Please use this identifier to cite or link to this item: https://doi.org/10.1080/18128601003736026
Title: Mathematical models and computational algorithms for probit-based asymmetric stochastic user equilibrium problem with elastic demand
Authors: Meng, Q. 
Liu, Z.
Keywords: asymmetric link travel time functions
computational algorithm
elastic demand
probit-based stochastic user equilibrium
variational inequality
Issue Date: Jul-2012
Source: Meng, Q., Liu, Z. (2012-07). Mathematical models and computational algorithms for probit-based asymmetric stochastic user equilibrium problem with elastic demand. Transportmetrica 8 (4) : 261-290. ScholarBank@NUS Repository. https://doi.org/10.1080/18128601003736026
Abstract: This article addresses model development and computational algorithm design for the probit-based asymmetric stochastic user equilibrium (SUE) problem with elastic demand. Two variational inequality (VI) models are first proposed for the SUE problem and then existence and uniqueness of their solutions are examined. These two VI models are, in reality, built by means of a probit-based stochastic network loading (SNL) map. Since there is no computational procedure available for calculating the SNL map, we thus propose a two-stage Monte Carlo simulation-based method to estimate the SNL map. To compromise computational time with accuracy in the estimation, a lower bound of sample size required by the Monte Carlo simulation is also investigated. Based on these two VI models and Monte Carlo simulation-based method, we design two hybrid prediction-correction (PC) - cost averaging (CA) algorithms for solving the SUE problem. Finally, two numerical examples are carried out to assess performance of the proposed algorithms. © 2012 Copyright Taylor and Francis Group, LLC.
Source Title: Transportmetrica
URI: http://scholarbank.nus.edu.sg/handle/10635/59111
ISSN: 18128602
DOI: 10.1080/18128601003736026
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