An anisotropic continuum model and its calibration with an improved monkey algorithm
An anisotropic continuum model and its calibration with an improved monkey algorithm
复制标题
各向异性连续介质模型及其改进猴算法标定
DOI：
10.1080/23249935.2017.1299814
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发表时间：
2017
影响因子：
3.3
通讯作者：
Tian He
中科院分区：
文献类型：
--
作者：
Liang Zheng;Zhengbing He;Tian He
摘要本文提出了一种各向异性连续介质模型，它是由简化的Helly模型推导而来的。然后利用非线性弱解理论分析了其宽簇解的可容许性。在此基础上，采用动态自适应猴子算法（DAMA）对模型进行了两种情况下的校正，结果表明：DAMA算法使性能指标和模型参数在有限的迭代次数内收敛到最优值，校正后的模型除了能较好地再现从下游边界传播的流量扰动外，还能较好地再现US 101站点内的“橡胶颈”效应所引起的流量扰动;（3）基于Del Castillo和Benitez关系或Greedshields关系的模型得到了更好的标定和验证结果;（4）性能指标对密度相关参数的敏感性高于对速度相关参数的敏感性。综上所述，DAMA算法校正后的各向异性模型能够很好地再现真实的交通流波形，是一种很有前途的高阶模型校正算法。
ABSTRACT This study proposes an anisotropic continuum model derived from a simplified Helly's model. Its admissibility of a wide cluster solution is then analyzed by the nonlinear weak solution theory. After that, it is calibrated by a monkey algorithm with dynamic adaptation (DAMA) under two cases, and it is concluded that (1) DAMA makes the performance index and model parameters converge to their optimal values in limited iterations; (2) this calibrated model well reproduces the traffic congestions originating from a rubberneck effect within US101 site, besides of those propagated from the downstream boundary; (3) this proposed model with relations of Del Castillo and Benitez, or Greedshields gets better calibration and validation results; (4) the performance index is more sensitive to density-related parameters than to speed-related parameters. In summary, this anisotropic model calibrated by DAMA can well reproduce real traffic waves, and DAMA is a promising algorithm for the higher-order model calibration.