Genetic Algorithms:“Non-Smooth” Discrete Optimization

Author(s):  
Hung T. Nguyen ◽  
Vladik Kreinovich
Author(s):  
Masao Arakawa ◽  
Ichiro Hagiwara

Abstract Genetic algorithms are effective algorithms for large scaled combinatorial optimization. They are potentially effective in integer and discrete optimization. However, as they are not well coded to its tedious expression in converting chromosomes to design variables, we need to do some special efforts to overcome these flaws. In the proposed method, it automatically adapts searching ranges according to the situation of the generation. Thus, we are free from these flaws. Moreover, we don’t have to give too many genes to chromosome, we can save computational time and memory and the convergence becomes better. In this paper, we combine the proposed integer and discrete adaptive range genetic algorithms and adaptive real range genetic algorithms which we presented in the previous studies, and present an extended genetic algorithms method. We applied the proposed method to well-known test problems, compare the results with the other methods and show its effectiveness.


Author(s):  
Zhihang Qian ◽  
Jun Yu ◽  
Ji Zhou

Abstract A new optimal method based on genetic algorithms (GAs) is proposed here towards the mixed discrete optimization problems. This method has not only the advantages of high stability and wide adaptability but also a better chance of locating the global optimum. Its efficiency is much higher than that of simple genetic algorithms.


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