A general stochastic process for day-to-day dynamic traffic assignment: Formulation, asymptotic behaviour, and stability analysis
Giulio E. Cantarella and
David P. Watling
Transportation Research Part B: Methodological, 2016, vol. 92, issue PA, 3-21
Abstract:
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.
Keywords: Day-to-day dynamics; Stochastic process models; Mean process; Deterministic process models; Stability analysis (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:transb:v:92:y:2016:i:pa:p:3-21
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DOI: 10.1016/j.trb.2016.05.005
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