# [1]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),2016,46(1):215-220.[doi:10.3969/j.issn.1001-0505.2016.01.035] 　Han Fei,Cheng Lin.Stochastic user equilibrium model and its algorithm considering tradable credit scheme[J].Journal of Southeast University (Natural Science Edition),2016,46(1):215-220.[doi:10.3969/j.issn.1001-0505.2016.01.035] 点击复制 考虑可交易路票策略的随机用户均衡模型及算法() 分享到： var jiathis_config = { data_track_clickback: true };

46

2016年第1期

215-220

2016-01-20

## 文章信息/Info

Title:
Stochastic user equilibrium model and its algorithm considering tradable credit scheme

Author(s):
School of Transportation, Southeast University, Nanjing 210096, China

Keywords:

U491
DOI:
10.3969/j.issn.1001-0505.2016.01.035

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 convergent Lagrangian dual method(LDM)was proposed to solve the models. The numerical example results show that the LDM has good convergence on different step size sequences and dispersion parameters, and the step size sequences have a significant impact at the convergence speed than the dispersion parameters.

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