A day-to-day route flow evolution process towards the mixed equilibria |
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| Institution: | 1. Department of Industrial and Systems Engineering, National University of Singapore, Engineering Drive 2, Singapore 117576, Singapore;2. National United Engineering Laboratory of Integrated and Intelligent Transportation, School of Transportation and Logistics, Southwest Jiaotong University, 111 the Second Ring Road North, Chengdu, Sichuan 610031, China;1. School of Economics and Management, Beihang University, Beijing 100191, China; and Key Lab of Complex System Analysis and Management Decision, Ministry of Education, China;2. Department of Civil and Environmental Engineering, The Hong Kong University of Science and Technology, Kowloon, Hong Kong, China;1. School of Business Administration, Southwestern University of Finance and Economics, 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. Institute for Transport Studies, University of Leeds, United Kingdom;1. School of Civil and Environmental Engineering, Georgia Institute of Technology, Atlanta, 30318, United States;2. H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, 30318, United States;3. School of Transportation, Southeast University, Nanjing, 211189, China |
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| Abstract: | This study investigates a travelers’ day-to-day route flow evolution process under a predefined market penetration of advanced traveler information system (ATIS). It is assumed that some travelers equipped with ATIS will follow the deterministic user equilibrium route choice behavior due to the complete traffic information provided by ATIS, while the other travelers unequipped with ATIS will follow the stochastic user equilibrium route choice behavior. The interaction between these two groups of travelers will result in a mixed equilibrium state. We first propose a discrete day-to-day route flow adjustment process for this mixed equilibrium behavior by specifying the travelers’ route adjustment principle and adjustment ratio. The convergence of the proposed day-to-day flow dynamic model to the mixed equilibrium state is then rigorously demonstrated under certain assumptions upon route adjustment principle and adjustment ratio. In addition, without affecting the convergence of the proposed day-to-day flow dynamic model, the assumption concerning the adjustment ratio is further relaxed, thus making the proposed model more appealing in practice. Finally, numerical experiments are conducted to illustrate and evaluate the performance of the proposed day-to-day flow dynamic model. |
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| Keywords: | Discrete day-to-day flow dynamic model Route flow evolution process Mixed equilibrium state Goldstein rule |
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