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A Mathematical Theory of Design: Foundations, Algorithms and Applications

  • Book
  • © 1998

Overview

Authors:
  1. Dan Braha

    1. Department of Industrial Engineering, Ben Gurion University, Beer Sheva, Israel

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    You can also search for this author in PubMed   Google Scholar

  2. Oded Maimon

    1. Department of Industrial Engineering, Tel-Aviv University, Tel-Aviv, Israel

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Applied Optimization (APOP, volume 17)

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Table of contents (21 chapters)

  1. Detailed Design Applications

    1. Front Matter

      Pages 461-461
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    2. Design of a Wormgear Reducer: A Case Study

      • Dan Braha, Oded Maimon
      Pages 463-498

    3. Adaptive Learning for Successful Flexible Manufacturing Cell Design: A Case Study

      • Dan Braha, Oded Maimon
      Pages 499-512

    4. Maintaining Design Consistency: Examples

      • Dan Braha, Oded Maimon
      Pages 513-549

    5. Cases in Evolutionary Design Processes

      • Dan Braha, Oded Maimon
      Pages 551-648

  2. Practical Considerations

    1. Front Matter

      Pages 649-649
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    2. Concluding Reflections

      • Dan Braha, Oded Maimon
      Pages 651-670

  3. Back Matter

    Pages 671-681
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Keywords

About this book

Formal Design Theory (PDT) is a mathematical theory of design. The main goal of PDT is to develop a domain independent core model of the design process. The book focuses the reader's attention on the process by which ideas originate and are developed into workable products. In developing PDT, we have been striving toward what has been expressed by the distinguished scholar Simon (1969): that "the science of design is possible and some day we will be able to talk in terms of well-established theories and practices. " The book is divided into five interrelated parts. The conceptual approach is presented first (Part I); followed by the theoretical foundations of PDT (Part II), and from which the algorithmic and pragmatic implications are deduced (Part III). Finally, detailed case-studies illustrate the theory and the methods of the design process (Part IV), and additional practical considerations are evaluated (Part V). The generic nature of the concepts, theory and methods are validated by examples from a variety of disciplines. FDT explores issues such as: algebraic representation of design artifacts, idealized design process cycle, and computational analysis and measurement of design process complexity and quality. FDT's axioms convey the assumptions of the theory about the nature of artifacts, and potential modifications of the artifacts in achieving desired goals or functionality. By being able to state these axioms explicitly, it is possible to derive theorems and corollaries, as well as to develop specific analytical and constructive methodologies.

Authors and Affiliations

  • Department of Industrial Engineering, Ben Gurion University, Beer Sheva, Israel

    Dan Braha

  • Department of Industrial Engineering, Tel-Aviv University, Tel-Aviv, Israel

    Oded Maimon

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