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### 考虑动态双参考点的多用户网络均衡与演化

1. 福州大学经济与管理学院, 福州 350116
• 收稿日期:2021-01-08 修回日期:2022-06-15 发布日期:2022-12-13
• 基金资助:
福建省自然科学基金重点项目(2022J02014)资助课题.

Jiang Xiaolan, Tian Lijun. Multi-User Network Equilibrium and Evolution Based on Two Dynamic Reference Points[J]. Journal of Systems Science and Mathematical Sciences, 2022, 42(11): 2928-2941.

### Multi-User Network Equilibrium and Evolution Based on Two Dynamic Reference Points

Jiang Xiaolan, Tian Lijun

1. School of Economic and Management, Fuzhou University, Fuzhou 350116
• Received:2021-01-08 Revised:2022-06-15 Published:2022-12-13

In uncertain traffic network, commuters' risk attitude and reference-dependent behaviors play an important role in the day-to-day route choice process. Under the framework of cumulative prospect theory, this paper introduces a trial-and-error dynamic congestion pricing scheme, and separates the time and toll into two dimensions. It further assumes that the individuals' daily time reference points are related to their risk attitude and perceived travel time, and the daily toll reference points are dependent on their value of time and saved travel time, and all of them dynamically varies with the day-to-day perceived travel time. With this setting, a dynamic user equilibrium model is proposed with consideration of two reference points, i.e., time reference point and toll reference point. The results indicate that the path flows and congestion tolls all could reach to the equilibrium state after a period of evolution, and the congestion tolls can help to control the link flow in a certain range and thus reduce the commuters' average travel time. Furthermore, it finds that the users with lower value of time are inclined to choose the routes with lower toll and higher travel time, and the users with higher value of time prefer to the routes with higher toll and lower travel time, and this trend is more obvious for a higher gain or loss sensitivity or prospect value weight with respect to time and cost.

MR(2010)主题分类:

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