Solving the logit-based stochastic user equilibrium problem with elastic demand based on the extended traffic network model

2014 ◽  
Vol 239 (1) ◽  
pp. 112-118 ◽  
Author(s):  
Qian Yu ◽  
Debin Fang ◽  
Wei Du
Keyword(s):  
Equilibrium Problem ◽  
Network Model ◽  
User Equilibrium ◽  
Traffic Network ◽  
Elastic Demand ◽  
Stochastic User Equilibrium

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.

scholarly journals Stochastic Electric Vehicle Network with Elastic Demand and Environmental Costs

2020 ◽  
Vol 2020 ◽  
pp. 1-11 ◽  
Author(s):  
Jie Ma ◽  
Hua Wang ◽  
Tianpei Tang
Keyword(s):  
Large Scale ◽  
Transportation Network ◽  
Urban Transportation ◽  
User Equilibrium ◽  
Environmental Costs ◽  
Elastic Demand ◽  
Stochastic User Equilibrium ◽  
Travel Costs ◽  
Large Scale Network ◽  
Scale Network

Along with the increasing number of the electric vehicles (EVs), an urban transportation network with a large number of EVs will come true in the near future. Since many countries encourage EVs due to their environmental-friendly benefits, the environmental costs of vehicles have attracted much attention in recent years. In this paper, besides the environmental costs, we take into account the issues of the stochastic user equilibrium (SUE), the elastic demand (ED), and the driving range of EVs in the network. We propose an SUE with ED (SUEED) problem to consider these issues in the urban transportation network with EVs. An SUEED model is developed. We also propose a method of successive average (MSA) to solve the SUEED problem. The computational feasibility of the algorithm is tested in a large-scale network. Through a comparison analysis, we show the benefits of introducing EVs into the urban transportation network in the SUEED circumstance. Moreover, a sensitivity analysis is conducted to reveal the potential values of EVs against the development of EVs. The results suggest that EVs may help to reduce both the travelers’ travel costs and the environmental costs of the entire network.

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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