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Dynamic user equilibrium with a path based cell transmission model for general traffic networks

机译:通用交通网络中基于路径的小区传输模型的动态用户平衡

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This paper develops a formulation for the network level dynamic traffic equilibrium model with departure time choice and route choice. The embedded network loading procedure follows the cell transmission model without the holding-back issues by using detailed representations of flows at merges and diverges. The problem is modeled using a complementarity approach. The existence of the equilibrium solution is discussed using techniques from generalized variational inequalities. Computational results are performed using state of the art solvers. Since these solvers fail to solve any reasonable size networks, a specialized projection algorithm is developed to solve the problem. Numerical results are presented to demonstrate the performance of the algorithm in various starting with simple networks and extending to reasonable size networks with different traffic parameters. It is shown that the solution procedure produces good dynamic equilibrium solutions for general transportation networks.
机译:本文提出了具有出发时间选择和路径选择的网络级动态交通均衡模型的公式。嵌入式网络加载过程通过使用合并和分叉处流的详细表示,遵循了没有保留问题的小区传输模型。使用互补方法对问题进行建模。利用广义变分不等式的技术讨论了平衡解的存在。计算结果是使用最先进的求解器执行的。由于这些求解器无法求解任何合理大小的网络,因此开发了专用的投影算法来解决该问题。数值结果表明了该算法在各种情况下的性能,从简单的网络开始,一直扩展到具有不同流量参数的合理大小的网络。结果表明,该求解过程为一般交通网络产生了良好的动态平衡解。

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