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Operations Research Transactions >

2021 , Vol. 25 >Issue 1: 81 - 88

DOI: https://doi.org/10.15960/j.cnki.issn.1007-6093.2021.01.007

A new filled function and its application in data fitting problems

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  • 1. College of Mathematics and Computer Science, Zhejiang NormalUniversity, Jinhua 321004, Zhejiang, China
    2. College of Agriculture and Biological Engineering, Jinhua Polytechnic, Jinhua 321007, Zhejiang, China
    3. College of Economics and Management, Zhejiang Normal University, Jinhua 321004, Zhejiang, China

Received date: 2019-01-17

  Online published: 2021-03-05

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Abstract

The filled function method is one of the effective methods to solve the global optimization problem. In this paper, a new continuous and differentiable nonparameter filled function is proposed for the unconstrained optimization problem. The related properties of the filled function are proved and the corresponding algorithm is designed. By comparing with the numerical experimental results in previous literature, it is shown that the proposed filled function algorithm is effective and feasible. Then, the proposed filled function method is used to solve the data fitting example of cutting temperature experimental data, compared with the existing least squares method and genetic algorithm, the fitting effect is better.

Key words： global optimization; filled function; non-parameter; data fitting

Cite this article

Jiali CHEN, Ying ZHANG, Shenggang WANG, Xiaoying XIE . A new filled function and its application in data fitting problems[J]. Operations Research Transactions, 2021 , 25(1) : 81 -88 . DOI: 10.15960/j.cnki.issn.1007-6093.2021.01.007

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