A Linear Forecasting Model and Algorithm for Running Time of Urban Rail Transit
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摘要: 为更加准确地预测城市轨道交通列车运行时间,建立列车运行时间改进线性预测模型.该模型基于正交函数和最小均方误差规则求解线性预测系数.采用不同长度的数据样本建立预测模型,分析数据样本长度和预测阶数对预测结果的影响,进而引入基于顺序迭代法的数据调整机制,提高模型系数计算的准确性.通过对比站间距离不等的情况下距离变换前后模型预测的准确性,分析了站间距离对预测精度的影响,进而引入站间距离的线性变换方法,提高模型的预测精度.结果表明,模型改进前后的平均预测精度分别为92.53%和95.43%,预测精度提高3.13%;提高预测阶数可小幅提高模型预测精度,模型的改进可明显提高运行时间的预测精度.将该模型应用于上海轨道交通2号线列车运行时间的预测,与列车运动模型相比,所提模型预测误差降低17.4%,验证了模型的实用性与准确性.Abstract: A modified linear forecasting model is established in order to accurately forecast the running time of trains of urban rail transit.This proposed model computes the linear prediction coefficients based on orthogonal function and the rule of integrating minimum mean square error (MMSE).Sample data with different lengths is used to construct forecasting models.The effect of length of sample data and order of prediction on forecasting accuracy is analyzed by comparing computed results.The adjustment mechanism of sequential iteration-based data is then incorporated into this model to improve the accuracy of data in computing coefficients.The effects of the inter-station distances on forecasting accuracy are analyzed by comparing the results of this model before and after the transformation of distance under the unequal inter-station distances scenario.A linear transformation method of inter-station distances is incorporated into this proposed model to improve the precision of forecast.The results show that the average accuracy of forecast of this proposed model is 95.43% while which of the original model is 92.53%, increases by 3.13%;the accuracy of this model can be slightly improved by increasing the order of prediction, predictive accuracy of running time can be obviously improved by using the modified model in contrast with the original model.This proposed model is used to forecast the running time of trains of Shanghai Metro Line 2 as a case study, and the forecast error of this model is 17.4% less than the train′s motion model, which shows the applicability and high accuracy of this model.
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