@inproceedings{59c138b3ccd94665994d96e98e89613c,
title = "A Lagrangian-Based Approach for Reliable User Equilibrium Considering Link Travel Time Variance",
abstract = "The classical user equilibrium problem is to achieve a state that no traveler can improve his/her travel time by unilaterally changing routes. One of the most important assumptions of the travel behaviors in user equilibrium is that travelers will choose the shortest path. However, in a realistic transport network, the link travel cost is not always a constant, but a mean value with a corresponding standard deviation, resulting in a novel reliable user equilibrium problem. In this problem, the auxiliary variable in the convex combinations method for solving user equilibrium problem should be obtained by finding the reliable shortest path instead of all-or-nothing assignment. The most reliable path algorithm can avoid the neglect to stability of path travel time by including the variance that cannot be avoided by all-or-nothing assignment. The proposed algorithms are evaluated under Sioux-Falls-Network.",
author = "Xue Xie and Qixiu Cheng and Aya Selmoune and Bin Lu and Zhiyuan Liu",
note = "Funding Information: This study is supported by the Youth Program (No. 71501038), Key Projects (No. 51638004) of the National Natural Science Foundation of China, and the Natural Science Foundation of Jiangsu Province in China (BK20150603). Publisher Copyright: {\textcopyright} 2018 American Society of Civil Engineers.; 18th COTA International Conference of Transportation Professionals: Intelligence, Connectivity, and Mobility, CICTP 2018 ; Conference date: 05-07-2018 Through 08-07-2018",
year = "2018",
month = jul,
doi = "10.1061/9780784481523.252",
language = "English",
series = "CICTP 2018: Intelligence, Connectivity, and Mobility - Proceedings of the 18th COTA International Conference of Transportation Professionals",
publisher = "American Society of Civil Engineers (ASCE)",
pages = "2544--2553",
editor = "Xiaokun Wang and Yu Zhang and Diange Yang and Zheng You",
booktitle = "CICTP 2018",
address = "United States",
}