標題: Day-to-day vehicular flow dynamics in intelligent transportation network
作者: Cho, HJ
Hwang, MC
運輸與物流管理系 註:原交通所+運管所
Department of Transportation and Logistics Management
關鍵字: day-to-day network dynamics;nonlinear dynamical system;Lyapunov function;dynamic traffic assignment
公開日期: 1-二月-2005
摘要: In this paper, a flow evolution model is developed by using the dynamical system approach for a vehicular network equipped with predicted travel information. The concerned system variables, path flow, and predicted minimal travel time of an origin-destination (OD) pair, are measured on the peak-hour-average base for each day. The time change rates of these two variables are formulated as a system of ordinary differential equations under the assumption of daily learning and adaptive processes for commuters. By incorporating the total perceived travel time loss (or saving) into the proposed models, time change rates of path flows are generated with a flow-related manner to prevent path flow dynamics from being insensible to traffic congestion which had been formulated in the existing studies. Heterogeneous models with various user adjusting sensitivities and predicted travel information are also presented. Equilibrium solutions of the proposed network dynamics satisfy the Wardrop user equilibria and are proved to be asymptotically stable by using the stability theorem of Lyapunov. The issue of existence and uniqueness of solutions is proved both on the lemma of Lipschitz condition and the fundamental theorem of ordinary differential equations. In addition, some simple examples are demonstrated to show the asymptotic behaviors of the proposed models numerically. (c) 2005 Elsevier Ltd. All rights reserved.
URI: http://dx.doi.org/10.1016/j.mcm.2004.03.005
http://hdl.handle.net/11536/23600
ISSN: 0895-7177
DOI: 10.1016/j.mcm.2004.03.005
期刊: MATHEMATICAL AND COMPUTER MODELLING
Volume: 41
Issue: 4-5
起始頁: 501
結束頁: 522
顯示於類別:期刊論文


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