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Optimal joint distance and time toll for cordon-based congestion pricing
Institution:1. Institute of Transport Studies, Department of Civil Engineering, Monash University, Clayton, Victoria 3800, Australia;2. Strome College of Business, Old Dominion University, Norfolk, VA 23529, USA;3. Department of Civil and Environmental Engineering, National University of Singapore, Singapore 117576, Singapore;1. Civil and Coastal Engineering, University of Florida, Gainesville, FL 32611, United States;2. Civil Engineering, Sharif University of Technology, Tehran, Iran;3. Industrial and Systems Engineering, University of Florida, Gainesville, FL 32611, United States;1. School of Management, Huazhong University of Science and Technology, Luoyu Road 1037, Wuhan, PR China;2. Department of Civil and Environmental Engineering, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China;3. College of Computer Science, Inner Mongolia University, Hohhot 010021, PR China;1. School of Transportation, Southeast University, Nanjing 210096, China;2. Institute of Transport and Logistics Studies, The University of Sydney, Sydney, Australia;3. Department of Civil and Environmental Engineering, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China;1. School of Civil and Environmental Engineering, University of New South Wales, NSW 2052, Australia;2. Institute of Transport Studies, Department of Civil Engineering, Monash University, VIC 3800, Australia;3. Jiangsu Key Laboratory of Urban ITS, Jiangsu Province Collaborative Innovation Center of Modern Urban Traffic Technologies, School of Transportation, Southeast University, Nanjing 210096, China
Abstract:This paper addresses the optimal toll design problem for the cordon-based congestion pricing scheme, where both a time-toll and a nonlinear distance-toll (i.e., joint distance and time toll) are levied for each network user’s trip in a pricing cordon. The users’ route choice behaviour is assumed to follow the Logit-based stochastic user equilibrium (SUE). We first propose a link-based convex programming model for the Logit-based SUE problem with a joint distance and time toll pattern. A mathematical program with equilibrium constraints (MPEC) is developed to formulate the optimal joint distance and time toll design problem. The developed MPEC model is equivalently transformed into a semi-infinite programming (SIP) model. A global optimization method named Incremental Constraint Method (ICM) is designed for solving the SIP model. Finally, two numerical examples are used to assess the proposed methodology.
Keywords:Nonlinear distance pricing  Cordon-based pricing  Stochastic system optimum  Mathematical program with equilibrium constraints  Tangent plane approximation method
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