基于广义巢式Logit 的多用户多准则随机 用户平衡模型

介绍了广义巢式Logit 的基本理论，在此基础上，考虑具有不同时间价值的多种 用户类别出行者，构造了基于广义巢式Logit 的多用户多准则随机用户平衡的等价数学 规划模型，并对该模型的等价性和唯一性进行了证明.设计了求解所提出的随机用户平衡 模型的基于路径的相继平均法，通过一个算例验证了所设计算法的有效性. 分析了分散 系数变化对交通分配结果的影响，最后与多项式Logit 的分配结果进行对比.算例结果表 明，本文所提出的模型能够克服多项式Logit 模型的IIA 特性，设计的算法具有较高的求 解效率.

Multi-Class and Multi-Criteria Stochastic User Equilibrium Model Based on Generalized Nested Logit Model

This paper focuses on the multi-class, multi-criteria stochastic user equilibrium model based on the generalized nested logit model. The basic theory of generalized nested Logit model is introduced and the multi- class users with different value of times are considered. Then the equivalent mathematical programming model for the multi- class, multi- criteria stochastic user equilibrium model based on the generalized nested Logit model is set up and the equivalence and uniqueness conditions are proved. The path-based method of successive averages (MSA) algorithm is designed to solve the proposed mathematical programming model and the effectiveness of the proposed algorithm is verified in a numerical example. The influences of dispersion parameter with different values on the traffic assignment results are analyzed and the assignment result is compared with that of MNL model. The results of the numerical example show that the proposed model can overcome the IIA property of the MNL model and the proposed algorithm has high efficiency.