A novel simultaneous grey model parameter optimization method and its application to predicting private car ownership and transportation economy

变量(数学) 计算机科学 数学优化 功能(生物学) 常微分方程 价值(数学) 微分方程 应用数学 数学 机器学习 数学分析 进化生物学 生物
作者
Maolin Cheng,Cheng Zhang
出处
期刊:Journal of Industrial and Management Optimization [American Institute of Mathematical Sciences]
卷期号:19 (5): 3160-3171 被引量:1
标识
DOI:10.3934/jimo.2022081
摘要

Common models used for grey system predictions include the GM (1, 1), GM (1, N), and GM (N, 1). Their whitening equations are ordinary differential equations. However, the objects and factors are generally characterized by mutual restrictions and variable interactions. Thus, the relationship cannot be adequately described using a single differential equation. Therefore, this paper proposes a novel simultaneous grey model. A parameter optimization method is developed, and the time response equation of a simultaneous grey model with 2 interactive variables is derived. The model has high simulation and prediction precision because the parameter optimization's objective function minimizes the average relative errors of the simulation and prediction. The proposed model with two mutually influencing variables is used to predict the private car ownership and the added value of the transportation industry in China. The results indicate that the simultaneous grey model has significantly higher precision than the conventional single grey model. The novel model and method improve the grey modeling system and are significant for in-depth studies, popularization, and application of grey models.
最长约 10秒,即可获得该文献文件

科研通智能强力驱动
Strongly Powered by AbleSci AI
更新
PDF的下载单位、IP信息已删除 (2025-6-4)

科研通是完全免费的文献互助平台,具备全网最快的应助速度,最高的求助完成率。 对每一个文献求助,科研通都将尽心尽力,给求助人一个满意的交代。
实时播报
1秒前
lelelele完成签到,获得积分10
2秒前
2秒前
Jay完成签到,获得积分10
3秒前
FashionBoy应助笑点低诗桃采纳,获得10
4秒前
4秒前
青柠完成签到,获得积分10
5秒前
258369发布了新的文献求助10
7秒前
Ava应助俏皮的白柏采纳,获得10
8秒前
James- LPY发布了新的文献求助10
9秒前
千余发布了新的文献求助10
12秒前
anan完成签到,获得积分10
12秒前
15秒前
15秒前
16秒前
17秒前
莹0000完成签到,获得积分10
18秒前
19秒前
YamDaamCaa应助科研通管家采纳,获得30
20秒前
YamDaamCaa应助科研通管家采纳,获得30
21秒前
桐桐应助科研通管家采纳,获得10
21秒前
21秒前
烟花应助科研通管家采纳,获得10
21秒前
星辰大海应助科研通管家采纳,获得10
21秒前
21秒前
moon发布了新的文献求助10
21秒前
幽默尔蓝发布了新的文献求助10
21秒前
默默的裘完成签到,获得积分10
23秒前
科研通AI2S应助liuzengzhang666采纳,获得10
24秒前
深情安青应助lll采纳,获得10
25秒前
闪闪完成签到,获得积分10
26秒前
AST灰烬发布了新的文献求助10
26秒前
27秒前
鲤跃发布了新的文献求助10
29秒前
30秒前
31秒前
情怀应助moon采纳,获得10
31秒前
31秒前
lll应助文件撤销了驳回
34秒前
34秒前
高分求助中
A new approach to the extrapolation of accelerated life test data 1000
ACSM’s Guidelines for Exercise Testing and Prescription, 12th edition 500
‘Unruly’ Children: Historical Fieldnotes and Learning Morality in a Taiwan Village (New Departures in Anthropology) 400
Indomethacinのヒトにおける経皮吸収 400
Phylogenetic study of the order Polydesmida (Myriapoda: Diplopoda) 370
基于可调谐半导体激光吸收光谱技术泄漏气体检测系统的研究 350
Robot-supported joining of reinforcement textiles with one-sided sewing heads 320
热门求助领域 (近24小时)
化学 材料科学 医学 生物 工程类 有机化学 生物化学 物理 内科学 纳米技术 计算机科学 化学工程 复合材料 遗传学 基因 物理化学 催化作用 冶金 细胞生物学 免疫学
热门帖子
关注 科研通微信公众号,转发送积分 3988868
求助须知:如何正确求助?哪些是违规求助? 3531255
关于积分的说明 11253071
捐赠科研通 3269858
什么是DOI,文献DOI怎么找? 1804822
邀请新用户注册赠送积分活动 881994
科研通“疑难数据库(出版商)”最低求助积分说明 809035