东南大学学报(自然科学版)Issue(1):215-220,6.DOI:10.3969/j.issn.1001-0505.2016.01.035
考虑可交易路票策略的随机用户均衡模型及算法
Stochastic user equilibrium model and its algorithm considering tradable credit scheme
摘要
Abstract
In order to compensate the deficiency that the travelers are assumed to know the accurate route costs in previous credit equilibrium models, the stochastic user equilibrium ( SUE) assignment with tradable credit scheme ( TCS) was investigated.First, the equilibrium conditions of network flows and the credit market were presented to describe the equilibrium state of transportation network on a given TCS.Then an equivalent general SUE model with TCS was established based on the mathematical properties of two constructed functions.Under the assumption that travelers'perception errors are Gumbel distributed, the general SUE model with TCS was simplified to the Logit-based SUE model with TCS, and a sufficient condition for unique equilibrium credit price was provided. Since the traditional method of successive averaging ( MSA) was not feasible, an efficiently conver-gent Lagrangian dual method ( LDM) was proposed to solve the models.The numerical example re-sults show that the LDM has good convergence on different step size sequences and dispersion pa-rameters , and the step size sequences have a significant impact at the convergence speed than the dis-persion parameters.关键词
可交易路票策略/随机用户均衡/路票价格/拉格朗日对偶算法Key words
tradable credit scheme/stochastic user equilibrium/credit price/Lagrangian dual method分类
交通工程引用本文复制引用
韩飞,程琳..考虑可交易路票策略的随机用户均衡模型及算法[J].东南大学学报(自然科学版),2016,(1):215-220,6.基金项目
国家自然科学基金资助项目(51178110,51378119)、江苏省研究生创新基金资助项目(KYLX 0178). ()