Sequential optimization approach for the multi-class user equilibrium problem in a continuous transportation system

2004 ◽  
Vol 38 (3) ◽  
pp. 323-345 ◽  
Author(s):  
H. W. Ho ◽  
S. C. Wong ◽  
Becky P. Y. Loo
Keyword(s):  
Equilibrium Problem ◽  
Transportation System ◽  
User Equilibrium ◽  
Sequential Optimization ◽  
Optimization Approach

scholarly journals Improving Truncated Newton Method for the Logit-Based Stochastic User Equilibrium Problem

2019 ◽  
Vol 2019 ◽  
pp. 1-15 ◽  
Author(s):  
Min Xu ◽  
Bojian Zhou ◽  
Jie He
Keyword(s):  
Equilibrium Problem ◽  
Newton Method ◽  
Computational Efficiency ◽  
Initial Point ◽  
User Equilibrium ◽  
Point Of View ◽  
Theoretical Point ◽  
Stochastic User Equilibrium ◽  
Truncated Newton Method ◽  
Truncated Newton

This study proposes an improved truncated Newton (ITN) method for the logit-based stochastic user equilibrium problem. The ITN method incorporates a preprocessing procedure to the traditional truncated Newton method so that a good initial point is generated, on the basis of which a useful principle is developed for the choice of the basic variables. We discuss the rationale of both improvements from a theoretical point of view and demonstrate that they can enhance the computational efficiency in the early and late iteration stages, respectively, when solving the logit-based stochastic user equilibrium problem. The ITN method is compared with other related methods in the literature. Numerical results show that the ITN method performs favorably over these methods.

Modeling absolute and relative cost differences in stochastic user equilibrium problem

2015 ◽  
Vol 81 ◽  
pp. 686-703 ◽  
Author(s):  
Xiangdong Xu ◽  
Anthony Chen ◽  
Songyot Kitthamkesorn ◽  
Hai Yang ◽  
Hong K. Lo
Keyword(s):  
Equilibrium Problem ◽  
User Equilibrium ◽  
Stochastic User Equilibrium ◽  
Relative Cost ◽  
Cost Differences
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