<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In this paper, in the process of solving the mathematical model of sports facility optimization, the integer linear programming issue of choosing a sports facility is solved using a branch delimitation approach paired with a recursive matrix-based column-generating method. As part of the process of creating a scientific evaluation system for physical education, a hierarchical gray correlation-based evaluation model for the quality of physical education in colleges and universities is built by combining the hierarchical analysis weight-solving method and the solution method of the gray correlation degree. After the analysis, 81.1% of the teachers and students were satisfied after physical education facilities were optimized with the physical education teaching facilities. The gray correlation coefficient of physical education hardware facilities and software is 0.7, and the gray correlation coefficient of physical education effect is 0.18.</p>
</abstract>

In this paper, in the process of solving the mathematical model of sports facility optimization, the integer linear programming issue of choosing a sports facility is solved using a branch delimitation approach paired with a recursive matrix-based column-generating method. As part of the process of creating a scientific evaluation system for physical education, a hierarchical gray correlation-based evaluation model for the quality of physical education in colleges and universities is built by combining the hierarchical analysis weight-solving method and the solution method of the gray correlation degree. After the analysis, 81.1% of the teachers and students were satisfied after physical education facilities were optimized with the physical education teaching facilities. The gray correlation coefficient of physical education hardware facilities and software is 0.7, and the gray correlation coefficient of physical education effect is 0.18.

Column generation algorithm based on recursive matrix for optimal development strategy of physical education teaching in colleges and universities

Department of Physical Education and Research

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

In this paper, in the process of solving the mathematical model of sports facility optimization, the integer linear programming issue of choosing a sports...

Column generation algorithm based on recursive matrix for optimal development strategy of physical education teaching in colleges and universities

Published Online: Oct 15, 2023

Page range: -

Received: Nov 14, 2022

Accepted: Apr 25, 2023

DOI: https://doi.org/10.2478/amns.2023.2.00658

Keywords
Recursive matrix, Column generation algorithm, Hierarchical analysis, Gray correlation, Physical education optimization

© 2023 Yang Liu, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Column generation algorithm based on recursive matrix for optimal development strategy of physical education teaching in colleges and universities

Published Online: Oct 15, 2023

Page range: -

Received: Nov 14, 2022

Accepted: Apr 25, 2023

DOI: https://doi.org/10.2478/amns.2023.2.00658

KeywordsRecursive matrix, Column generation algorithm, Hierarchical analysis, Gray correlation, Physical education optimization

© 2023 Yang Liu, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Recursive matrix, Column generation algorithm, Hierarchical analysis, Gray correlation, Physical education optimization