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Mathematical Optimization Terminology

Mathematical Optimization Terminology Book
Author : Andre A. Keller
Publisher : Academic Press
Release : 2017-11-10
ISBN : 0128052953
Language : En, Es, Fr & De

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Book Description :

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

Mathematical Optimization Terminology

Mathematical Optimization Terminology Book
Author : Olga Moreira
Publisher : Arcler Press
Release : 2019-11
ISBN : 9781774071458
Language : En, Es, Fr & De

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Book Description :

Mathematical Optimization Terminology takes into account multi-objective method considering the problems related to optimization in case of power distribution systems. It includes a short survey on model-based evolutionary algorithms and study on parameter optimization for support vector regression. This book also discusses about gradient-based cuckoo search for global optimization, a hybrid cuckoo search algorithm, extraction methods for uncertain inference rules by ant colony optimization, a benchmark test suite for evolutionary many-objective optimization, a hybrid SA-MFO algorithm for function optimization and engineering design problems and social group optimization (SGO).

Modeling Languages in Mathematical Optimization

Modeling Languages in Mathematical Optimization Book
Author : Josef Kallrath
Publisher : Springer Science & Business Media
Release : 2004-02-29
ISBN : 9781402075476
Language : En, Es, Fr & De

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Book Description :

This volume presents a unique combination of modeling and solving real world optimization problems. It is the only book which treats systematically the major modeling languages and systems used to solve mathematical optimization problems, and it also provides a useful overview and orientation of today's modeling languages in mathematical optimization. It demonstrates the strengths and characteristic features of such languages and provides a bridge for researchers, practitioners and students into a new world: solving real optimization problems with the most advances modeling systems.

Shape Design Sensitivity Analysis and Optimization Using the Boundary Element Method

Shape Design Sensitivity Analysis and Optimization Using the Boundary Element Method Book
Author : Zhiye Zhao
Publisher : Springer Science & Business Media
Release : 2012-12-06
ISBN : 3642843824
Language : En, Es, Fr & De

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Book Description :

This book investigates the various aspects of shape optimization of two dimensional continuum structures, including shape design sensitivity analysis, structural analysis using the boundary element method (BEM), and shape optimization implementation. The book begins by reviewing the developments of shape optimization, followed by the presentation of the mathematical programming methods for solving optimization problems. The basic theory of the BEM is presented which will be employed later on as the numerical tool to provide the structural responses and the shape design sensitivities. The key issue of shape optimization, the shape design sensitivity analy sis, is fully investigated. A general formulation of stress sensitivity using the continuum approach is presented. The difficulty of the modelling of the ad joint problem is studied, and two approaches are presented for the modelling of the adjoint problem. The first approach uses distributed loads to smooth the concentrated adjoint loads, and the second approach employs the singu larity subtraction method to remove the singular boundary displacements and tractions from the BEM equation. A novel finite difference based approach to shape design sensitivity is pre sented, which overcomes the two drawbacks of the conventional finite difference method. This approach has the advantage of being simple in concept, and eas ier implementation. A shape optimization program for two-dimensional continuum structures is developed, including structural analysis using the BEM, shape design sensitiv ity analysis, mathematical programming, and the design boundary modelling.

Scheduling

Scheduling Book
Author : Michael L. Pinedo
Publisher : Springer Science & Business Media
Release : 2012-01-07
ISBN : 1461423619
Language : En, Es, Fr & De

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Book Description :

This new edition of the well established text Scheduling - Theory, Algorithms, and Systems provides an up-to-date coverage of important theoretical models in the scheduling literature as well as significant scheduling problems that occur in the real world. It again includes supplementary material in the form of slide-shows from industry and movies that show implementations of scheduling systems. The main structure of the book as per previous edition consists of three parts. The first part focuses on deterministic scheduling and the related combinatorial problems. The second part covers probabilistic scheduling models; in this part it is assumed that processing times and other problem data are random and not known in advance. The third part deals with scheduling in practice; it covers heuristics that are popular with practitioners and discusses system design and implementation issues. All three parts of this new edition have been revamped and streamlined. The references have been made completely up-to-date. Theoreticians and practitioners alike will find this book of interest. Graduate students in operations management, operations research, industrial engineering, and computer science will find the book an accessible and invaluable resource. Scheduling - Theory, Algorithms, and Systems will serve as an essential reference for professionals working on scheduling problems in manufacturing, services, and other environments. Reviews of third edition: This well-established text covers both the theory and practice of scheduling. The book begins with motivating examples and the penultimate chapter discusses some commercial scheduling systems and examples of their implementations." (Mathematical Reviews, 2009)

Optimization of Energy Supply Systems

Optimization of Energy Supply Systems Book
Author : Janet Nagel
Publisher : Springer
Release : 2018-09-28
ISBN : 3319963554
Language : En, Es, Fr & De

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Book Description :

This book describes how a model for optimizing the energy supply system in Germany can be implemented. It focuses on the open energy modeling framework (Oemof) program for modeling energy supply systems. The individual elements of Oemof are described, as well as the model’s structure. The technical components of Oemof are subsequently demonstrated in mathematical calculations, along with sufficient Python code to begin basic modeling. The book will appeal to anyone with an interest in optimization models for energy supply systems, or in the mathematical description of the technical components of such systems in practical implementation, using a real example, Oemof. Thermodynamic descriptions of combustion are provided, so that readers can focus on modeling aspects. Researchers and practitioners will also find the book useful, as it expands on their knowledge of the technical components of energy supply systems, supported with detailed mathematical calculations.

Elements of Structural Optimization

Elements of Structural Optimization Book
Author : Raphael T. Haftka,Zafer Gürdal,M.P. Kamat
Publisher : Springer Science & Business Media
Release : 2013-03-14
ISBN : 9401578621
Language : En, Es, Fr & De

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Book Description :

The field of structural optimization is still a relatively new field undergoing rapid changes in methods and focus. Until recently there was a severe imbalance between the enormous amount of literature on the subject, and the paucity of applications to practical design problems. This imbalance is being gradually redressed now. There is still no shortage of new publications, but there are also exciting applications of the methods of structural optimizations in the automotive, aerospace, civil engineering, machine design and other engineering fields. As a result of the growing pace of applications, research into structural optimization methods is increasingly driven by real-life problems. Most engineers who design structures employ complex general-purpose software packages for structural analysis. Often they do not have any access to the source the details of program, and even more frequently they have only scant knowledge of the structural analysis algorithms used in this software packages. Therefore the major challenge faced by researchers in structural optimization is to develop methods that are suitable for use with such software packages. Another major challenge is the high computational cost associated with the analysis of many complex real-life problems. In many cases the engineer who has the task of designing a structure cannot afford to analyze it more than a handful of times.

Encyclopaedia of Mathematics

Encyclopaedia of Mathematics Book
Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
Release : 1990-08-31
ISBN : 9781556080050
Language : En, Es, Fr & De

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Book Description :

V.1. A-B v.2. C v.3. D-Feynman Measure. v.4. Fibonaccimethod H v.5. Lituus v.6. Lobachevskii Criterion (for Convergence)-Optical Sigman-Algebra. v.7. Orbi t-Rayleigh Equation. v.8. Reaction-Diffusion Equation-Stirling Interpolation Fo rmula. v.9. Stochastic Approximation-Zygmund Class of Functions. v.10. Subject Index-Author Index.

Business Optimization Using Mathematical Programming

Business Optimization Using Mathematical Programming Book
Author : Josef Kallrath
Publisher : Springer Nature
Release : 2021
ISBN : 3030732371
Language : En, Es, Fr & De

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Book Description :

This book presents a structured approach to formulate, model, and solve mathematical optimization problems for a wide range of real world situations. Among the problems covered are production, distribution and supply chain planning, scheduling, vehicle routing, as well as cutting stock, packing, and nesting. The optimization techniques used to solve the problems are primarily linear, mixed-integer linear, nonlinear, and mixed integer nonlinear programming. The book also covers important considerations for solving real-world optimization problems, such as dealing with valid inequalities and symmetry during the modeling phase, but also data interfacing and visualization of results in a more and more digitized world. The broad range of ideas and approaches presented helps the reader to learn how to model a variety of problems from process industry, paper and metals industry, the energy sector, and logistics using mathematical optimization techniques.

Groundwater Optimization Handbook

Groundwater Optimization Handbook Book
Author : Richard C. Peralta
Publisher : CRC Press
Release : 2012-04-26
ISBN : 1439838070
Language : En, Es, Fr & De

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Book Description :

Existing and impending water shortages argue for improving water quantity and quality management. Groundwater Optimization Handbook: Flow, Contaminant Transport, and Conjunctive Management helps you formulate and solve groundwater optimization problems to ensure sustainable supplies of adequate quality and quantity. It shows you how to more effecti

Princeton Companion to Applied Mathematics

Princeton Companion to Applied Mathematics Book
Author : Nicholas J. Higham
Publisher : Princeton University Press
Release : 2015-09-09
ISBN : 0691150397
Language : En, Es, Fr & De

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Book Description :

This is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important equations, laws, and functions; looks at exciting areas of research; covers modeling and simulation; explores areas of application; and more. Modeled on the popular Princeton Companion to Mathematics, this volume is an indispensable resource for undergraduate and graduate students, researchers, and practitioners in other disciplines seeking a user-friendly reference book on applied mathematics. Features nearly 200 entries organized thematically and written by an international team of distinguished contributors Presents the major ideas and branches of applied mathematics in a clear and accessible way Explains important mathematical concepts, methods, equations, and applications Introduces the language of applied mathematics and the goals of applied mathematical research Gives a wide range of examples of mathematical modeling Covers continuum mechanics, dynamical systems, numerical analysis, discrete and combinatorial mathematics, mathematical physics, and much more Explores the connections between applied mathematics and other disciplines Includes suggestions for further reading, cross-references, and a comprehensive index

Mathematical Methods for Finance

Mathematical Methods for Finance Book
Author : Sergio M. Focardi,Frank J. Fabozzi,Turan G. Bali
Publisher : John Wiley & Sons
Release : 2013-09-04
ISBN : 1118421493
Language : En, Es, Fr & De

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Book Description :

The mathematical and statistical tools needed in the rapidlygrowing quantitative finance field With the rapid growth in quantitative finance, practitionersmust achieve a high level of proficiency in math and statistics.Mathematical Methods and Statistical Tools for Finance, partof the Frank J. Fabozzi Series, has been created with this in mind.Designed to provide the tools needed to apply finance theory toreal world financial markets, this book offers a wealth of insightsand guidance in practical applications. It contains applications that are broader in scope from what iscovered in a typical book on mathematical techniques. Most booksfocus almost exclusively on derivatives pricing, the applicationsin this book cover not only derivatives and asset pricing but alsorisk management—including credit risk management—andportfolio management. Includes an overview of the essential math and statisticalskills required to succeed in quantitative finance Offers the basic mathematical concepts that apply to the fieldof quantitative finance, from sets and distances to functions andvariables The book also includes information on calculus, matrix algebra,differential equations, stochastic integrals, and much more Written by Sergio Focardi, one of the world's leading authorsin high-level finance Drawing on the author's perspectives as a practitioner andacademic, each chapter of this book offers a solid foundation inthe mathematical tools and techniques need to succeed in today'sdynamic world of finance.

Structural Design Applications of Mathematical Programming Techniques

Structural Design Applications of Mathematical Programming Techniques Book
Author : North Atlantic Treaty Organization. Advisory Group for Aerospace Research and Development. Structures and Materials Panel
Publisher : Unknown
Release : 1971
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

The document describes the present state of development of the use of mathematical programming techniques in the optimum design of aerospace and similar structures. Although optimization with respect to cost is considered when possible, the main emphasis is on the minimization of weight, due to the overwhelming importance of this parameter in aerospace applications, and also due to the fact that it is one of the few merit functions that can be defined with reasonable precision. The use of mathematical programming techniques in the selection of materials is also discussed to the limited extent meaningful at the present time. (Author).

Computational Mathematical Programming

Computational Mathematical Programming Book
Author : Klaus Schittkowski
Publisher : Springer Science & Business Media
Release : 2013-06-29
ISBN : 3642824501
Language : En, Es, Fr & De

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Book Description :

This book contains the written versions of main lectures presented at the Advanced Study Institute (ASI) on Computational Mathematical Programming, which was held in Bad Windsheim, Germany F. R., from July 23 to August 2, 1984, under the sponsorship of NATO. The ASI was organized by the Committee on Algorithms (COAL) of the Mathematical Programming Society. Co-directors were Karla Hoffmann (National Bureau of Standards, Washington, U.S.A.) and Jan Teigen (Rabobank Nederland, Zeist, The Netherlands). Ninety participants coming from about 20 different countries attended the ASI and contributed their efforts to achieve a highly interesting and stimulating meeting. Since 1947 when the first linear programming technique was developed, the importance of optimization models and their mathematical solution methods has steadily increased, and now plays a leading role in applied research areas. The basic idea of optimization theory is to minimize (or maximize) a function of several variables subject to certain restrictions. This general mathematical concept covers a broad class of possible practical applications arising in mechanical, electrical, or chemical engineering, physics, economics, medicine, biology, etc. There are both industrial applications (e.g. design of mechanical structures, production plans) and applications in the natural, engineering, and social sciences (e.g. chemical equilibrium problems, christollography problems).

Principles and Practice of Constraint Programming CP 99

Principles and Practice of Constraint Programming   CP 99 Book
Author : Joxan Jaffar
Publisher : Springer
Release : 2004-06-02
ISBN : 3540480854
Language : En, Es, Fr & De

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Book Description :

This book constitutes the refereed proceedings of the 5th International Conference on Principles and Practice of Constraint Programmingm CP'99, held in Alexandria, Virginia, USA in October 1999. The 30 revised full papers presented together with three invited papers and eight posters were carefully reviewed and selected for inclusion in the book from a total of 97 papers submitted. All current aspects of constraint programming and applications in various areas are addressed.

Model Predictive Control of High Power Converters and Industrial Drives

Model Predictive Control of High Power Converters and Industrial Drives Book
Author : Tobias Geyer
Publisher : John Wiley & Sons
Release : 2017-02-28
ISBN : 111901087X
Language : En, Es, Fr & De

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Book Description :

In this original book on model predictive control (MPC) for power electronics, the focus is put on high-power applications with multilevel converters operating at switching frequencies well below 1 kHz, such as medium-voltage drives and modular multi-level converters. Consisting of two main parts, the first offers a detailed review of three-phase power electronics, electrical machines, carrier-based pulse width modulation, optimized pulse patterns, state-of-the art converter control methods and the principle of MPC. The second part is an in-depth treatment of MPC methods that fully exploit the performance potential of high-power converters. These control methods combine the fast control responses of deadbeat control with the optimal steady-state performance of optimized pulse patterns by resolving the antagonism between the two. MPC is expected to evolve into the control method of choice for power electronic systems operating at low pulse numbers with multiple coupled variables and tight operating constraints it. Model Predictive Control of High Power Converters and Industrial Drives will enable to reader to learn how to increase the power capability of the converter, lower the current distortions, reduce the filter size, achieve very fast transient responses and ensure the reliable operation within safe operating area constraints. Targeted at power electronic practitioners working on control-related aspects as well as control engineers, the material is intuitively accessible, and the mathematical formulations are augmented by illustrations, simple examples and a book companion website featuring animations. Readers benefit from a concise and comprehensive treatment of MPC for industrial power electronics, enabling them to understand, implement and advance the field of high-performance MPC schemes.

The Mathematics of Financial Modeling and Investment Management

The Mathematics of Financial Modeling and Investment Management Book
Author : Sergio M. Focardi,Frank J. Fabozzi, CFA
Publisher : John Wiley & Sons
Release : 2004-03-29
ISBN : 9780471465997
Language : En, Es, Fr & De

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Book Description :

the mathematics of financial modeling & investment management The Mathematics of Financial Modeling & Investment Management covers a wide range of technical topics in mathematics and finance-enabling the investment management practitioner, researcher, or student to fully understand the process of financial decision-making and its economic foundations. This comprehensive resource will introduce you to key mathematical techniques-matrix algebra, calculus, ordinary differential equations, probability theory, stochastic calculus, time series analysis, optimization-as well as show you how these techniques are successfully implemented in the world of modern finance. Special emphasis is placed on the new mathematical tools that allow a deeper understanding of financial econometrics and financial economics. Recent advances in financial econometrics, such as tools for estimating and representing the tails of the distributions, the analysis of correlation phenomena, and dimensionality reduction through factor analysis and cointegration are discussed in depth. Using a wealth of real-world examples, Focardi and Fabozzi simultaneously show both the mathematical techniques and the areas in finance where these techniques are applied. They also cover a variety of useful financial applications, such as: * Arbitrage pricing * Interest rate modeling * Derivative pricing * Credit risk modeling * Equity and bond portfolio management * Risk management * And much more Filled with in-depth insight and expert advice, The Mathematics of Financial Modeling & Investment Management clearly ties together financial theory and mathematical techniques.

Scientific and Technical Aerospace Reports

Scientific and Technical Aerospace Reports Book
Author : Anonim
Publisher : Unknown
Release : 1971
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Scientific and Technical Aerospace Reports book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Modern Optimization Techniques with Applications in Electric Power Systems

Modern Optimization Techniques with Applications in Electric Power Systems Book
Author : Soliman Abdel-Hady Soliman,Abdel-Aal Hassan Mantawy
Publisher : Springer Science & Business Media
Release : 2011-12-14
ISBN : 1461417511
Language : En, Es, Fr & De

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Book Description :

This book presents the application of some AI related optimization techniques in the operation and control of electric power systems. With practical applications and examples the use of functional analysis, simulated annealing, Tabu-search, Genetic algorithms and fuzzy systems for the optimization of power systems is discussed in detail. Preliminary mathematical concepts are presented before moving to more advanced material. Researchers and graduate students will benefit from this book. Engineers working in utility companies, operations and control, and resource management will also find this book useful. ​

Structural Optimization of a Space Truss

Structural Optimization of a Space Truss Book
Author : Byung-hai Lee
Publisher : Unknown
Release : 1972
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Structural Optimization of a Space Truss book written by Byung-hai Lee, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.