Continuum modelling of spatial and dynamic equilibrium in a travel corridor with heterogeneous commuters—A partial differential complementarity system approach |
| |
| Institution: | 1. Department of Computer Science, City University of Hong Kong, Hong Kong;2. Tencent AI Lab, China;3. South China University of Technology, China;4. School of Information Science and Technology, University of Science and Technology of China, China;5. Electrical Engineering and Computer Science, University of California at Merced, United States;1. State Key Laboratory of Multiphase Flow in Power Engineering, School of Chemical Engineering and Technology, Xi''an Jiaotong University, Xi''an 710049, Shaanxi, People''s Republic of China;2. Key Laboratory of Low-grade Energy Utilization Technologies and Systems of Ministry of Education of China, College of Power Engineering, Chongqing University, Chongqing 400044, People''s Republic of China;3. School of Mechanical Engineering, Beijing Institute of Petrochemical Technology, Beijing 102617, People''s Republic of China |
| |
| Abstract: | This paper studies on modelling and solving spatial and dynamic equilibrium travel pattern in a travel corridor. Consider a travel corridor connecting continuously distributed commuters to the city centre. The traffic is subject to flow congestion and the commuter heterogeneity is captured. The traffic flow dynamics is described by flow continuity equation and the equilibrium travel pattern is assumed to follow trip-timing condition. The continuous spatial and dynamic equilibrium travel pattern is formulated into a partial differential complementarity system, which is then solved through Godunov scheme. The proof of solution existence is provided, and a set of numerical experiments are demonstrated. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
