True temperature inversion for a multi-spectral pyrometer based on the inner penalty function constrained optimization algorithm

Zhu, Zimin; Xing, Jian

doi:10.1016/j.infrared.2022.104453

Cited by 3 publications

(1 citation statement)

References 11 publications

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“…When the upper-level objective function is a linear function and a bounded polyhedron with a nonempty constraint domain, the pairwise gap of the lower-level problem is added to the objective function of the upper-level problem based on the penalty function principle, and the optimal solution of the original two-level planning problem is then obtained by solving a series of linear planning problems [18]. A global optimization method based on a genetic algorithm is proposed for Eq.…”

Section: Decision Tree Modelmentioning

confidence: 99%

A study of algorithms for solving nonlinear two-level programming problems oriented to decision tree models

Lin,

2023

Applied Mathematics and Nonlinear Sciences

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In this paper, the original two-level planning problem is transformed into a single-level optimization problem by combining the penalty function method for the large amount of data processing involved in the training process of the decision tree model, setting the output as a classification tree in the iterative process of the CART decision tree, and recursively building the CART classification tree with the training set to find the optimal solution set for the nonlinear two-level planning problem. It is verified that the proposed solution method is also stable at a convergence index of 1.0 with a maximum accuracy of 95.37%, which can provide an efficient solution method for nonlinear two-level programming problems oriented to decision tree models.

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Section: Decision Tree Modelmentioning

confidence: 99%

A study of algorithms for solving nonlinear two-level programming problems oriented to decision tree models

Lin,

2023

Applied Mathematics and Nonlinear Sciences

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Development of Multispectral Thermal Imager for Measuring the Temperature of Long-Distance Explosion Flames

Luo,

Xue,

Sun

et al. 2024

IEEE Trans. Instrum. Meas.

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Approach to multispectral thermometry with Planck formula and hybrid metaheuristic optimization algorithm

Zhao,

Zhang,

et al. 2023

Opt. Express

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Accurate temperature measurement has significant implications for product quality, industrial process control, and scientific research. As a non-contact temperature measurement method with broad application prospects, multispectral thermometry still poses significant challenges in data processing. Currently, most multispectral thermometry methods use the Wien approximation equation to construct the objective function. However, the use of the Wien approximation equation is conditional and generally applicable only to low temperatures or short wavelengths. In this paper, what we believe is a new data processing model of multispectral thermometry is established based on the Planck formula; Additionally, a feasible region constraint method is proposed to constrain the emissivity range; By utilizing a hybrid metaheuristic optimization algorithm based on differential evolution (DE) and multi-population genetic (MPG) algorithms, the simulation results of six different models and experimental results of silicon carbide demonstrate that the proposed algorithm achieves an average relative error in temperature measurement within 0.42% and a random relative error within 0.79%. The average computation time for each temperature inversion is approximately 0.26 seconds. The accuracy and efficiency of the algorithm ensure that it can be applied to real-time temperature measurement in industrial field.

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True temperature inversion for a multi-spectral pyrometer based on the inner penalty function constrained optimization algorithm

Cited by 3 publications

References 11 publications

A study of algorithms for solving nonlinear two-level programming problems oriented to decision tree models

A study of algorithms for solving nonlinear two-level programming problems oriented to decision tree models

Development of Multispectral Thermal Imager for Measuring the Temperature of Long-Distance Explosion Flames

Approach to multispectral thermometry with Planck formula and hybrid metaheuristic optimization algorithm

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