Please use this identifier to cite or link to this item: https://doi.org/10.1111/j.1467-8667.2007.00530.x
Title: Sensitivity analysis of logit-based stochastic user equilibrium network flows with entry-exit toll schemes
Authors: Meng, Q. 
Wang, X.
Issue Date: Feb-2008
Source: Meng, Q.,Wang, X. (2008-02). Sensitivity analysis of logit-based stochastic user equilibrium network flows with entry-exit toll schemes. Computer-Aided Civil and Infrastructure Engineering 23 (2) : 138-156. ScholarBank@NUS Repository. https://doi.org/10.1111/j.1467-8667.2007.00530.x
Abstract: This article addresses sensitivity analysis of logit-based stochastic user equilibrium (SUE) network flows on transportation networks with entry-exit toll schemes. These schemes have a technical challenge that the generalized travel time including tolls on a path is nonadditive. First, it shows that the perturbed logit-based network flows-link and entry-exit flows-are implicit but continuously differentiable functions with respect to the perturbation parameters arising from link travel time functions, origin-destination demands, and entry-exit tolls. Second, this article derives elegant analytical expressions of gradients of perturbed logit-based SUE network flows, and elaborates that these gradients can be calculated by the two-stage stochastic network loading algorithm, which obviates the need for path enumeration. Finally, two numerical examples are presented to demonstrate the calculation process and computational capability. © 2008 Computer-Aided Civil and Infrastructure Engineering.
Source Title: Computer-Aided Civil and Infrastructure Engineering
URI: http://scholarbank.nus.edu.sg/handle/10635/50733
ISSN: 10939687
DOI: 10.1111/j.1467-8667.2007.00530.x
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