A study of algorithms for solving nonlinear two-level programming problems oriented to decision tree models
Published Online: Oct 09, 2023
Received: Nov 27, 2022
Accepted: Apr 19, 2023
DOI: https://doi.org/10.2478/amns.2023.2.00554
Keywords
© 2023 Jinshan Lin et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.
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.