| Goldberg, D. E. and Richardson, J. (1987). Genetic algorithms with sharing for multimodal function optimization. In Proceedings of the Second International Conference on Genetic Algorithms, pages 41--49, Hillsdale, N. J. Lawrence Erlbaum Associates. |
....by incorporating a censorship operator in which the insertion of an offspring into the population is possible only if the offspring is genotypically different from all members of the population at a number of specfied genotypical loci. Somewhat later Goldberg introduced the idea of shared value [Goldberg 1987]. The idea of sharing is very simple . If a number of strings in the current population cluster closely together, where closeness can refer to the topology either of the space of phenotypes or that of genotypes, then their goal function values might be expected to be similar. If the goal function ....
David E. Goldberg and Jon Richardson. Genetic Algorithms with Sharing for Multimodal Function Optimization. Proceedings of the second international conference on Genetic Algorithms, pp. 41-49, MIT.
....to present a human user with a set of solutions trading o# between the robustness and the optimality, from which the user has to make a choice according to the need of the application. A method for achieving multiple robust solutions has been suggested in [3] using the sharing method suggested in [17]. However, no information on the relative robustness increase and performance decrease of the solutions is available and thus, no trade o# decisions can be made on the obtained solutions. 3 Variance based measures for robustness The search for robust optimal solutions has been widely ....
....and encouraging results have been obtained. Although the proposed method is originally targeted at achieving trade o# optimal solutions between performance and robustness, it is straightforward to imagine that the method can also be used in detecting multiple optima of multimodal functions [17]. To show this capability, we consider the central two peak trap function studied in [20] The function is modified to be a minimization problem and rescaled as shown in Fig. 10(a) # 0.16x if x 10, 0.4(20 x) if x 15, 0.32(15 x) otherwise. 35) The function has two minima and is ....
D.E. Goldberg and J. Richardson. Genetic algorithms with sharing for multimodal function optimization. In J.J. Grefenstette, editor, Proceedings of the 2nd International Conference on Genetic Algorithms, pages 41--49, 1987.
....to present a human user with a set of solutions trading o# between the robustness and the optimality, from which the user has to make a choice according to the need of the application. A method has been suggested in [3] for detecting multiple robust solutions using the sharing method suggested in [11]. However, no information on the relative robustness increase and performance decrease of the solutions is available and thus no trade o# decisions can be made on the obtained solutions. In statistics, a population is defined as any entire collection of elements under investigation, while a ....
....and encouraging results have been obtained. Although the proposed method is originally targeted at achieving trade o# optimal solutions between performance and robustness, it is straightforward to imagine that the method can also be used in detecting multiple optima of multimodal functions [11]. To show this capability, we consider the central two peak trap function studied in [17] The function is modified to be a minimization problem and rescaled as shown in Fig. 9(a) f(x) # 0.16x if x 10, 0.4(20 x) if x 15, 0.32(15 x) otherwise. 36) The function has two minima ....
D.E. Goldberg and J. Richardson. Genetic algorithms with sharing for multimodal function optimization. In J.J. Grefenstette, editor, Proceedings of the 2nd International Conference on Genetic Algorithms, pages 41--49, 1987.
No context found.
Goldberg, D. E. and Richardson, J. (1987). Genetic algorithms with sharing for multimodal function optimization. In Proceedings of the Second International Conference on Genetic Algorithms, pages 41--49, Hillsdale, N. J. Lawrence Erlbaum Associates.
No context found.
D. Goldberg and J. J. Richardson, "Genetic algorithms with sharing for multimodal function optimization," in Proceedings Second International Conference on Genetic Algorithm, pp. 41--49, 1987.
No context found.
Goldberg, D. E.& Richardson, J. (1987), Genetic algorithms with sharing for multimodal function optimization, in `Proceedings of the 2nd International Conference on Genetic Algorithms and their Applications , Lawrence Erlbaum Associates, pp. 41--49.
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D. E. Goldberg and J. Richardson, "Genetic algorithms with sharing for multimodalfunction optimization," in Proc. 2nd Int. Conf. Genetic Algorithms and their Applications, J. J. Grefenstette, Ed., Cambridge, MA, July 1987, pp. 41--49.
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Goldberg, D. and Richardson, J. (1987). Genetic algorithms with sharing for multimodalfunction optimization. In Grefenstette, J., editor, Proceedings of the 2nd International Conference on Genetic Algorithms and their Applications, pages 41--49, Cambridge, MA. Lawrence Erlbaum Associates.
No context found.
D. E. Goldberg and J. Richardson. Genetic algorithms with sharing for multimodal function optimization. In Proceedings of the International Conference on Genetic Algorithms, pages 41--49, 1987.
No context found.
D. Goldberg and J. J. Richardson, "Genetic algorithms with sharing for multimodal function optimization," in Proceedings Second International Conference on Genetic Algorithm, pp. 41--49, 1987.
No context found.
D. Goldberg and J. Richardson. Genetic algorithms with sharing for multimodal function optimization. In Grefenstette, editor, Proceedings of the 2nd International Conference on Genetic Algorithms, pages 41--49, 1987.
No context found.
D. Goldberg and J. Richardson. Genetic algorithms with sharing for multimodal function optimization. In Grefenstette, editor, Proceedings of the 2nd International Conference on Genetic Algorithms, pages 41--49, 1987.
No context found.
Goldberg, D.E. and Richardson, J.: Genetic algorithms with sharing for multimodal function optimzation. In: Grefenstette, J.J. (eds.): Genetic Algorithms and their Applications: Proceedings of the Second International Conference on Genetic Algorithms. Lawrence Earlbaum, Hillsidale, New Jersey (1987) 41--49
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D. E. Goldberg and J. Richardson. Genetic algorithms with sharing for multimodal function optimization. In Proc. of the Second Intl. Conference on Genetic Algorithms, pages 41--49, 1987.
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D. E. Goldberg and J. Richardson. Genetic algorithms with sharing for multimodal function optimisation. In Proc. of 2 Algorithms and Their Applications, pages 4149, 1987.
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D. E. Goldberg and J. Richardson, "Genetic algorithms with sharing for multi-modal function optimisation," Proc. 2nd Int. Conf. Genetic Algorithms and Their Applications, 1987, pp. 41--49.
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D.E. Goldberg and J. Richardson. Genetic algorithms with sharing for multimodal function optimization. In J.J. Grefenstette, editor, Proceedings of the Second International Conference on Genetic Algorithms, pages 148--154, San Francisco, 1987. CA: Morgan Kaufmann.
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D. Goldberg and J. Richardson. Genetic algorithms with sharing for multimodal function optimization. In Grefenstette, editor, Proceedings of the 2nd International Conference on Genetic Algorithms, pages 41--49, 1987.
No context found.
D. E. Goldberg and J. Richardson. Genetic algorithms with sharing for multimodal function optimization. In Proc. of the Second Intl. Conference on Genetic Algorithms, pages 41--49, 1987.
No context found.
D. Goldberg and J. Richardson. Genetic algorithms with sharing for multimodal function optimization. In Grefenstette, editor, Proceedings of the 2nd International Conference on Genetic Algorithms, pages 41--49, 1987.
No context found.
David E. Goldberg and J. Richardson. Genetic algorithms with sharing for multimodal function optimization. In J. J. Grefenstette, editor, Genetic Algorithms and their Applications, pages 41-49, Hillsdale, New Jersey, 1987. Lawrence Erlbaum Associates.
No context found.
D. E. Goldberg and J. Richardson. Genetic algorithms with sharing for multimodal function optimisation. In Proc. of 2 Algorithms and Their Applications, pages 4149, 1987.
No context found.
Goldberg, D.E., Richardson, J.: Genetic algorithms with sharing for multimodal function optimization, Proc. Second International Conference on Genetic Algorithms (ICGA'87), Hillsdale, NJ, (1987) 41-49.
No context found.
D. Goldberg and J. Richardson. Genetic algorithms with sharing for multimodal function optimization. In Grefenstette, editor, Proceedings of the Second International Conference on Genetic Algorithms, pages 41--49, San Mateo, CA., 1987. Morgan Kaufmann Publishers.
No context found.
D.E. Goldberg and J. Richardson. Genetic Algorithms with Sharing for Multimodal Function Optimization. In J.J. Grefenstette, editor, Proceeding of the Second International Conference on Genetic Algorithms and their Applications, pages 41--49. Lawrence Erlbaum Associates, Hillsdale, NJ, 1987.
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