Optimization Models

Optimization Models
Title Optimization Models PDF eBook
Author Giuseppe C. Calafiore
Publisher Cambridge University Press
Pages 651
Release 2014-10-31
Genre Business & Economics
ISBN 1107050871

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This accessible textbook demonstrates how to recognize, simplify, model and solve optimization problems - and apply these principles to new projects.

Numerical Optimization

Numerical Optimization
Title Numerical Optimization PDF eBook
Author Jorge Nocedal
Publisher Springer Science & Business Media
Pages 686
Release 2006-12-11
Genre Mathematics
ISBN 0387400656

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Optimization is an important tool used in decision science and for the analysis of physical systems used in engineering. One can trace its roots to the Calculus of Variations and the work of Euler and Lagrange. This natural and reasonable approach to mathematical programming covers numerical methods for finite-dimensional optimization problems. It begins with very simple ideas progressing through more complicated concepts, concentrating on methods for both unconstrained and constrained optimization.

Practical Mathematical Optimization

Practical Mathematical Optimization
Title Practical Mathematical Optimization PDF eBook
Author Jan A Snyman
Publisher Springer
Pages 388
Release 2018-05-02
Genre Mathematics
ISBN 3319775863

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This book presents basic optimization principles and gradient-based algorithms to a general audience, in a brief and easy-to-read form. It enables professionals to apply optimization theory to engineering, physics, chemistry, or business economics.

Mathematical Optimization and Economic Analysis

Mathematical Optimization and Economic Analysis
Title Mathematical Optimization and Economic Analysis PDF eBook
Author Mikulás Luptácik
Publisher Springer Science & Business Media
Pages 299
Release 2009-10-03
Genre Mathematics
ISBN 0387895523

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"Mathematical Optimization and Economic Analysis" is a self-contained introduction to various optimization techniques used in economic modeling and analysis such as geometric, linear, and convex programming and data envelopment analysis. Through a systematic approach, this book demonstrates the usefulness of these mathematical tools in quantitative and qualitative economic analysis. The book presents specific examples to demonstrate each technique’s advantages and applicability as well as numerous applications of these techniques to industrial economics, regulatory economics, trade policy, economic sustainability, production planning, and environmental policy. Key Features include: - A detailed presentation of both single-objective and multiobjective optimization; - An in-depth exposition of various applied optimization problems; - Implementation of optimization tools to improve the accuracy of various economic models; - Extensive resources suggested for further reading. This book is intended for graduate and postgraduate students studying quantitative economics, as well as economics researchers and applied mathematicians. Requirements include a basic knowledge of calculus and linear algebra, and a familiarity with economic modeling.

Mathematics of Optimization: How to do Things Faster

Mathematics of Optimization: How to do Things Faster
Title Mathematics of Optimization: How to do Things Faster PDF eBook
Author Steven J. Miller
Publisher American Mathematical Soc.
Pages 353
Release 2017-12-20
Genre Business & Economics
ISBN 1470441144

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Optimization Theory is an active area of research with numerous applications; many of the books are designed for engineering classes, and thus have an emphasis on problems from such fields. Covering much of the same material, there is less emphasis on coding and detailed applications as the intended audience is more mathematical. There are still several important problems discussed (especially scheduling problems), but there is more emphasis on theory and less on the nuts and bolts of coding. A constant theme of the text is the “why” and the “how” in the subject. Why are we able to do a calculation efficiently? How should we look at a problem? Extensive effort is made to motivate the mathematics and isolate how one can apply ideas/perspectives to a variety of problems. As many of the key algorithms in the subject require too much time or detail to analyze in a first course (such as the run-time of the Simplex Algorithm), there are numerous comparisons to simpler algorithms which students have either seen or can quickly learn (such as the Euclidean algorithm) to motivate the type of results on run-time savings.

Practical Mathematical Optimization

Practical Mathematical Optimization
Title Practical Mathematical Optimization PDF eBook
Author Jan Snyman
Publisher Springer Science & Business Media
Pages 271
Release 2005-12-15
Genre Mathematics
ISBN 0387243496

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This book presents basic optimization principles and gradient-based algorithms to a general audience, in a brief and easy-to-read form. It enables professionals to apply optimization theory to engineering, physics, chemistry, or business economics.

Facility Layout

Facility Layout
Title Facility Layout PDF eBook
Author Miguel F. Anjos
Publisher Springer Nature
Pages 121
Release 2021-04-24
Genre Business & Economics
ISBN 3030709906

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This book presents a structured approach to develop mathematical optimization formulations for several variants of facility layout. The range of layout problems covered includes row layouts, floor layouts, multi-floor layouts, and dynamic layouts. The optimization techniques used to formulate the problems are primarily mixed-integer linear programming, second-order conic programming, and semidefinite programming. The book also covers important practical considerations for solving the formulations. The breadth of approaches presented help the reader to learn how to formulate a variety of problems using mathematical optimization techniques. The book also illustrates the use of layout formulations in selected engineering applications, including manufacturing, building design, automotive, and hospital layout.