A general stochastic process for day-to-day dynamic traffic assignment: Formulation, asymptotic behaviour, and stability analysis

作者：Cantarella Giulio E; Watling David P

来源：Transportation Research Part B: Methodological , 2016, 92: 3-21.

DOI：10.1016/j.trb.2016.05.005

• Day-to-day dynamics
• Stochastic process models
• Mean process
• Deterministic process models
• Stability analysis

This paper presents a general modelling approach to day-to-day dynamic assignment to a congested network through discrete-time stochastic and deterministic process models including an explicit modelling of users' habit as a part of route choice behaviour, through an exponential smoothing filter, and of their memory of network conditions on past days, through a moving average or an exponentially smoothing filter. An asymptotic analysis of the mean process is carried out to provide a better insight. Results of such analyses are also used for deriving conditions, about values of the system parameters, assuring that the mean process is dissipative and/or converges to some kind of attractor. Numerical small examples are also provided in order to illustrate the theoretical results obtained.

• 出版日期2016-10