Exactly Solvable Stochastic Processes for Traffic Modelling

Maxim Samsonov 1 Cyril Furtlehner 1 Jean-Marc Lasgouttes 2
1 TAO - Machine Learning and Optimisation
LRI - Laboratoire de Recherche en Informatique, UP11 - Université Paris-Sud - Paris 11, Inria Saclay - Ile de France, CNRS - Centre National de la Recherche Scientifique : UMR8623
Abstract : We investigate different available methods in the study of exactly solvable stochastic models and their application to the construction of models with acceleration/deceleration dynamics relevant to the road traffic modelling. We consider two family of models: one consisting in multi-speed exclusion processes with acceleration/braking transitions preserving pairwise neighbours locality; a second family of models consisting of tandem queues, with rates coupled dynamically to the flow of clients and enabling for a spontaneous hysteresis mechanism between acceleration and braking phases along the flow.
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Maxim Samsonov, Cyril Furtlehner, Jean-Marc Lasgouttes. Exactly Solvable Stochastic Processes for Traffic Modelling. [Research Report] RR-7278, INRIA. 2010, pp.26. ⟨inria-00492430⟩

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