Work

Research on a Class of Optimization Problems of Higher Education Cost with Cobb–Douglas Constraint Condition

Year: 2025

Type: article

Abstract: This study focuses on a class of optimization problems about higher education costs with industrial production characteristics, in which the objective function is a quadratic cost function and the nonlinear constraints follow the Cobb–Douglas form. Through variable substitution, this class of nonlinear-constrained optimization problems is converted into optimization problems with linear constraints. Further, this study derives the conditions for the existence of optimal solutions to this optimization problem and conducts numerical simulations for the two-variable scenario to demonstrate its applicability in the field of higher education.

Source: Symmetry

DOI: 10.3390/sym17122035

Authors: Mingxia Lv, Ping Ji, Yirong Ying

Institutions: Shanghai University, Shanghai International Studies University, Xianda College of Economics and Humanities, Shanghai International Studies University, East China Normal University

Language: English

Topic: Optimization and Mathematical Programming

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

Funders: Ministry of Education - Singapore, National Social Science Fund of China