A Mathematical Theory of Design: Foundations, Algorithms and Applications

  • Dan Braha
  • Oded Maimon

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

Table of contents

  1. Front Matter
    Pages i-xxii
  2. The Design Process: Properties, Paradigms and the Evolutionary Structure

    1. Front Matter
      Pages 1-1
    2. Dan Braha, Oded Maimon
      Pages 3-17
    3. Dan Braha, Oded Maimon
      Pages 19-84
    4. Dan Braha, Oded Maimon
      Pages 85-106
  3. Formal Design Theory (FDT)

    1. Front Matter
      Pages 107-107
    2. Dan Braha, Oded Maimon
      Pages 109-141
    3. Dan Braha, Oded Maimon
      Pages 143-185
    4. Dan Braha, Oded Maimon
      Pages 187-215
    5. Dan Braha, Oded Maimon
      Pages 217-239
    6. Dan Braha, Oded Maimon
      Pages 279-290
  4. Algorithmic and Heuristic Methods for Design Decision Support

    1. Front Matter
      Pages 291-291
    2. Dan Braha, Oded Maimon
      Pages 293-319
    3. Dan Braha, Oded Maimon
      Pages 365-385
    4. Dan Braha, Oded Maimon
      Pages 387-421
    5. Dan Braha, Oded Maimon
      Pages 423-443

About this book

Introduction

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.

Keywords

algorithms calculus complexity computer-aided design (CAD) design design process design theory engineering design information information theory modeling optimization software statistical analysis

Authors and affiliations

  • Dan Braha
    • 1
  • Oded Maimon
    • 2
  1. 1.Department of Industrial EngineeringBen Gurion UniversityBeer ShevaIsrael
  2. 2.Department of Industrial EngineeringTel-Aviv UniversityTel-AvivIsrael

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-2872-9
  • Copyright Information Springer-Verlag US 1998
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-4798-7
  • Online ISBN 978-1-4757-2872-9
  • Series Print ISSN 1384-6485
  • About this book