中国物理B ›› 2007, Vol. 16 ›› Issue (6): 1608-1614.doi: 10.1088/1009-1963/16/6/020

• GENERAL • 上一篇    下一篇

Behaviours in a dynamical model of traffic assignment with elastic demand

徐猛, 高自友   

  1. School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, China
  • 收稿日期:2006-09-15 修回日期:2006-10-16 出版日期:2007-06-20 发布日期:2007-06-20
  • 基金资助:
    Project supported by the National Basic Research Program of China (Project No 2006CB705500), the National Natural Science Foundation of China (Grant No 70471088), and Science and Technology Foundation of Beijing Jiaotong University (Grant No 2006RC018).

Behaviours in a dynamical model of traffic assignment with elastic demand

Xu Meng(徐猛)† and Gao Zi-You(高自友)   

  1. School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, China
  • Received:2006-09-15 Revised:2006-10-16 Online:2007-06-20 Published:2007-06-20
  • Supported by:
    Project supported by the National Basic Research Program of China (Project No 2006CB705500), the National Natural Science Foundation of China (Grant No 70471088), and Science and Technology Foundation of Beijing Jiaotong University (Grant No 2006RC018).

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摘要： This paper investigates the dynamical behaviour of network traffic flow. Assume that trip rates may be influenced by the level of service on the network and travellers are willing to take a faster route. A discrete dynamical model for the day-to-day adjustment process of route choice is presented. The model is then applied to a simple network for analysing the day-to-day behaviours of network flow. It finds that equilibrium is arrived if network flow consists of travellers not very sensitive to the differences of travel cost. Oscillations and chaos of network traffic flow are also found when travellers are sensitive to the travel cost and travel demand in a simple network.

Abstract: This paper investigates the dynamical behaviour of network traffic flow. Assume that trip rates may be influenced by the level of service on the network and travellers are willing to take a faster route. A discrete dynamical model for the day-to-day adjustment process of route choice is presented. The model is then applied to a simple network for analysing the day-to-day behaviours of network flow. It finds that equilibrium is arrived if network flow consists of travellers not very sensitive to the differences of travel cost. Oscillations and chaos of network traffic flow are also found when travellers are sensitive to the travel cost and travel demand in a simple network.

Key words: discrete dynamical system, network traffic flow, traffic assignment problem, chaos

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a