Construction of College Students' Happiness Index Evaluation Model and Optimization of Budget Allocation—Integrated Application of Analytic Hierarchy Process and Linear Programming

Peiwen Luo

2025

Abstract

The College students constitute a distinct demographic characterized by strong consumption desires coupled with limited financial resources, which poses challenges to their overall well-being as measured by the happiness index. This study aims to enhance the happiness index of college students by first collecting empirical data on the allocation proportions of living expenses and their respective contributions to happiness through structured questionnaire surveys. The Analytic Hierarchy Process (AHP) employing a 1–9 scale was utilized to quantitatively assess the happiness index associated with each expenditure category, with subsequent consistency testing of the judgment matrix confirming the validity of the evaluations. A constrained linear programming model was then developed, defining the maximization of the aggregate happiness index as the objective function and treating the proportional distribution of living expenses as decision variables. By optimizing these allocations, the model seeks to maximize overall student happiness. Validation through a case study on a randomly selected participant’s expenditure data demonstrated a substantial increase in the happiness index post-optimization, thereby confirming the model’s applicability and efficacy. This integrative methodological approach combining AHP and linear programming provides a novel framework for the quantitative assessment and optimization of subjective well-being among college students, offering significant implications for targeted financial planning and welfare improvement strategies.

Paper Citation

in Harvard Style

Luo P. (2025). Construction of College Students' Happiness Index Evaluation Model and Optimization of Budget Allocation—Integrated Application of Analytic Hierarchy Process and Linear Programming. In Proceedings of the 2nd International Conference on Engineering Management, Information Technology and Intelligence - Volume 1: EMITI; ISBN 978-989-758-792-4, SciTePress, pages 151-156. DOI: 10.5220/0014323900004718

in Bibtex Style

@conference{emiti25,
author={Peiwen Luo},
title={Construction of College Students' Happiness Index Evaluation Model and Optimization of Budget Allocation—Integrated Application of Analytic Hierarchy Process and Linear Programming},
booktitle={Proceedings of the 2nd International Conference on Engineering Management, Information Technology and Intelligence - Volume 1: EMITI},
year={2025},
pages={151-156},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0014323900004718},
isbn={978-989-758-792-4},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 2nd International Conference on Engineering Management, Information Technology and Intelligence - Volume 1: EMITI
TI - Construction of College Students' Happiness Index Evaluation Model and Optimization of Budget Allocation—Integrated Application of Analytic Hierarchy Process and Linear Programming
SN - 978-989-758-792-4
AU - Luo P.
PY - 2025
SP - 151
EP - 156
DO - 10.5220/0014323900004718
PB - SciTePress