allied disciplines. The first of its three parts examines the existence of solutions to optimization problems in Rn, and how these solutions may be identified. The second part explores how solutions to optimization problems change with changes in the underlying ...
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Network Flows: Theory, Algorithms, and Applications
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Ravindra K Ahuja, James B Orlin, Thomas L Magnanti
A comprehensive introduction to network flows that brings together the classic and the contemporary aspects of the field, and provides an integrative view of theory, algorithms and applications.* presents in-depth, self-contained treatments of shortest path, maximum flow, and minimum cost flow problems, including descriptions of polynomial-time ...
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Convex Optimization
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Stephen Boyd, Lieven Vandenberghe
Convex optimization problems arise frequently in many different fields. This book provides a comprehensive introduction to the subject, and shows in detail how such problems can be solved numerically with great efficiency. The book begins with the basic elements of convex sets and functions, and then describes various classes of convex ...
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Optimization in Operations Research
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Ronald L Rardin
This book is specifically designed to change the way deterministic optimization is taught to introductory students. Toward this end, it exposes students to the broad scope of the topic, reinforces the basic principles, sparks students' enthusiasm about the field, provides tools of immediate relevance and develops the skills necessary to use those ...
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Linear Programming: Foundations and Extensions
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Robert J Vanderbei
This book focuses largely on constrained optimization. It begins with a substantial treatment of linear programming and proceeds to convex analysis, network flows, integer programming, quadratic programming, and convex optimization. Along the way, dynamic programming and the linear complementarity problem are touched on as well. This book aims to ...
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Introduction to Linear Optimization
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Dimitris Bertsimas
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Applied Optimal Control: Optimization, Estimation, and Control
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by
Arthur E Bryson
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Practical Methods of Optimization
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by
R Fletcher
Fully describes optimization methods that are currently most valuable in solving real-life problems. Since optimization has applications in almost every branch of science and technology, the text emphasizes their practical aspects in conjunction with the heuristics useful in making them perform more reliably and efficiently. To this end, it ...
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Convex Analysis and Nonlinear Optimization: Theory and Examples
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by
Jonathan Borwein, Adrian S Lewis
Optimization is a rich and thriving mathematical discipline. The theory underlying current computational optimization techniques grows ever more sophisticated. The powerful and elegant language of convex analysis unifies much of this theory. The aim of this book is to provide a concise, accessible account of convex analysis and its applications ...
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Optimization in Economic Theory
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by
Avinash K. Dixit
In the new edition of this student text, the author has made substantial revisions and additions to enhance the book's usefulness without destroying its character as a lucid and readable text. Most economics courses separate the teaching of the mathematics of constrained maximization from its economic applications. The aim of this book is to ...
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Optimization by Vector Space Methods
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by
David Gilbert Luenberger
Engineers must make decisions regarding the distribution of expensive resources in a manner that will be economically beneficial. This problem can be realistically formulated and logically analyzed with optimization theory. This book shows engineers how to use optimization theory to solve complex problems. Unifies the large field of optimization ...
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Numerical Methods for Unconstrained Optimization and Nonlinear Equations
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by
J E Dennis
This book has become the standard for a complete, state-of-the-art description of the methods for unconstrained optimization and systems of nonlinear equations. Originally published in 1983, it provides information needed to understand both the theory and the practice of these methods and provides pseudocode for the problems. The algorithms ...
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Introduction to Material and Energy Balances
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by
G V Reklaitis
A thorough introduction to balance equation concepts. Geared for the course offered to chemical engineering majors in their sophomore year. Develops a framework for the analysis of flowsheet problem information with extensive use of degree-of-freedom analysis. Presents systematic approaches for manual and computer-aided solution of full scale ...
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Optimal Control Theory and Static Optimization in Economics
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by
Daniel Leonard, Ngo Van Long
Optimal control theory is a technique being used increasingly by academic economists to study problems involving optimal decisions in a multi-period framework. This textbook is designed to make the difficult subject of optimal control theory easily accessible to economists while at the same time maintaining rigour. Economic intuitions are ...
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Practical Optimization: Algorithms and Engineering Applications
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by
Andreas Antoniou, Wu-Sheng Lu
"Practical Optimization: Algorithms and Engineering Applications" provides a hands-on treatment of the subject of optimization. A comprehensive set of problems and exercises makes the book suitable for use in one or two semesters of a first-year graduate course or an advanced undergraduate course. Each half of the book contains a full semester's ...
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Designing Economic Mechanisms
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Leonid Hurwicz, Stanley Reiter
A mechanism is a mathematical structure that models institutions through which economic activity is guided and coordinated. There are many such institutions; markets are the most familiar ones. Lawmakers, administrators and officers of private companies create institutions in order to achieve desired goals. They seek to do so in ways that ...
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Applied Optimization with MATLAB Programming
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P Venkataraman
A new approach to learning classical optimization methodsnumerical techniques modeled and illustrated via MATLAB This unique and timely volume combines a formal presentation of classical methods of design optimization with detailed instruction in the application of these methods using MATLAB. It introduces readers to the symbolic, numerical, and ...
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Variational methods in optimization
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by
Donald R Smith
Highly readable text elucidates applications of the chain rule of differentiation, integration by parts, parametric curves, line integrals, double integrals, and elementary differential equations. 1974 edition.
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Studies in Optimization
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B. C. Eaves (Editor), George Bernard Dantzig
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Optimization Methods in Finance
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Gerard Cornuejols, Reha Tutuncu
Optimization models play an increasingly important role in financial decisions. This is the first textbook devoted to explaining how recent advances in optimization models, methods and software can be applied to solve problems in computational finance more efficiently and accurately. Chapters discussing the theory and efficient solution methods ...
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Optimization of Chemical Processes
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Thomas Edgar, David Mautner Himmelblau
This book is an update of a successful first edition that has been extremely well received by the experts in the chemical process industries. The authors explain both the theory and the practice of optimization, with the focus on the techniques and software that offer the most potential for success and give reliable results. Applications and case ...
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Optimization Modeling with Spreadsheets
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by
Kenneth Baker, S.J
Spreadsheet-based introduction to mathematical programming concepts and applications, intended for undergraduate and graduate students in management and engineering. Its emphasis on model building and its focus on formulation principles are key features that reinforce its practical approach. The text also includes a comprehensive tutorial on the ...
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