Multimodal stochastic user equilibrium model based on nested Logit(PDF)
长安大学学报（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]
- Issue:
- 2018年05期
- Page:
- 114-122
- Research Field:
- 交通工程
- Publishing date:
Info
- Title:
- Multimodal stochastic user equilibrium model based on nested Logit
- Author(s):
- LIU Shixu1; CHI Qiyuan2; YAN Hao1; GUO Lidan1; TANG Yingnuo1; YAN Hai3
-
- Keywords:
- traffic engineering; stochastic user equilibrium; Logit model; multimodal network; route choice behavior
- PACS:
- -
- DOI:
- -
- Abstract:
- In order to improve the current urban traffic assignment models, a multimodal stochastic user equilibrium model based on nested Logit was proposed, considering the behaviors of mode choice and route choice. Firstly, in a multimodal traffic network, a nested Logit model was proposed to describe the behavior of the combined traffic mode and route choice, according to the two steps of a travelers travel decision (he or she chooses an appropriate traffic mode and then chooses a route in the traffic network). In the proposed nested Logit model, the utility and traffic flow distribution were mutually restricted, the utility of the travel was influenced by the network traffic flow, and the traffic flow was determined by the utility, thus leading to equilibrium. Therefore, a mathematical programming model for finding the equilibrium solution was developed in this study. It was proved that the optimal solution of the mathematical programming model and the flow solution of the nested Logit model were equivalent. It was further proved that both the objective function of the equivalent mathematical programming model and the constraint set were convex. Therefore, the equivalent mathematical programming model was a convex programming problem, and the solution of the model was unique. Subsequently, the step of improved the direction search algorithm was given to solve the proposed multimodal stochastic user equilibrium assignment model based on nested Logit. Finally, a case study of a grid network with two modes, namely bus and car, was carried out to analyze the impact of bus fare, travelers time value, and the interlayer ratio parameter of the nested Logit model on traffic assignment results. The results show that the changes in bus fare have little effect on the traffic assignment results, and that bus demand decreases with increase in travelers time value. When the travelers time value is low, the bus demand increases with increase in the interlayer ratio parameter of the nested Logit model, whereas when the travelers time value is high, the bus demand decreases with increase in the interlayer ratio parameter of the nested Logit model. 2 tabs, 7 figs, 20 refs.
Last Update: 2018-10-23