An optimization modeling of coordinated traffic signal control based on the variational theory and its stochastic extension
An optimization modeling of coordinated traffic signal control based on the variational theory and its stochastic extension
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基于变分理论及其随机可拓的交通信号协调控制优化模型
DOI：
10.1016/j.trb.2017.08.031
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发表时间：
2018
期刊：
影响因子：
--
通讯作者：
Kuwahara Masao
中科院分区：
文献类型：
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作者：
Wada Kentaro;Usui Kento;Takigawa Tsubasa;Kuwahara Masao
本研究考虑了确定性和随机性需求下的最佳协调交通信号控制。我们首先提出了一种用于确定性信号优化的新混合整数线性规划（MILP），其中基于变分理论对交通流进行建模，并对信号控制模式的约束进行线性表述。与现有公式相比，所得的 MILP 具有清晰的网络结构，并且需要更少的二元变量和约束。然后我们扩展问题以处理交通需求的随机波动。我们在这里开发了一种准确有效的预期延迟近似方法，以及通过利用问题的网络结构来解决信号优化的随机版本的方法。使用一组提出的方法，我们最终检查了确定性和随机协调信号控制的最优控制参数并讨论了它们的特性。
This study considers an optimal coordinated traffic signal control under both deterministic and stochastic demands. We first present a new mixed integer linear programming (MILP) for the deterministic signal optimization wherein traffic flow is modeled based on the variational theory and the constraints on a signal control pattern are linearly formulated. The resulting MILP has a clear network structure and requires fewer binary variables and constraints as compared with those in the existing formulations. We then extend the problem so as to treat the stochastic fluctuations in traffic demand. We here develop an accurate and efficient approximation method of expected delays and a solution method for the stochastic version of the signal optimization by exploiting the network structure of the problem. Using a set of proposed methods, we finally examine the optimal control parameters for deterministic and stochastic coordinated signal controls and discuss their characteristics.