A Novel Parameter-Free Filled Function and Its Application in Least Square Method

LI Shuo, SHANG You-lin, QU De-qiang,

doi:10.13371/j.cnki.chin.q.j.m.2021.03.005

Chinese Quarterly Journal of Mathematics >

2021 , Vol. 36 >Issue 3: 263 - 274

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2021.03.005

A Novel Parameter-Free Filled Function and Its Application in Least Square Method

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1.School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471000, China; 2. Business School, University of Shanghai for Science and Technology, Shanghai 200093, China

LI Shuo (1996-), female, native of Nanyang, Henan, postgraduate student of Henan University of Science and Technology, engages in operations research and cybernetics; SHANG You-lin (1963-), male, native of Luoyang, Henan, professor of Henan University of Science and Technology, Ph.D supervisor, engages in operations research, cybernetics, systems science and engineering; QU De-qiang (1996-), male, native of Nanyang, Henan, engages in operations research, cybernetics and system science.

Received date: 2021-04-22

Online published: 2021-07-14

Supported by

Supported by National Natural Science Foundation of China (Grant No. 12071112, 11471102);
Basic Research Projects for Key Scientific Research Projects in Henan Province (Grant No. 20ZX001).

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Abstract

The filled function algorithm is an important method to solve global optimization problems. In this paper, a parameter-free filled function is proposed for solving general global optimization problem, discuss the theoretical properties of this function and give the corresponding algorithm. The numerical experiments on some typical test problems using the algorithm and the numerical results show that the algorithm is effective. Applying the filled function method to the parameter solving problem in the logical population growth model, and then can be effectively applied to Chinese population prediction. The experimental results show that the algorithm has good practicability in practical application.

Key words： Global optimization; Parameter-free filled function; Logistic population growth model; Chinese population prediction

Cite this article

LI Shuo, SHANG You-lin, QU De-qiang, . A Novel Parameter-Free Filled Function and Its Application in Least Square Method[J]. Chinese Quarterly Journal of Mathematics, 2021 , 36(3) : 263 -274 . DOI: 10.13371/j.cnki.chin.q.j.m.2021.03.005

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