An origin–destination based road pricing model for static and multi-period traffic assignment problems |
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Institution: | 1. Control Systems Technology section, Eindhoven University of Technology, the Netherlands;2. Computational Optimisation group, Department of Computing, Imperial College London, United Kingdom;3. Department of Mathematics, Duke University, NC, United States;1. Key Laboratory of Road and Traffic Engineering, Tongji University, Shanghai, China;2. Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University, Kowloon, Hong Kong;3. School of Transportation, Southeast University, Nanjing, China;1. Intelligent Transport Systems Lab, Swinburne University of Technology, Melbourne, Australia;2. Institute of Transport Studies, Monash University, Australia;3. The Hong Kong University of Science and Technology, Hong Kong |
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Abstract: | To mitigate traffic externalities, we propose an origin–destination (OD) based road pricing model for traffic assignment problems. For elastic demand, we derive explicit optimal tolls for the OD-based pricing scheme. We also extend the model to a multi-period static traffic assignment (MSTA) where we derive analytically the route and OD-dependent tolls based on equilibrium conditions. We present some examples to show that the OD-based tolling scheme could improve the system welfare significantly, compared to the no-toll scenario (user equilibrium – UE). |
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Keywords: | Origin–destination based pricing Route-based pricing KKT-optimality condition Variational inequality Multi-period static traffic assignment |
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