Dynamic system optimal traffic assignment – a state-dependent control theoretic approach

Dynamic system optimal traffic assignment – a state-dependent control theoretic approach
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DOI:
10.1080/18128600902717483
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发表时间:
2009-04
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影响因子:
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通讯作者:
A. Chow
A. Chow
中科院分区:
--
文献类型:
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作者:
A. Chow

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本研究以严谨且新颖的方式探讨具出发时间选择的解析动态系统最佳指派问题。本文将动态系统的最优分配问题转化为一个状态相关的最优控制问题。一个固定的交通量分配给出发时间和路线,使总的系统旅行成本最小化。解决方案的算法和时间离散化的质量上的计算分配的影响进行了讨论。计算动态系统的最优分配和相关的最优通行费是困难的实际实施。因此,我们认为一些实用的收费策略,网络流量的动态管理。所考虑的收费策略包括统一的和基于豁免的收费策略。这项研究有助于动态交通建模和管理的文献,并支持在这一领域的进一步分析和模型开发。
This study investigates analytical dynamic system optimal assignment with departure time choice in a rigorous and original way. Dynamic system optimal assignment is formulated here as a state-dependent optimal control problem. A fixed volume of traffic is assigned to departure times and routes such that the total system travel cost is minimised. Solution algorithms are presented and the effect of time discretisation on the quality of calculated assignments is discussed. Calculating dynamic system optimal assignment and the associated optimal toll is shown to be difficult for practical implementation. We therefore consider some practical tolling strategies for dynamic management of network traffic. The tolling strategies considered include uniform and congestion-based tolling strategies. This study contributes to the literature on dynamic traffic modelling and management, and to support further analysis and model development in this area.