| 基于二次插值法的交通需求组合模型算法 |
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| 引用本文： | 蒲琪,杨超,涂颖菲.基于二次插值法的交通需求组合模型算法[J].同济大学学报(自然科学版),2009,37(12). |
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| 作者姓名： | 蒲琪 杨超 涂颖菲 |
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| 作者单位： | 1. 同济大学铁道与城市轨道交通研究院,上海,201804
2. 同济大学交通运输工程学院,上海,201804 |
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| 基金项目： | 国家"八六三"高技术研究发展计划资助项目，国家自然科学基金资助项目，新世纪优秀人才支持计划资助项目 |
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| 摘 要： | 交通需求组合模型(CTI)M)基于随机效用理论组合了出行-分布-方式-路径选择,突破了传统四步骤模型的局限,并可以描述为一个非线性规划问题.对求解CTDM的部分线性化算法进行分析,提出了在进行步长优化时使用二次插值法得到模拟最优步长的方法.使用经典路网Sioux Falls,将所提出的算法与连续平均法和精确线性搜索算法比较,验证了二次插值法的计算精度高,收敛速度快.
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| 关 键 词： | 交通需求 组合模型 二次插值法 部分线性化 |
A Quadratic Interpolation Method Based Algorithm for a Combined Travel Demand Model |
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| PU Qi,YANG Chao and TU Yingfei.A Quadratic Interpolation Method Based Algorithm for a Combined Travel Demand Model[J].Journal of Tongji University(Natural Science),2009,37(12). |
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| Authors: | PU Qi YANG Chao and TU Yingfei |
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| Institution: | Institute of Railway and Urban Rail Transit, Tongji University, Shanghai 201804, China;School of Transportation Engineering, Tongji University, Shanghai 201804, China;School of Transportation Engineering, Tongji University, Shanghai 201804, China |
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| Abstract: | The combined travel demand model (CTDM) combines the travel-destination-mode-route choice based on the random utility theory. This model avoids the limitation of the conventional sequential four-step procedure, and can be formulated as a non-linear programming problem. By analyzing the partial linearization algorithm of CTDM, a quadratic interpolation method is proposed to obtain the approximated optimal step size. Comparison of the proposed algorithm with method of successive averages and bi-section line search method in the classic Sioux Falls network confirms that the quadratic interpolation can converge faster and get better solution than the other two methods. |
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| Keywords: | travel demand combined model quadratic interpolation partial linearization |
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