A discrete rational adjustment process of link flows in traffic networks

被引：65
|
作者：
Guo, Ren-Yong [1 ]
Yang, Hai [2 ,3 ]
Huang, Hai-Jun [3 ]
机构：
[1] Inner Mongolia Univ, Coll Comp Sci, Hohhot 010021, Peoples R China
[2] Hong Kong Univ Sci & Technol, Dept Civil & Environm Engn, Kowloon, Hong Kong, Peoples R China
[3] Beihang Univ, Sch Econ & Management, Beijing 100191, Peoples R China
来源：
TRANSPORTATION RESEARCH PART C-EMERGING TECHNOLOGIES | 2013年 / 34卷
基金：
中国国家自然科学基金;
关键词：
Traffic dynamics; User equilibrium; System optimum; Convergence; TRAVELER INFORMATION-SYSTEMS; STOCHASTIC EQUILIBRIUM; DYNAMICAL-SYSTEMS; EVOLUTION PROCESS; USER EQUILIBRIUM; ASSIGNMENT; STABILITY; MODEL; EXISTENCE; OPTIMUM;
D O I：
10.1016/j.trc.2013.06.002
中图分类号：
U [交通运输];
学科分类号：
08 ; 0823 ;
摘要：
A discrete dynamical system model, called a discrete rational adjustment process (DRAP), is built upon link-based variables to characterize the process of achieving equilibrium from a non-equilibrium state in traffic networks. The equilibrium state can be in either a deterministic or a stochastic user equilibrium state. The DRAP is formulated in a general framework with either fixed or elastic demand. Several mathematical properties of the DRAP are presented, including the invariance of its evolutionary trajectory, the equivalence between its stationary state and user equilibrium, the uniqueness of its stationary state, and its convergence. Proper toll schemes can make the DRAP evolve towards a system optimum state. Numerical experiments are carried out to show application of the DRAP and its properties and the effectiveness of toll schemes. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码：121 / 137
页数：17
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