An Approach to Consider Diversity Issues from a Semantic Point of View

In this paper, we discuss a semantic and application-driven approach to estimate diversity respectively similarity in Genetic Algorithms (GA) based on a relative distance. This diversity metric can used to decide, whether or not a new individual meets a requested degree of diversity. Furthermore, the trade-off between several versions of the metric and their computational complexity is discussed. Finally, the application of this metric and a formerly developed Backtrack- and Restart GA to solve the Travelling Salesman Problem under certain real time requirements is introduced along with experimental evaluation.

[1]  N. Hopper,et al.  Analysis of genetic diversity through population history , 1999 .

[2]  Shigenobu Kobayashi,et al.  Edge Assembly Crossover: A High-Power Genetic Algorithm for the Travelling Salesman Problem , 1997, ICGA.

[3]  Ryouei Takahashi Extended changing crossover operators to solve the traveling salesman problem , 2010 .

[4]  Amir F. Atiya,et al.  Measuring the Genotype Diversity of Evolvable Neural Networks , 2008 .

[5]  Rasmus K. Ursem,et al.  Diversity-Guided Evolutionary Algorithms , 2002, PPSN.

[6]  Eugene L. Lawler,et al.  The Traveling Salesman Problem: A Guided Tour of Combinatorial Optimization , 1985 .

[7]  David E. Goldberg,et al.  Genetic Algorithms and the Variance of Fitness , 1991, Complex Syst..

[8]  Yoshitaka Sakurai,et al.  A simple optimization method based on Backtrack and GA for delivery schedule , 2011, 2011 IEEE Congress of Evolutionary Computation (CEC).

[9]  Martin Zwick,et al.  Variance and Uncertainty Measures of Population Diversity Dynamics , 1995 .

[10]  Yoshitaka Sakurai,et al.  A Multi-world Intelligent Genetic Algorithm to Interactively Optimize Large-scale TSP , 2006, 2006 IEEE International Conference on Information Reuse & Integration.

[11]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .

[12]  Yee Leung,et al.  Degree of population diversity - a perspective on premature convergence in genetic algorithms and its Markov chain analysis , 1997, IEEE Trans. Neural Networks.

[13]  Yoshitaka Sakurai,et al.  Ensuring Diversity in a Backtrack and GA Optimization Method for Delivery Schedule , 2011, 2011 Seventh International Conference on Signal Image Technology & Internet-Based Systems.

[14]  Kenny Q. Zhu,et al.  Population Diversity in Permutation-Based Genetic Algorithm , 2004, ECML.

[15]  Shigenobu Kobayashi,et al.  An analysis of edge assembly crossover for the traveling salesman problem , 1999, IEEE SMC'99 Conference Proceedings. 1999 IEEE International Conference on Systems, Man, and Cybernetics (Cat. No.99CH37028).

[16]  Giorgio Gambosi,et al.  Complexity and Approximation , 1999, Springer Berlin Heidelberg.

[17]  Kenneth A. De Jong,et al.  Measurement of Population Diversity , 2001, Artificial Evolution.