东南大学学报（英文版）Issue(3)：363-367,5.DOI:10.3969/j.issn.1003-7985.2014.03.020
弹性需求下随机用户均衡分配问题敏感性分析
Sensitivity analysis for stochastic user equilibrium with elastic demand assignment model
摘要
Abstract
This paper puts forward a rigorous approach for a sensitivity analysis of stochastic user equilibrium with the elastic demand SUEED model.First proof is given for the existence of derivatives of output variables with respect to the perturbation parameters for the SUEED model.Then by taking advantage of the gradient-based method for sensitivity analysis of a general nonlinear program detailed formulae are developed for calculating the derivatives of designed variables with respect to perturbation parameters at the equilibrium state of the SUEED model.This method is not only applicable for a sensitivity analysis of the logit-type SUEED problem but also for the probit-type SUEED problem.The application of the proposed method in a numerical example shows that the proposed method can be used to approximate the equilibrium link flow solutions for both logit-type SUEED and probit-type SUEED problems when small perturbations are introduced in the input parameters.关键词
网络建模/随机用户均衡/弹性需求/敏感性分析/一阶估计Key words
network modeling stochastic user equilibrium/elastic demand sensitivity analysis/first-order/approximation分类
交通工程引用本文复制引用
王建,吴鼎新,邓卫..弹性需求下随机用户均衡分配问题敏感性分析[J].东南大学学报（英文版）,2014,(3):363-367,5.基金项目
The Scientific Innovation Research of College Gradu-ates in Jiangsu Province No．CXLX13_110 the Young Scientists Fund of National Natural Science Foundation of China No．51408253 （）
