# [1]程琳,纪魁,蒲自源,等.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.[doi:10.3969/j.issn.1001-0505.2013.01.040] 　Cheng Lin,Ji Kui,Pu Ziyuan,et al.Sensitivity analysis for link-based stochastic user equilibrium network flows[J].Journal of Southeast University (Natural Science Edition),2013,43(1):221-225.[doi:10.3969/j.issn.1001-0505.2013.01.040] 点击复制 路段型随机用户均衡敏感度分析() 分享到： var jiathis_config = { data_track_clickback: true };

43

2013年第1期

221-225

2013-01-20

## 文章信息/Info

Title:
Sensitivity analysis for link-based stochastic user equilibrium network flows

Author(s):
School of Transportation, Southeast University, Nanjing 210096, China

Keywords:

U491.1
DOI:
10.3969/j.issn.1001-0505.2013.01.040

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 inversed effectively.

## 参考文献/References:

[1] 陆化普,黄海军.交通规划理论研究前沿[M].北京:清华大学出版社,2007.
[2] Tobin R L, Friesz T L. Sensitivity analysis for equilibrium network flow [J]. Transportation Science, 1988, 22(4): 242-250.
[3] Ying J Q, Miyagi T. Sensitivity analysis for stochastic user equilibrium network flows—a dual approach [J]. Transportation Science, 2001, 35(2):124-133.
[4] Clark S D, Watling D P. Probit-based sensitivity analysis for general traffic network [J]. Journal of the Transportation Research Board, 2000, 1733:88-95.
[5] 程琳,王炜,王京元,等,用户均衡网络中的敏感度分析方法[J].系统工程理论与实践, 2004, 24(11):116-121.
Cheng Lin, Wang Wei, Wang Jingyuan, et al. Solution to sensitivity analysis for the equilibrium network flow [J]. Systems Engineering—Theory & Practice, 2004, 24(11):116-121.(in Chinese)
[6] Akamatsu T. Decomposition of path choice entropy in general transport network [J]. Transportation Science, 1997, 31(4): 349-362.
[7] Fiacco A V. Introduction to sensitivity and stability analysis in nonlinear programming [M]. New York: Academic Press, 1983.
[8] Lee D H, Meng Q, Deng W J. Origin-based partial linearization method for stochastic user equilibrium traffic assignment problem [J]. Journal of Transportation Engineering, 2010,136(1):52-60.
[9] Bell M G H. Alternatives to Dials logit assignment algorithm [J]. Transportation Research, 1995, 29(4): 287-295.
[10] Dial R B. A probabilistic multipath traffic assignment model which obviates path enumeration [J]. Transportation Research, 1971, 5(2): 83-111.

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