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Classical Tunneling Function versus Exponential Tunneling Function in Tunneling Algorithm

机译:隧道算法中的经典隧道函数与指数隧道函数

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Global optimization is an active research area due to its ability to provide the best set of parameters to optimize an objective function in the area of interest. Most of real life problems are large-scale and nonlinear therefore it is felt necessary to find the global solution for large-scale and nonlinear optimization problems. Finding global minimizer of a function defined in an n-dimensional linear space is one of the most interesting areas in nonlinear programming. This paper considers the performance of the classical tunneling function in comparison with the exponential tunneling function in the tunneling algorithm. The proposed algorithm is applied to multivariable and nonlinear functions. For both tunneling functions, the tunneling algorithm was able to find the global minimizer.Keywords: Global Optimization; Classical Tunneling Function; Exponential Tunneling Function; Tunneling Algorithm; Unconstrained Minimizations. 2010 Mathematics Subject Classification: 90C26; 90C30
机译:全局优化是一个活跃的研究领域,因为它能够提供最佳参数集来优化目标领域的目标函数。现实生活中的大多数问题都是大规模的和非线性的,因此,有必要找到大规模和非线性优化问题的全局解决方案。寻找在n维线性空间中定义的函数的全局最小化器是非线性编程中最有趣的领域之一。本文将经典隧道函数的性能与隧道算法中的指数隧道函数进行比较。该算法适用于多元和非线性函数。对于这两种隧道功能,隧道算法都能够找到全局最小化器。经典的隧道功能;指数隧穿功能;隧道算法;无约束的最小化。 2010数学学科分类:90C26; 90C30

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