Joint implementation of tradable credit and road pricing in public-private partnership networks considering mixed equilibrium behaviors |
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Institution: | 1. University of Castilla-La Mancha, Department of Mathematics, Albacete, Spain;2. Technical University of Denmark, Department of Management Engineering, Lyngby, Denmark;3. University of Valencia, Department of Statistics and Operations Research, Burjassot, Valencia, Spain;1. School of Transportation Management, Dalian Maritime University, China 1 Linghai Road, Dalian 116026, PR China;2. Collaborative Innovation Center for Transport Studies, Dalian Maritime University, China 1 Linghai Road, Dalian 116026, PR China;1. Department of Industrial and Systems Engineering, National University of Singapore, Singapore;2. Department of Civil and Environmental Engineering, Northwestern University, Evanston, Illinois, United States;3. Department of Economics and School of Public Policy and Governance, University of Toronto, Toronto, Canada;1. Key Laboratory of Road and Traffic Engineering of the Ministry of Education, Tongji University, Shanghai 200092, China;2. School of Economics and Management, Tongji University, Shanghai 200092, China;3. Department of Civil and Environmental Engineering, University of California Davis, Davis, CA 95616, United States |
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Abstract: | This paper investigates joint road charging schemes in a public-private partnership (PPP) network by simultaneously taking into account Cournot-Nash (CN) players and user equilibrium (UE) players. Each joint scheme comprises a tradable credit plan for public roads and a regular tolling plan for private roads. We show that, under UE-CN mixed equilibrium, there exist anonymous nonnegative joint schemes that can support a system optimum link flow pattern. By using preemptive approach, we further design three bi-objective optimization models with hybrid implementation of tradable credit and road pricing. Numerical examples demonstrate that the proposed methods are effective in managing PPP networks. |
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Keywords: | Joint road charging scheme Tradable credit UE-CN mixed equilibrium Bi-objective optimization PPP network |
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