基于路径长度的Logit型随机用户均衡模型

为了克服传统路径选择模型内在的IID假设,将考虑路径长度的Logit模型(path-sizelogit,PSL)引入随机用户均衡模型,构建了基于PSL的SUE模型.通过数学证明该模型的解与随机用户平衡解的一致性,以及模型解的唯一性.基于PSL的SUE模型考虑了路径长度的因素,从而可部分消除由于传统Logit模型对误差项的IID假设而引起的IIA问题.设计了MSA算法作为模型的求解算法,对比分析了考虑路径长度的Logit型随机用户均衡模型和传统Logit型随机用户均衡模型的分配结果,结果表明,在SUE模型中采用PSL模型能够处理各个路径之间长度的差异性.

Path-size logit-based stochastic user equilibrium assignment model

Traditional logit model suffered from its implicit and unreasonable assumption,i.e.,independent and identical distribution(i.i.d).Motivated by this drawback,this paper develops a new logit-based stochastic user equilibrium(SUE) model.This model explicitly accounts for path size in route choice modeling,which can partly overcome the drawbacks of the traditional logit model.This path size logit(PSL) SUE model is formulated as a nonlinear programming,which can be solved by the method of successive average(MSA).Uniqueness and equivalence conditions of the proposed PSL-SUE model were also proved.Numerical examples are provided to demonstrate the effectiveness of the proposed model by comparing it with the traditional logit-based SUE model.Experiments show that the PSL-SUE model has potential to handle the path size problem.