Principles of optimal design : modeling and computation

書誌事項

Principles of optimal design : modeling and computation

Panos Y. Papalambros, Douglass J. Wilde

Cambridge University Press, 2017

3rd ed

  • : hardback

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注記

Includes bibliographical references (p. 456-476) and index

内容説明・目次

内容説明

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.

目次

  • 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.

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