运用PSO法分析区域经济活力及其影响因素——以2019年亚太地区大学生数学建模竞赛B题为背景

Analysis and Decision-making of Regional Economic Vitality and Its Influencing Factors:Take the Asia and Pacific Mathematical Contest B in 2019 as the Background

区域的经济活力是区域综合竞争力的重要组成部分,本文利用2019年亚太地区大学生数学建模竞赛B题所提供的数据,通过研究目标城市的各项指标,探索指标间的关系,利用主成分分析法提炼主要因素,最终给出了经济活力指标的定量计算.运用PSO计算最佳方向导数(即梯度),结合实际情况为广东省提供发展建议.

Regional economic vitality is an important part of regional comprehensive competitiveness.This article uses the data provided by question B of the 2019 Asia-Pacific University Students Mathematical Contest in Modeling.Explore the relationship between the indicators by studying the indicators of the target city.Use principal component analysis to extract the main factors,and finally get the quantitative calculation of economic vitality indicators.Use PSO to calculate the best directional derivative and provide development suggestions for Guangdong Province based on actual conditions.