Optimization in Industry

This book gives a detailed exposition of the techniques. In this first volume, T. A. J. Nicholson demonstrates the full range of techniques available to the practitioner for the solution of varying problems.

Author: T.A.J. Nicholson

Publisher: Routledge

ISBN: 1351501429

Category: Technology & Engineering

Page: 235

View: 762

As optimization techniques have developed, a gap has arisen between the people devising the methods and the people who actually need to use them. Research into methods is necessarily long-term and located usually in academic establishments; whereas the application of an optimization technique, normally in an industrial environment, has to be justified financially in the short term. The gap is probably inevitable; but there is no need for textbooks to reflect it. Teaching of optimization techniques separately from their connection with applications is pointless. This book gives a detailed exposition of the techniques. In this first volume, T. A. J. Nicholson demonstrates the full range of techniques available to the practitioner for the solution of varying problems. For each technique, the background reasoning behind its development is explained in simple terms; where helpful it is supported by a geometrical argument; and the iterative algorithm for finding the optimum is defined clearly. These steps enable the reader not only to see plainly what is happening in the method but also to reach a level of understanding necessary to write computer programs for optimization techniques. Problems are tackled in the same way--by searching a feasible region for an optimum. This approach helps the reader to develop the most essential of all skills--selecting appropriate techniques for different circumstances. The numerous worked examples in the text, supported by worked solutions, and the exercises at the end of the chapters are important aids to learning and to teachers. This book serves as an introduction to optimization techniques for students as well as a reference work for the practitioner in business and industry.

Theory and Methods of Vector Optimization Volume One

This first volume presents the theory and methods of solving vector optimization problems, using initial definitions that include axioms and the optimality principle.

Author: Yu. K. Mashunin

Publisher: Cambridge Scholars Publishing

ISBN: 1527548775

Category: Mathematics

Page: 195

View: 296

This first volume presents the theory and methods of solving vector optimization problems, using initial definitions that include axioms and the optimality principle. This book proves, mathematically, that the result it presents for the solution of the vector (multi-criteria) problem is the optimal outcome, and, as such, solves the problem of vector optimization for the first time. It shows that applied methods of solving vector optimization problems can be used by researchers in modeling and simulating the development of economic systems and technical (engineering) systems.

Optimization Methods Applied to Power Systems

This book presents an interesting sample of the latest advances in optimization techniques applied to electrical power engineering.

Author: Francisco G. Montoya

Publisher: MDPI

ISBN: 3039211307

Category: Technology & Engineering

Page: 382

View: 769

This book presents an interesting sample of the latest advances in optimization techniques applied to electrical power engineering. It covers a variety of topics from various fields, ranging from classical optimization such as Linear and Nonlinear Programming and Integer and Mixed-Integer Programming to the most modern methods based on bio-inspired metaheuristics. The featured papers invite readers to delve further into emerging optimization techniques and their real application to case studies such as conventional and renewable energy generation, distributed generation, transport and distribution of electrical energy, electrical machines and power electronics, network optimization, intelligent systems, advances in electric mobility, etc.


Convex Optimization

A comprehensive introduction to the tools, techniques and applications of convex optimization.

Author: Stephen Boyd

Publisher: Cambridge University Press

ISBN: 9780521833783

Category: Business & Economics

Page: 716

View: 283

A comprehensive introduction to the tools, techniques and applications of convex optimization.

Modeling and Optimization of Fermentation Processes

This book has been written for all those who work with microbial cultures, providing a useful, quick and contemporary re-education for practitioners and students alike, breaking through interdisciplinary barriers.

Author: Bohumil Volesky

Publisher: Elsevier Science Serials

ISBN:

Category: Science

Page: 266

View: 595

The ability to predict the behavior of fermentation systems enhances the possibility of optimizing their performance. Mathematical equations of model systems represent a tool for this and the most recent advances in computer hardware and software have made the approach more effective than previous simplistic attempts. The current knowledge of biochemical microbial pathways and the experience in optimization of chemical reactors combined with extremely powerful and accessible computers, loaded with easy to use software and mathematical routines, are changing the way processes are being developed and operated. This book has been written for all those who work with microbial cultures, providing a useful, quick and contemporary re-education for practitioners and students alike, breaking through interdisciplinary barriers. Biologists, engineers and biochemists will benefit from the methods of microbial process description and optimization based on mathematical equations. The basic techniques of modeling the bio-system are summarized in Part I. The useful concept of mass balancing is introduced in Part II for those who are not used to this simple and very useful engineering tool. An extensive and descriptive case study of a selected fermentation bio-process in Part III elucidates further the concepts of very pragmatic mathematical modeling of bioreactor systems. The volume outlines how to simply develop mathematical models of microbial systems and demonstrates their power to: guide and minimize the experimental work; check the consistency of experimental results; predict the behavior of the bio-system and analyze biocatalytic processes; diagnose the anomalies in the microbial culture behavior and optimize the performance of bioreactors.

Introduction to Applied Optimization

This text presents a multi-disciplined view of optimization, providing students and researchers with a thorough examination of algorithms, methods, and tools from diverse areas of optimization without introducing excessive theoretical ...

Author: Urmila Diwekar

Publisher: Springer Science & Business Media

ISBN: 1475737459

Category: Mathematics

Page: 335

View: 495

This text presents a multi-disciplined view of optimization, providing students and researchers with a thorough examination of algorithms, methods, and tools from diverse areas of optimization without introducing excessive theoretical detail. This second edition includes additional topics, including global optimization and a real-world case study using important concepts from each chapter. Introduction to Applied Optimization is intended for advanced undergraduate and graduate students and will benefit scientists from diverse areas, including engineers.

Structural Optimization

Since Professor Sacchi was willing to write the text on variational methods, it remained to find authors for parts on the mathematical programming approach to structural optimization (and, more generally, on numerical methods) and on ...

Author: M. Save

Publisher: Springer Science & Business Media

ISBN: 146157921X

Category: Mathematics

Page: 346

View: 794

After the IUTAM Symposium on Optimization in Structural Design held in Warsaw in 1973, it was clear to me that the time had come for organizing into a consistent body of thought the enormous quantity of results obtained in this domain, studied from so many different points of view, with so many different methods, and at so many levels of practical applicability. My colleague and friend Gianantonnio Sacchi from Milan and I met with Professor Prager in Savognin in July 1974, where I submitted to them my first ideas for a treatise on structural optimization: It should cover the whole domain from basic theory to practical applications, and deal with various materials, various types of structures, various functions required of the structures, and various types of cost . . Obviously, this was to be a team effort, to total three or four volumes, to be written in a balanced manner as textbooks and handbooks. Nothing similar existed at that time, and, indeed, nothing has been published to date. Professor Prager was immedi ately in favor of such a project. He agreed to write a first part on optimality criteria with me and to help me in the general organization of the series. Since Professor Sacchi was willing to write the text on variational methods, it remained to find authors for parts on the mathematical programming approach to structural optimization (and, more generally, on numerical methods) and on practical optimal design procedures in metal and concrete.

Algorithms for Optimization

A comprehensive introduction to optimization with a focus on practical algorithms for the design of engineering systems. This book offers a comprehensive introduction to optimization with a focus on practical algorithms.

Author: Mykel J. Kochenderfer

Publisher: MIT Press

ISBN: 0262039427

Category: Computers

Page: 520

View: 989

A comprehensive introduction to optimization with a focus on practical algorithms for the design of engineering systems. This book offers a comprehensive introduction to optimization with a focus on practical algorithms. The book approaches optimization from an engineering perspective, where the objective is to design a system that optimizes a set of metrics subject to constraints. Readers will learn about computational approaches for a range of challenges, including searching high-dimensional spaces, handling problems where there are multiple competing objectives, and accommodating uncertainty in the metrics. Figures, examples, and exercises convey the intuition behind the mathematical approaches. The text provides concrete implementations in the Julia programming language. Topics covered include derivatives and their generalization to multiple dimensions; local descent and first- and second-order methods that inform local descent; stochastic methods, which introduce randomness into the optimization process; linear constrained optimization, when both the objective function and the constraints are linear; surrogate models, probabilistic surrogate models, and using probabilistic surrogate models to guide optimization; optimization under uncertainty; uncertainty propagation; expression optimization; and multidisciplinary design optimization. Appendixes offer an introduction to the Julia language, test functions for evaluating algorithm performance, and mathematical concepts used in the derivation and analysis of the optimization methods discussed in the text. The book can be used by advanced undergraduates and graduate students in mathematics, statistics, computer science, any engineering field, (including electrical engineering and aerospace engineering), and operations research, and as a reference for professionals.

OPTIMIZATION AND OPERATIONS RESEARCH Volume I

These four volumes are aimed at the following five major target audiences: University and College students Educators, Professional Practitioners, Research Personnel and Policy Analysts, Managers, and Decision Makers and NGOs.

Author: Ulrich Derigs

Publisher: EOLSS Publications

ISBN: 1905839480

Category:

Page: 344

View: 829

Optimization and Operations Research is a component of Encyclopedia of Mathematical Sciences in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. The Theme on Optimization and Operations Research is organized into six different topics which represent the main scientific areas of the theme: 1. Fundamentals of Operations Research; 2. Advanced Deterministic Operations Research; 3. Optimization in Infinite Dimensions; 4. Game Theory; 5. Stochastic Operations Research; 6. Decision Analysis, which are then expanded into multiple subtopics, each as a chapter. These four volumes are aimed at the following five major target audiences: University and College students Educators, Professional Practitioners, Research Personnel and Policy Analysts, Managers, and Decision Makers and NGOs.

Optimization Theory with Applications

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.

Author: Donald A. Pierre

Publisher: Courier Corporation

ISBN: 0486136957

Category: Mathematics

Page: 640

View: 355

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.

Optimization with PDE Constraints

This book presents a modern introduction of pde constrained optimization. It provides a precise functional analytic treatment via optimality conditions and a state-of-the-art, non-smooth algorithmical framework.

Author: Michael Hinze

Publisher: Springer Science & Business Media

ISBN: 1402088396

Category: Mathematics

Page: 270

View: 167

Solving optimization problems subject to constraints given in terms of partial d- ferential equations (PDEs) with additional constraints on the controls and/or states is one of the most challenging problems in the context of industrial, medical and economical applications, where the transition from model-based numerical si- lations to model-based design and optimal control is crucial. For the treatment of such optimization problems the interaction of optimization techniques and num- ical simulation plays a central role. After proper discretization, the number of op- 3 10 timization variables varies between 10 and 10 . It is only very recently that the enormous advances in computing power have made it possible to attack problems of this size. However, in order to accomplish this task it is crucial to utilize and f- ther explore the speci?c mathematical structure of optimization problems with PDE constraints, and to develop new mathematical approaches concerning mathematical analysis, structure exploiting algorithms, and discretization, with a special focus on prototype applications. The present book provides a modern introduction to the rapidly developing ma- ematical ?eld of optimization with PDE constraints. The ?rst chapter introduces to the analytical background and optimality theory for optimization problems with PDEs. Optimization problems with PDE-constraints are posed in in?nite dim- sional spaces. Therefore, functional analytic techniques, function space theory, as well as existence- and uniqueness results for the underlying PDE are essential to study the existence of optimal solutions and to derive optimality conditions.

Structural Sensitivity Analysis and Optimization 2

In this 2-volume set, first- and second- order design sensitivity analyses are presented for static and dynamics responses of both linear and nonlinear elastic structural systems, including elasto-plastic and frictional contact problems.

Author: K. K. Choi

Publisher: Springer Science & Business Media

ISBN: 0387273069

Category: Science

Page: 326

View: 223

Extensive numerical methods for computing design sensitivity are included in the text for practical application and software development. The numerical method allows integration of CAD-FEA-DSA software tools, so that design optimization can be carried out using CAD geometric models instead of FEA models. This capability allows integration of CAD-CAE-CAM so that optimized designs can be manufactured effectively.


Linear Algebra And Optimization With Applications To Machine Learning Volume Ii Fundamentals Of Optimization Theory With Applications To Machine Learning

This book blends theory with practice by not only carefully discussing the mathematical under pinnings of each optimization technique but by applying these techniques to linear programming, support vector machines (SVM), principal component ...

Author: Quaintance Jocelyn

Publisher: World Scientific

ISBN: 9811216584

Category: Mathematics

Page: 896

View: 527

Volume 2 applies the linear algebra concepts presented in Volume 1 to optimization problems which frequently occur throughout machine learning. This book blends theory with practice by not only carefully discussing the mathematical under pinnings of each optimization technique but by applying these techniques to linear programming, support vector machines (SVM), principal component analysis (PCA), and ridge regression. Volume 2 begins by discussing preliminary concepts of optimization theory such as metric spaces, derivatives, and the Lagrange multiplier technique for finding extrema of real valued functions. The focus then shifts to the special case of optimizing a linear function over a region determined by affine constraints, namely linear programming. Highlights include careful derivations and applications of the simplex algorithm, the dual-simplex algorithm, and the primal-dual algorithm. The theoretical heart of this book is the mathematically rigorous presentation of various nonlinear optimization methods, including but not limited to gradient decent, the Karush-Kuhn-Tucker (KKT) conditions, Lagrangian duality, alternating direction method of multipliers (ADMM), and the kernel method. These methods are carefully applied to hard margin SVM, soft margin SVM, kernel PCA, ridge regression, lasso regression, and elastic-net regression. Matlab programs implementing these methods are included.

Practical Methods of Optimization

This edition offers revised coverage of basic theory and standard techniques, with updated discussions of line search methods, Newton and quasi-Newton methods, and conjugate direction methods, as well as a comprehensive treatment of ...

Author: R. Fletcher

Publisher: John Wiley & Sons

ISBN: 111872318X

Category: Mathematics

Page: 456

View: 194

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 presents comparative numerical studies to give readers a feel for possibile applications and to illustrate the problems in assessing evidence. Also provides theoretical background which provides insights into how methods are derived. This edition offers revised coverage of basic theory and standard techniques, with updated discussions of line search methods, Newton and quasi-Newton methods, and conjugate direction methods, as well as a comprehensive treatment of restricted step or trust region methods not commonly found in the literature. Also includes recent developments in hybrid methods for nonlinear least squares; an extended discussion of linear programming, with new methods for stable updating of LU factors; and a completely new section on network programming. Chapters include computer subroutines, worked examples, and study questions.

First Order Methods in Optimization

The primary goal of this book is to provide a self-contained, comprehensive study of the main ?rst-order methods that are frequently used in solving large-scale problems.

Author: Amir Beck

Publisher: SIAM

ISBN: 1611974984

Category: Mathematics

Page: 484

View: 400

The primary goal of this book is to provide a self-contained, comprehensive study of the main ?rst-order methods that are frequently used in solving large-scale problems. First-order methods exploit information on values and gradients/subgradients (but not Hessians) of the functions composing the model under consideration. With the increase in the number of applications that can be modeled as large or even huge-scale optimization problems, there has been a revived interest in using simple methods that require low iteration cost as well as low memory storage. The author has gathered, reorganized, and synthesized (in a unified manner) many results that are currently scattered throughout the literature, many of which cannot be typically found in optimization books. First-Order Methods in Optimization offers comprehensive study of first-order methods with the theoretical foundations; provides plentiful examples and illustrations; emphasizes rates of convergence and complexity analysis of the main first-order methods used to solve large-scale problems; and covers both variables and functional decomposition methods.


Dynamic Optimization Second Edition

Since its initial publication, this text has defined courses in dynamic optimization taught to economics and management science students. The two-part treatment covers the calculus of variations and optimal control. 1998 edition.

Author: Morton I. Kamien

Publisher: Courier Corporation

ISBN: 0486310280

Category: Mathematics

Page: 400

View: 558

Since its initial publication, this text has defined courses in dynamic optimization taught to economics and management science students. The two-part treatment covers the calculus of variations and optimal control. 1998 edition.

Optimization in Industry

In this volume, T. A. J. Nicholson deals with applications of the industrial optimization techniques demonstrated in the first volume of this two-part project, Optimization in Industry: Optimization Techniques.Applications are classified by ...

Author: T.A.J. Nicholson

Publisher: Routledge

ISBN: 1351501399

Category: Business & Economics

Page: 265

View: 793

The origin of any industrial optimization study lies in the theory that some improvement can be made in a controllable system. The possibility for improvements may arise in any context, for example, in the control of a chemical plant, the organization of production to meet delivery dates, the design of rubber compounds, in traffic signal settings, and so on. In this volume, T. A. J. Nicholson deals with applications of the industrial optimization techniques demonstrated in the first volume of this two-part project, Optimization in Industry: Optimization Techniques.Applications are classified by their main functional areas in industrial planning, design, and control. The fields covered are machine sequencing, stock control and scheduling, plant renewal, distribution, financial problems, and chemical process control and design. These last two, in particular, are subjects often overlooked in operations research curricula. In each field the place and status of optimization techniques is first described and then a wide range of realistic case studies and examples are reviewed, many of them international. The problems given in this volume are primarily concerned with formulation not with solution; the task is to formulate the problems to be solved by one or more of the methods described in volume one.By connecting the optimization techniques with their applications, the gap between the people devising the methods and the people who actually need to use them is bridged. As with the first volume, this text is also supported by new exercises and model answers making this book important as an introduction to the application of optimization techniques for students as well as a reference work for the practitioner.