Abstract
Throughout the past three decades, various versions of the the cell-transmission model (CTM) has been proposed. In spite of the increased attention to freeway traffic modelling via the CTM, an analysis of the currently available versions of the CTM has been missing. This study has the aim of filling this gap by comparing the performance of the popular versions of this model. To achieve this goal, four finite horizon optimal control problems with different underlying CTMs and cost functions are proposed. The traffic management control in all problems is the ramp metering control. The performance assessment is performed via simulation for a hypothetical network of highways, with different demand profiles along with the analysis of the equilibrium state in each case. The simulation results will provide a thorough comparison of the performance of these problems on different performance measures of the network and will highlight the advantages and disadvantages of each problem.
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