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Representations for Genetic and Evolutionary Algorithms / Edition 2

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Overview

In the field of genetic and evolutionary algorithms (GEAs), much theory and empirical study has been heaped upon operators and test problems, but problem representation has often been taken as given. This monograph breaks with this tradition and studies a number of critical elements of a theory of representations for GEAs and applies them to the empirical study of various important idealized test functions and problems of commercial import. The book considers basic concepts of representations, such as redundancy, scaling and locality and describes how GEAs'performance is influenced. Using the developed theory representations can be analyzed and designed in a theory-guided manner. The theoretical concepts are used as examples for efficiently solving integer optimization problems and network design problems. The results show that proper representations are crucial for GEAs'success.
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Product Details

  • ISBN-13: 9783540250593
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 3/3/2006
  • Edition description: 2nd ed. 2006
  • Edition number: 2
  • Pages: 325
  • Product dimensions: 6.14 (w) x 9.21 (h) x 0.81 (d)

Table of Contents

1 Introduction 1
2 Representations for Genetic and Evolutionary Algorithms 9
3 Three Elements of a Theory of Genetic and Evolutionary Representations 31
4 Time-Quality Framework for a Theory-Based Analysis and Design of Representations 77
5 Analysis of Binary Representations of Integers 99
6 Analysis of Tree Representations 119
7 Design of Tree Representations 177
8 Performance of Genetic and Evolutionary Algorithms on Tree Problems 199
9 Summary, Conclusions and Future Work 237
A Optimal Communication Spanning Tree Test Instances 245
References 263
List of Symbols 281
List of Acronyms 285
Index 287
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