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Method of Deformed Stars for Multi-extremal Optimization. One- and Two-Dimensional Cases

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Mathematical Modeling and Simulation of Systems (MODS 2019)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1019))

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Abstract

This paper describes the task of optimizing a multi-extremal function, which in general can be given analytically, tabularly or algorithmically. The method of deformed stars is developed, which belongs to the class of evolutionary methods and allows to take into account the relief of the investigated function. Its advantages are the speed of convergence and result accuracy in comparison with other evolutionary methods. The obtained results of experiments allow us to conclude that the proposed method is applicable to solving problems of finding optimal (suboptimal) values, including non-differentiated functions.

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Correspondence to Vitaliy Snytyuk .

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Snytyuk, V. (2020). Method of Deformed Stars for Multi-extremal Optimization. One- and Two-Dimensional Cases. In: Palagin, A., Anisimov, A., Morozov, A., Shkarlet, S. (eds) Mathematical Modeling and Simulation of Systems. MODS 2019. Advances in Intelligent Systems and Computing, vol 1019. Springer, Cham. https://doi.org/10.1007/978-3-030-25741-5_13

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