基于改进行程时间估计模型的最优路径选择
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南京林业大学汽车与交通工程学院

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国家自然科学基金/National Natural Science Foundation of China(51508280);南京林业大学高学历人才基金/High Education Talent Fund of Nanjing Forestry University(GXL2014031)


Optimal path selection based on improved travel time estimation model
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    摘要:

    为解决交通网络最优路径问题,提出了改进的行程时间估计模型,并设计了基于该模型的最优路径算法。行程时间估计模型在分段截断二次速度轨迹模型的基础上进行改进,用路段节点的到达速度代替同一出发时刻下测得的速度,通过构造在时间和空间上连续的速度轨迹来估计行程时间。基于行程时间估计的最优路径算法首先基于Yen’s KSP算法以路段距离为阻抗求解K条最短路径,其次分别用改进的行程时间估计模型估计K条最短路径的行程时间,最后以行程时间为成本选择最优的路径。通过Sioux falls网络的数值试验验证模型和算法的有效性和优越性。试验结果表明:改进的分段截断二次速度轨迹模型相比于原始模型精度平均提高了65%;基于本文算法的最优路径结果能减少路径经过的交叉口数和缩短最优路径的总长度,而且最优路径的行程时间的估计结果与真实值的MAPE保持在3%内。此研究结果为交通网络最优路径方法提供了理论依据。

    Abstract:

    To solve the optimal path problem of the traffic network, an improved travel time estimation model is proposed, and an optimal path algorithm based on this model is designed. The travel time estimation model is improved on the basis of the segment truncated quadratic velocity trajectory model by replacing the velocity measured at the same departure moment with the arrival velocity of the road segment nodes, and the travel time is estimated by constructing a velocity trajectory that is continuous in time and space. The optimal path algorithm based on travel time estimation firstly solves K shortest paths based on Yen"s KSP algorithm with road section distance as impedance, secondly estimates the travel time of K shortest paths by the improved travel time estimation model respectively, and finally selects the optimal path with travel time as cost. The validity and superiority of the model and algorithm are verified by numerical experiments of Sioux falls network. The experimental results show that: the improved segmented truncated quadratic speed trajectory model improves the accuracy by an average of 65% compared with the original model; the optimal path results based on the algorithm of this paper can reduce the number of intersections the path passes through and shorten the total length of the optimal path, Moreover, the estimated results of the optimal path"s travel time stay within 3% of the real value of MAPE. The results of this study provide a theoretical basis for the optimal path method for traffic networks.

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  • 收稿日期:2022-03-22
  • 最后修改日期:2022-05-02
  • 录用日期:2022-05-07
  • 在线发布日期: 2023-06-21
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