CTM-Based Optimal Signal Control Strategies in Urban Networks
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2017-06-02
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TRIS Online Accession Number:01658728
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Edition:Final Report March 1, 2015 to January 30, 2017
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NTL Classification:NTL-OPERATIONS AND TRAFFIC CONTROLS-Traffic Control Devices
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Abstract:This research introduces a novel analytical framework in deriving invariant averaged models for signalized intersections in urban networks, using the capability of the cell transmission model (CTM) to capture the detailed traffic dynamics such as the formation, propagation, and dissipation of congestion arising at network junctions. Generally, the CTM formulates the optimization problem as a mixed-integer-linear programming (MILP) problem, which introduce many binary variables for large-scale urban networks and is difficult to solve. The approach aims to derive invariant averaged models to eliminate the binary variables introduced by the traffic signals. For the purpose of simplicity, the approach emphasizes on a signalized linear junction connecting one upstream link with one downstream link. Using the Cell Transmission Model (CTM) simulation on a signalized ring road, we demonstrate that the invariant averaged model is a reasonable approximation to the original supply-demand model with binary signals. Due to the existence of merging behaviors, we introduce two new terms while deriving the averaged model: Effective Demand and Merging Priority. With these two new terms, we follow similar procedures as those in the linear junction, and derive the corresponding invariant averaged model for the merging junction. We further show that the derived averaged model for the signalized linear junction is just one special case of the one for the signalized merging junction with empty demand in one of the upstream links.
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