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
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/LogitKey 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)