基于PCA和HMM的汽车保有量预测方法

孙璐; 郁烨; 顾文钧

doi:10.19818/j.cnki.1671-1637.2013.02.014

基于PCA和HMM的汽车保有量预测方法

doi: 10.19818/j.cnki.1671-1637.2013.02.014

孙璐^{1, 2,},
郁烨¹,
顾文钧²

1.
东南大学交通学院, 江苏南京 210096
2.
美国天主教大学土木工程系, 华盛顿特区 20064

基金项目:

国家自然科学基金项目 51010044

国家自然科学基金项目 U1134206

详细信息

作者简介:
孙璐(1972-), 男, 上海人, 东南大学教授, 长江学者, 工学博士, 从事道路交通安全研究

中图分类号: U491.14
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- 被引次数: 0
出版历程
- 收稿日期: 2012-09-17
- 刊出日期: 2013-04-25

Car ownership prediction method based on principal component analysis and hidden Markov model

SUN Lu^{1, 2
,},
YU Ye¹,
GU Wen-jun²

1.
School of Transportation, Southeast University, Nanjing 210096, Jiangsu, China
2.
Department of Civil Engineering, The Catholic University of America, Washington DC 20064, USA

More Information

Author Bio:
SUN Lu (1972-), male, professor, PhD, +86-25-83792619, sunl@cua.edu

摘要

摘要: 分析了常用的汽车保有量预测方法, 提出了一种新的基于主成分分析和隐马尔可夫模型的汽车保有量预测方法。选取国民总收入、人均GDP、人口总数量、城市化率、固定资产投资总额、进出口总额、城镇居民人均可支配收入、钢材产量、公路货运量、公路客运量、社会消费品零售总额11个指标作为汽车保有量的主要影响因素, 运用主成分分析提取了主要影响因素的主成分。以提取的主成分与汽车保有量分别作为自变量、因变量, 建立了回归分析模型。以汽车保有量回归预测值的年增长率为隐状态, 以回归预测值与实际值的相对误差为可见信号, 建立了隐马尔科夫模型, 并对的汽车保有量回归预测值进行修正。分析结果表明: 基于1994~2008年的中国汽车保有量及其主要影响因素的历史数据, 应用提出的方法得到2009、2010年的汽车保有量修正值分别为6.220 96×10⁷、7.825 12×10⁷ veh; 与2009、2010年实际汽车保有量比较, 相对误差分别为-0.95%、0.30%。可见, 基于主成分分析和隐马尔科夫模型的汽车保有量预测方法具有良好的预测精度, 能够适用于短期预测。
- 汽车保有量预测 /
- 隐马尔可夫模型 /
- 主成分分析 /
- 回归分析 /
- 灰色预测
Abstract: The usual prediction methods of car ownership were analyzed, a new car ownership prediction method based on principal component analysis(PCA) and hidden Markov model(HMM) was put out. The 11 indexes including gross national income, per capita GDP, total population number, urbanization rate, total fixed asset investment, gross import and export, urban resident disposable income, steel output, highway passenger transport volume, highway freight transport volume, total retail sales of consumer goods were taken as the main influence factors of car ownership, and PCA was used to extract the principal components of main influence factors. The principal component and car ownership were taken as independent variable and dependent variable respectively, and the regression analysis model was set up. The annual growth rates of regression prediction values for car ownership were taken as hidden state, the relative errors between regression prediction values and actual values were taken as visible signal, the hidden Markov model was built, and the regression prediction values of car ownership were modified.Analysis result shows that based on car ownerships and the historical data of main influence factors in 1994-2008, the numbers of modified car ownership in 2009 and 2010 are 6.220 96×10⁷ and 7.825 12×10⁷ by using the proposed method.Compared with the actual values of car ownership in 2009 and 2010, relative errors are-0.95% and 0.30% respectively. So car ownership prediction method based on PCA and HMM has a high prediction accuracy and is suitable for short-term prediction.
- car ownership prediction /
- hidden Markov model /
- principal component analysis /
- regression analysis /
- grey prediction

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图 1 汽车保有量与主成分的关系

Figure 1. Relationship between car ownership and principal component

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表 1 主要影响因素

Table 1. Main influence factors

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表 2 相关系数

Table 2. Correlation coefficients

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表 3 方差贡献率

Table 3. Total variance explained

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表 4 汽车保有量的回归预测值

Table 4. Regression prediction values of car ownership

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表 5 分类标准

Table 5. Classification standard

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表 6 状态转移序列和可见信号序列

Table 6. State transfer sequence and visible signal sequence

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表 7 状态转移概率

Table 7. State transfer probability

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表 8 可见信号的分布概率

Table 8. Distribution probability of visible signals

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表 9 预测结果

Table 9. Prediction result

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