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Chinese Physics, 2007, Vol. 16(6): 1608-1614    DOI: 10.1088/1009-1963/16/6/020
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Behaviours in a dynamical model of traffic assignment with elastic demand

Xu Meng(徐猛) and Gao Zi-You(高自友)
School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, China
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.
Keywords:  discrete dynamical system      network traffic flow      traffic assignment problem      chaos  
Received:  15 September 2006      Revised:  16 October 2006      Accepted manuscript online: 
PACS:  05.45.-a (Nonlinear dynamics and chaos)  
Fund: 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).

Cite this article: 

Xu Meng(徐猛) and Gao Zi-You(高自友) Behaviours in a dynamical model of traffic assignment with elastic demand 2007 Chinese Physics 16 1608

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