Chapter
Jul 2, 2019
A Multiple Path Gradient Projection Method for Solving the Logit-Based Stochastic User Equilibrium Problem
Authors: Heqing Tan [email protected], Muqing Du [email protected], and Chun-Bin Yu [email protected]Author Affiliations
Publication: CICTP 2019
Abstract
This paper proposes a path-based algorithm to solve the well-known logit-based stochastic user equilibrium (SUE) problem. The new algorithm is developed on the basis of the gradient projection (GP) method, while a multiple path gradient approach is derived to generate the descent direction in consideration of many paths existing in every single origin-destination (O-D) pair. To apply the path-based algorithm, the SUE problem will be reformulated as a variational inequality (VI) formulation, and a working path set is predetermined. The numerical experiments will be conducted on the Winnipeg network where a large population of paths are provided. The results will show the multiple path gradient projection algorithm outperforms the original GP method.
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© 2019 American Society of Civil Engineers.
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Published online: Jul 2, 2019
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College of Civil and Transportation Engineering, Hohai Univ., 1 Xikang Rd., Nanjing JS 210098, China. E-mail: [email protected]
College of Civil and Transportation Engineering, Hohai Univ., 1 Xikang Rd., Nanjing JS 210098, China. E-mail: [email protected]
College of Civil and Transportation Engineering, Hohai Univ., 1 Xikang Rd., Nanjing JS 210098, China. E-mail: [email protected]
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