摘要
考虑交通网络中实现用户均衡态的过程,引入决策出行费用的概念,提出一个 ATIS 环境下的交通配流动态演化模型,模型中的 OD 需求是可变内生的.利用稳定性定理分析了该动态系统的稳定性,说明在一定条件下,系统的用户均衡态是稳定的.采用改进的欧拉法完成了模型的数值试验,结果表明该动态系统确实可以达到用户均衡态,同时也发现,某些模型参数的变化可能导致路径流量和 OD 费用演化轨迹的无规则摆动.
Considering the process of realizing user equilibrium （UE） state in traffic network, we propose a dynamical evolutionary model of traffic assignment problem under the Advanced Traveler Information Systems （ATIS） with endogenous origin-destination （OD） demands by introducing the concept of decisive travel cost. We investigate the stability of the dynamical system by using the stability theorem and show that the UE is stable under certain conditions. The model is solved by the modified Euler method and verified on two test networks. The numerical results indicate that the dynamical system model can generate convergent flow patterns which finally stop at the UE state and changing some model parameters may lead to the irregular oscillation of the evolutionary trajectories of route flows and OD costs.
出处
《管理科学学报》
CSSCI
北大核心
2008年第2期12-19,共8页
Journal of Management Sciences in China
基金
国家自然科学基金资助项目(70521001)
国家重大基础科学研究"973"计划资助课题(2006CB705503)
关键词
交通配流
用户均衡态
动态系统
稳定性
traffic assignment
user equilibrium state
dynamical system
stability
