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Differential evolution algorithm of solving an inverse problem for the spatial Solow mathematical model
Journal of Inverse and Ill-posed Problems ( IF 1.1 ) Pub Date : 2020-09-04 , DOI: 10.1515/jiip-2020-0108 Sergey Kabanikhin 1 , Olga Krivorotko 1 , Zholaman Bektemessov 2 , Maktagali Bektemessov 3 , Shuhua Zhang 4
Journal of Inverse and Ill-posed Problems ( IF 1.1 ) Pub Date : 2020-09-04 , DOI: 10.1515/jiip-2020-0108 Sergey Kabanikhin 1 , Olga Krivorotko 1 , Zholaman Bektemessov 2 , Maktagali Bektemessov 3 , Shuhua Zhang 4
Affiliation
Abstract The differential evolution algorithm is applied to solve the optimization problem to reconstruct the production function (inverse problem) for the spatial Solow mathematical model using additional measurements of the gross domestic product for the fixed points. Since the inverse problem is ill-posed the regularized differential evolution is applied. For getting the optimized solution of the inverse problem the differential evolution algorithm is paralleled to 32 kernels. Numerical results for different technological levels and errors in measured data are presented and discussed.
中文翻译:
求解空间Solow数学模型逆问题的差分进化算法
摘要 差分进化算法被应用于解决优化问题,以使用固定点的国内生产总值的附加测量来重建空间索洛数学模型的生产函数(逆问题)。由于逆问题是不适定的,因此应用了正则化的微分进化。为了得到逆问题的优化解,差分进化算法与 32 个内核并行。给出并讨论了不同技术水平和测量数据误差的数值结果。
更新日期:2020-09-04
中文翻译:
求解空间Solow数学模型逆问题的差分进化算法
摘要 差分进化算法被应用于解决优化问题,以使用固定点的国内生产总值的附加测量来重建空间索洛数学模型的生产函数(逆问题)。由于逆问题是不适定的,因此应用了正则化的微分进化。为了得到逆问题的优化解,差分进化算法与 32 个内核并行。给出并讨论了不同技术水平和测量数据误差的数值结果。