Principles of Optimal Design: Modeling and Computation

by Panos Y. Papalambros, Douglass J. Wilde

Overview

Design optimization is a standard concept in engineering design, and in other disciplines which utilize mathematical decision-making methods. This textbook focuses on the close relationship between a design problem's mathematical model and the solution-driven methods which optimize it. Along with extensive material on modeling problems, this book also features useful techniques for checking whether a model is suitable for computational treatment. Throughout, key concepts are discussed in the context of why and when a particular algorithm may be successful, and a large number of examples demonstrate the theory or method right after it is presented. This book also contains step-by-step instructions for executing a design optimization project - from building the problem statement to interpreting the computer results. All chapters contain exercises from which instructors can easily build quizzes, and a chapter on 'principles and practice' offers the reader tips and guidance based on the authors' vast research and instruction experience.

Product Details

ISBN-13:	9781107132672
Publisher:	Cambridge University Press
Publication date:	01/09/2017
Edition description:	New Edition
Pages:	504
Product dimensions:	7.72(w) x 10.00(h) x 1.10(d)

About the Author

Panos Y. Papalambros is the J. B. Angell Distinguished University Professor and the Donald C. Graham Professor of Engineering, and holds additional professorships in Mechanical Engineering, Art and Design, and Architecture at the University of Michigan. His research and teaching interests are in design science and design optimization. He is the author of more than 350 research publications. He served as the Chief Editor of the ASME Journal of Mechanical Design (2008–2012) and is the founding Chief Editor of the Design Science journal.

Douglass J. Wilde is Professor Emeritus of Mechanical Engineering at Stanford University, California. He conducted research in optimization, computational geometry, and control theory. On retirement he began exploring student team building in design contests. In addition to previous editions of Principles of Optimal Design, he has written two books, Teamology (2009) and Jung's Personality Theory Quantified (2011).

Table of Contents

Preface; Notation; 1. Optimization models; 2. Model construction; 3. Model boundedness; 4. Interior optima; 5. Boundary optima; 6. Local computation; 7. Nongradient search; 8. Systems design; 9. Principles and practice; Notes; References; Author index; Subject index.

Editorial Reviews

'Principles of Optimal Design, third edition, offers an excellent combination of depth and breadth of fundamentals of mathematical modeling of systems design. Students and practitioners will find the textbook a great starting point to learn about the systems design methods and optimization theories from the fundamentals to the advanced numerical methods. The recent addition of the decomposition-based optimization method and analytical target cascading is a nice expansion to the traditional optimization methods. I use this textbook to teach graduate and advanced undergraduate students who have basic understanding of numerical analysis. Students appreciate the spectrum of contents and they become ready to apply what they learn from the textbook to complex systems design cases. I highly recommend the textbook.' Harrison Hyung, University of Illinois, Urbana-Champaign

'Principles of Optimal Design has always been a well-structured textbook that introduces students to the fundamentals of optimal design while remaining accessible and enjoyable to read. The latest edition adds many brief but exciting glimpses of more advanced topics in optimization. These additions have transformed the book from a ‘foundation’ on which students can firmly stand to a ‘catapult’ that can propel them to exciting, new, and advanced topics in the broad discipline of optimal design.' Hosam Fathy, Penn State College of Engineering

'This third edition brings to the reader an impressive array of new and useful topics in optimal design. For example, and among others, new chapters on non-gradient based methods and decomposition-based optimization (or multi-disciplinary optimization, MDO) have been added. The book can be used both as a textbook for a graduate level course in all engineering fields, but also as a must have reference material. I highly recommend it!' Shapour Azarm, University of Maryland

'The Principles of Optimal Design, third edition, is an excellent first text for undergraduates and graduate students alike interested in gaining a firm grasp of practical design optimization methods. It blends the latest modeling techniques with a rigorous treatment of the mathematical analysis, allowing one to adeptly navigate the varied landscapes of modern design problems. From machine learning, automotive systems, financial portfolios, to even the modeling of human purchasing behavior, I have used this text to teach my students how to systematically apply the design process to a broad range of engineering problems.' George J. Delagrammatikas, The Cooper Union for the Advancement of Science and Art, New York

'This book, almost thirty years after its first edition, remains the only comprehensive text on engineering design optimization. In our 'one-click' software era, it provides theory fundamentals that tend to be neglected, while complementing them with rigorous modeling and computation techniques. I cannot think of a better textbook for engineering optimization courses, including a plethora of excellent examples and exercises. The third edition is enhanced with new and extremely useful material on recent developments in derivative-free optimization and optimal system design.' Michael Kokkolaras, McGill University, Canada

'I've found Principles of Optimal Design to be an excellent, comprehensive explanation of design optimization methods, grounded in rigorous mathematics, yet still accessible. The addition of a gradient-free optimization chapter is a welcome addition to the book.' John Whitefoot, University of Pittsburgh

'I've recommended this book to several students. It's a great resource for students who need to use optimization for practical purposes, such as a senior project or an assignment at their co-op job. The book has a good balance between the underlying theory and the application of that theory to actual problems.' Diane Peters, University of Michigan

From the Publisher

Explains the concept of optimal design and demonstrates the relationship between the mathematical model that describes a design and the solution methods that optimize it. This second edition takes into account developments in computer power and optimization, and includes a discussion of trust region and convex approximation algorithms. A new chapter focuses on how to construct optimal design models. The final chapter on optimization practice has been expanded to include computation of derivatives, interpretation of algorithmic results, and selection of algorithms and software. Papalambros teaches mechanical engineering at the University of Michigan-Ann Arbor. Wilde is affiliated with Stanford University. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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