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路段型随机用户均衡敏感度分析

程琳 纪魁 蒲自源 王悦

东南大学学报(自然科学版)2013,Vol.43Issue(1):221-225,5.
东南大学学报(自然科学版)2013,Vol.43Issue(1):221-225,5.DOI:10.3969/j.issn.1001-0505.2013.01.040

路段型随机用户均衡敏感度分析

Sensitivity analysis for link-based stochastic user equilibrium network flows

程琳 1纪魁 1蒲自源 1王悦1

作者信息

  • 1. 东南大学交通学院,南京210096
  • 折叠

摘要

Abstract

In order to explore an efficient algorithm for the Logit-based stochastic user equilibrium (SUE) problem, the conventional entropy of the SUE model was decomposed to get the link-based SUE model. In this paper, based on analysis of the Link-based SUE model and its optimizing conditions, a mathematical programming method of sensitivity analysis for the model is presented. The method is more likely to be accepted relative to the variational inequality method. Since user equilibrium in a traffic network is an extreme case of SUE, the method can be used for the Wardropian equilibrium also. Numerical examples are solved by the method of successive averages algorithm and the sensitivity matrixes, both results are consistent. The "segmented solution" method is given to deal with the rank defect, solving the phenomena of the matrixes which can't be in-versed effectively.

关键词

路段型随机用户均衡模型/敏感度分析/数学规划/Logit

Key words

link-based stochastic user equilibrium/ sensitivity analysis/ mathematical programming/ Logit

分类

交通工程

引用本文复制引用

程琳,纪魁,蒲自源,王悦..路段型随机用户均衡敏感度分析[J].东南大学学报(自然科学版),2013,43(1):221-225,5.

基金项目

国家自然科学基金资助项目(51078085,51178110). (51078085,51178110)

东南大学学报(自然科学版)

OA北大核心CSCDCSTPCD

1001-0505

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