Behaviours in a dynamical model of traffic assignment with elastic demand

• 来源期刊: 中国物理（英文版）
• 关键词: discrete dynamical system network traffic flow traffic assignment problem chaos
• 年，卷（期）: 2007,（6）
• 页码范围: 1608-1614
• 页数: 7页
• 语种: 英文

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 travelers 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.