摘要
在多用户多模式的交通网络中,采用考虑成对方案间相关性的成对组合Logit模型,建立了路径选择满足Wardrop原则,模式选择满足Logit模型的随机用户均衡模型,构造了时间价值不同的多种用户类别下,不同模式间路段阻抗函数满足对称条件时与之等价的数学规划问题,并证明了所构建的数学规划问题与基于成对组合Logit的多用户多模式随机用户均衡条件的等价性,进一步证明了模型最优解的存在性和唯一性条件.最后用一个简单算例表明了所构建的模型的正确性和可行性.
In a multi-user multi-mode transportation network, a stochastic user equilibrium is established based on a paired combinatorial Logit model, which overcomes the shortcoming of independent and iden- tically distributed of Logit model, under the hypothesis that its paths selection satisfy Wardrop principle and its mode selection satisfy Logit models. Construct an equivalent mathematical programming problem to show the mixed equilibrium status, under the hypothesis that many categories of users exist in the network whose value of time are different and different modes have symmetry effects on each other. Then prove the equivalence of the mathematical programming problem and the equilibrium conditions and also the existence and uniqueness of the optimum solution. A simple illustration is last used to prove thecorrectness and feasibility of the model.
出处
《系统工程理论与实践》
EI
CSSCI
CSCD
北大核心
2013年第5期1318-1326,共9页
Systems Engineering-Theory & Practice
基金
国家自然科学基金(61273042)
上海市教委科研创新项目(12ZZ147)
关键词
交通工程
随机用户均衡
等价优化
多用户多模式
成对组合Logit
traffic engineering
stochastic user equilibrium
equivalent optimization
multi-user multi-mode
paired combinatorial Logit
