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.
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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