Advances In Mathematical Optimization

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Advances in Mathematical Modeling, Optimization and Optimal Control

Author : Jean-Baptiste Hiriart-Urruty
Publisher : Springer
ISBN 13 : 3319307851
Total Pages : 205 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Advances in Mathematical Modeling, Optimization and Optimal Control by : Jean-Baptiste Hiriart-Urruty

Download or read book Advances in Mathematical Modeling, Optimization and Optimal Control written by Jean-Baptiste Hiriart-Urruty and published by Springer. This book was released on 2016-05-19 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains extended, in-depth presentations of the plenary talks from the 16th French-German-Polish Conference on Optimization, held in Kraków, Poland in 2013. Each chapter in this book exhibits a comprehensive look at new theoretical and/or application-oriented results in mathematical modeling, optimization, and optimal control. Students and researchers involved in image processing, partial differential inclusions, shape optimization, or optimal control theory and its applications to medical and rehabilitation technology, will find this book valuable. The first chapter by Martin Burger provides an overview of recent developments related to Bregman distances, which is an important tool in inverse problems and image processing. The chapter by Piotr Kalita studies the operator version of a first order in time partial differential inclusion and its time discretization. In the chapter by Günter Leugering, Jan Sokołowski and Antoni Żochowski, nonsmooth shape optimization problems for variational inequalities are considered. The next chapter, by Katja Mombaur is devoted to applications of optimal control and inverse optimal control in the field of medical and rehabilitation technology, in particular in human movement analysis, therapy and improvement by means of medical devices. The final chapter, by Nikolai Osmolovskii and Helmut Maurer provides a survey on no-gap second order optimality conditions in the calculus of variations and optimal control, and a discussion of their further development.

Progress in Mathematical Programming

Author : Nimrod Megiddo
Publisher : Springer Science & Business Media
ISBN 13 : 1461396174
Total Pages : 164 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Progress in Mathematical Programming by : Nimrod Megiddo

Download or read book Progress in Mathematical Programming written by Nimrod Megiddo and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: The starting point of this volume was a conference entitled "Progress in Mathematical Programming," held at the Asilomar Conference Center in Pacific Grove, California, March 1-4, 1987. The main topic of the conference was developments in the theory and practice of linear programming since Karmarkar's algorithm. There were thirty presentations and approximately fifty people attended. Presentations included new algorithms, new analyses of algorithms, reports on computational experience, and some other topics related to the practice of mathematical programming. Interestingly, most of the progress reported at the conference was on the theoretical side. Several new polynomial algorithms for linear program ming were presented (Barnes-Chopra-Jensen, Goldfarb-Mehrotra, Gonzaga, Kojima-Mizuno-Yoshise, Renegar, Todd, Vaidya, and Ye). Other algorithms presented were by Betke-Gritzmann, Blum, Gill-Murray-Saunders-Wright, Nazareth, Vial, and Zikan-Cottle. Efforts in the theoretical analysis of algo rithms were also reported (Anstreicher, Bayer-Lagarias, Imai, Lagarias, Megiddo-Shub, Lagarias, Smale, and Vanderbei). Computational experiences were reported by Lustig, Tomlin, Todd, Tone, Ye, and Zikan-Cottle. Of special interest, although not in the main direction discussed at the conference, was the report by Rinaldi on the practical solution of some large traveling salesman problems. At the time of the conference, it was still not clear whether the new algorithms developed since Karmarkar's algorithm would replace the simplex method in practice. Alan Hoffman presented results on conditions under which linear programming problems can be solved by greedy algorithms."

Mathematics of Optimization: How to do Things Faster

Author : Steven J. Miller
Publisher : American Mathematical Soc.
ISBN 13 : 1470441144
Total Pages : 353 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Mathematics of Optimization: How to do Things Faster by : Steven J. Miller

Download or read book Mathematics of Optimization: How to do Things Faster written by Steven J. Miller and published by American Mathematical Soc.. This book was released on 2017-12-20 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Optimization Models

Author : Giuseppe C. Calafiore
Publisher : Cambridge University Press
ISBN 13 : 1107050871
Total Pages : 651 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Optimization Models by : Giuseppe C. Calafiore

Download or read book Optimization Models written by Giuseppe C. Calafiore and published by Cambridge University Press. This book was released on 2014-10-31 with total page 651 pages. Available in PDF, EPUB and Kindle. Book excerpt: This accessible textbook demonstrates how to recognize, simplify, model and solve optimization problems - and apply these principles to new projects.

Mathematical Optimization and Economic Theory

Author : Michael D. Intriligator
Publisher : SIAM
ISBN 13 : 0898715113
Total Pages : 515 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Mathematical Optimization and Economic Theory by : Michael D. Intriligator

Download or read book Mathematical Optimization and Economic Theory written by Michael D. Intriligator and published by SIAM. This book was released on 2002-01-01 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: A classic account of mathematical programming and control techniques and their applications to static and dynamic problems in economics.

Advances and Trends in Optimization with Engineering Applications

Author : Tamas Terlaky
Publisher : SIAM
ISBN 13 : 1611974674
Total Pages : 730 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Advances and Trends in Optimization with Engineering Applications by : Tamas Terlaky

Download or read book Advances and Trends in Optimization with Engineering Applications written by Tamas Terlaky and published by SIAM. This book was released on 2017-04-26 with total page 730 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization is of critical importance in engineering. Engineers constantly strive for the best possible solutions, the most economical use of limited resources, and the greatest efficiency. As system complexity increases, these goals mandate the use of state-of-the-art optimization techniques. In recent years, the theory and methodology of optimization have seen revolutionary improvements. Moreover, the exponential growth in computational power, along with the availability of multicore computing with virtually unlimited memory and storage capacity, has fundamentally changed what engineers can do to optimize their designs. This is a two-way process: engineers benefit from developments in optimization methodology, and challenging new classes of optimization problems arise from novel engineering applications. Advances and Trends in Optimization with Engineering Applications reviews 10 major areas of optimization and related engineering applications, providing a broad summary of state-of-the-art optimization techniques most important to engineering practice. Each part provides a clear overview of a specific area and discusses a range of real-world problems. The book provides a solid foundation for engineers and mathematical optimizers alike who want to understand the importance of optimization methods to engineering and the capabilities of these methods.

Recent Developments in Mathematical Programming

Author : Santosh Kumar
Publisher : CRC Press
ISBN 13 : 1000657620
Total Pages : 470 pages
Book Rating : 4.0/5 (6 download)

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Book Synopsis Recent Developments in Mathematical Programming by : Santosh Kumar

Download or read book Recent Developments in Mathematical Programming written by Santosh Kumar and published by CRC Press. This book was released on 2022-01-27 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is concerned with theoretical developments in the area of mathematical programming, development of new algorithms and software and their applications in science and industry. It aims to expose recent mathematical developments to a larger audience in science and industry.

Modern Optimization Modelling Techniques

Author : Roberto Cominetti
Publisher : Springer Science & Business Media
ISBN 13 : 3034802919
Total Pages : 265 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Modern Optimization Modelling Techniques by : Roberto Cominetti

Download or read book Modern Optimization Modelling Techniques written by Roberto Cominetti and published by Springer Science & Business Media. This book was released on 2012-08-28 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of optimization, understood in a broad sense, is the basis of modern applied mathematics, covering a large spectrum of topics from theoretical considerations (structure, stability) to applied operational research and engineering applications. The compiled material of this book puts on display this versatility, by exhibiting the three parallel and complementary components of optimization: theory, algorithms, and practical problems. The book contains an expanded version of three series of lectures delivered by the authors at the CRM in July 2009. The first part is a self-contained course on the general moment problem and its relations with semidefinite programming. The second part is dedicated to the problem of determination of Nash equilibria from an algorithmic viewpoint. The last part presents congestion models for traffic networks and develops modern optimization techniques for finding traffic equilibria based on stochastic optimization and game theory.

Optimization Theory with Applications

Author : Donald A. Pierre
Publisher : Courier Corporation
ISBN 13 : 0486136957
Total Pages : 644 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Optimization Theory with Applications by : Donald A. Pierre

Download or read book Optimization Theory with Applications written by Donald A. Pierre and published by Courier Corporation. This book was released on 2012-07-12 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: Broad-spectrum approach to important topic. Explores the classic theory of minima and maxima, classical calculus of variations, simplex technique and linear programming, optimality and dynamic programming, more. 1969 edition.

Mathematical Analysis and Optimization for Economists

Author : Michael J. Panik
Publisher : CRC Press
ISBN 13 : 1000408841
Total Pages : 343 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Mathematical Analysis and Optimization for Economists by : Michael J. Panik

Download or read book Mathematical Analysis and Optimization for Economists written by Michael J. Panik and published by CRC Press. This book was released on 2021-09-30 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Mathematical Analysis and Optimization for Economists, the author aims to introduce students of economics to the power and versatility of traditional as well as contemporary methodologies in mathematics and optimization theory; and, illustrates how these techniques can be applied in solving microeconomic problems. This book combines the areas of intermediate to advanced mathematics, optimization, and microeconomic decision making, and is suitable for advanced undergraduates and first-year graduate students. This text is highly readable, with all concepts fully defined, and contains numerous detailed example problems in both mathematics and microeconomic applications. Each section contains some standard, as well as more thoughtful and challenging, exercises. Solutions can be downloaded from the CRC Press website. All solutions are detailed and complete. Features Contains a whole spectrum of modern applicable mathematical techniques, many of which are not found in other books of this type. Comprehensive and contains numerous and detailed example problems in both mathematics and economic analysis. Suitable for economists and economics students with only a minimal mathematical background. Classroom-tested over the years when the author was actively teaching at the University of Hartford. Serves as a beginner text in optimization for applied mathematics students. Accompanied by several electronic chapters on linear algebra and matrix theory, nonsmooth optimization, economic efficiency, and distance functions available for free on www.routledge.com/9780367759018.

Recent Advances in Global Optimization

Author : Christodoulos A. Floudas
Publisher : Princeton University Press
ISBN 13 : 1400862523
Total Pages : 644 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Recent Advances in Global Optimization by : Christodoulos A. Floudas

Download or read book Recent Advances in Global Optimization written by Christodoulos A. Floudas and published by Princeton University Press. This book was released on 2014-07-14 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book will present the papers delivered at the first U.S. conference devoted exclusively to global optimization and will thus provide valuable insights into the significant research on the topic that has been emerging during recent years. Held at Princeton University in May 1991, the conference brought together an interdisciplinary group of the most active developers of algorithms for global optimization in order to focus the attention of the mathematical programming community on the unsolved problems and diverse applications of this field. The main subjects addressed at the conference were advances in deterministic and stochastic methods for global optimization, parallel algorithms for global optimization problems, and applications of global optimization. Although global optimization is primarily a mathematical problem, it is relevant to several other disciplines, including computer science, applied mathematics, physical chemistry, molecular biology, statistics, physics, engineering, operations research, communication theory, and economics. Global optimization problems originate from a wide variety of mathematical models of real-world systems. Some of its applications are allocation and location problems and VLSI and data-base design problems. Originally published in 1991. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Advances in Mathematical Optimization

Author : Jürgen Guddat
Publisher :
ISBN 13 :
Total Pages : 240 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Advances in Mathematical Optimization by : Jürgen Guddat

Download or read book Advances in Mathematical Optimization written by Jürgen Guddat and published by . This book was released on 1988 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applications of Advanced Optimization Techniques in Industrial Engineering

Author : Abhinav Goel
Publisher : CRC Press
ISBN 13 : 1000544869
Total Pages : 243 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Applications of Advanced Optimization Techniques in Industrial Engineering by : Abhinav Goel

Download or read book Applications of Advanced Optimization Techniques in Industrial Engineering written by Abhinav Goel and published by CRC Press. This book was released on 2022-03-09 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides different approaches used to analyze, draw attention, and provide an understanding of the advancements in the optimization field across the globe. It brings all of the latest methodologies, tools, and techniques related to optimization and industrial engineering into a single volume to build insights towards the latest advancements in various domains. Applications of Advanced Optimization Techniques in Industrial Engineering includes the basic concept of optimization, techniques, and applications related to industrial engineering. Concepts are introduced in a sequential way along with explanations, illustrations, and solved examples. The book goes on to explore applications of operations research and covers empirical properties of a variety of engineering disciplines. It presents network scheduling, production planning, industrial and manufacturing system issues, and their implications in the real world. The book caters to academicians, researchers, professionals in inventory analytics, business analytics, investment managers, finance firms, storage-related managers, and engineers working in engineering industries and data management fields.

Mathematical Optimization and Economic Analysis

Author : Mikulás Luptácik
Publisher : Springer Science & Business Media
ISBN 13 : 0387895523
Total Pages : 299 pages
Book Rating : 4.3/5 (878 download)

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Book Synopsis Mathematical Optimization and Economic Analysis by : Mikulás Luptácik

Download or read book Mathematical Optimization and Economic Analysis written by Mikulás Luptácik and published by Springer Science & Business Media. This book was released on 2009-10-03 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.

Foundations of Optimization

Author : Osman Güler
Publisher : Springer Science & Business Media
ISBN 13 : 0387684077
Total Pages : 445 pages
Book Rating : 4.3/5 (876 download)

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Book Synopsis Foundations of Optimization by : Osman Güler

Download or read book Foundations of Optimization written by Osman Güler and published by Springer Science & Business Media. This book was released on 2010-08-03 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the fundamental principles of optimization in finite dimensions. It develops the necessary material in multivariable calculus both with coordinates and coordinate-free, so recent developments such as semidefinite programming can be dealt with.

Optimization and Mathematical Modeling in Computer Architecture

Author : Karu Sankaralingam
Publisher : Springer Nature
ISBN 13 : 3031017730
Total Pages : 144 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Optimization and Mathematical Modeling in Computer Architecture by : Karu Sankaralingam

Download or read book Optimization and Mathematical Modeling in Computer Architecture written by Karu Sankaralingam and published by Springer Nature. This book was released on 2022-05-31 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book we give an overview of modeling techniques used to describe computer systems to mathematical optimization tools. We give a brief introduction to various classes of mathematical optimization frameworks with special focus on mixed integer linear programming which provides a good balance between solver time and expressiveness. We present four detailed case studies -- instruction set customization, data center resource management, spatial architecture scheduling, and resource allocation in tiled architectures -- showing how MILP can be used and quantifying by how much it outperforms traditional design exploration techniques. This book should help a skilled systems designer to learn techniques for using MILP in their problems, and the skilled optimization expert to understand the types of computer systems problems that MILP can be applied to.

Mathematical Optimization Terminology

Author : Andre A. Keller
Publisher : Academic Press
ISBN 13 : 0128052953
Total Pages : 341 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Mathematical Optimization Terminology by : Andre A. Keller

Download or read book Mathematical Optimization Terminology written by Andre A. Keller and published by Academic Press. This book was released on 2017-11-10 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Optimization Terminology: A Comprehensive Glossary of Terms is a practical book with the essential formulations, illustrative examples, real-world applications and main references on the topic. This book helps readers gain a more practical understanding of optimization, enabling them to apply it to their algorithms. This book also addresses the need for a practical publication that introduces these concepts and techniques. - Discusses real-world applications of optimization and how it can be used in algorithms - Explains the essential formulations of optimization in mathematics - Covers a more practical approach to optimization