Networks and Spatial Economics

, Volume 15, Issue 3, pp 843–882 | Cite as

Model Representation & Decision-Making in an Ever-Changing World: The Role of Stochastic Process Models of Transportation Systems

  • David P. Watling
  • Giulio E. Cantarella


We review and advance the state-of-the-art in the modelling of transportation systems as a stochastic process. The conceptual and theoretical basis of the approach is explained in detail. A variety of examples are given to motivate its use in the field. While the examples cover a wide range of modelling philosophies, in order to provide focus they are restricted to modelling a special class of problems involving driver route choice in networks. Our overall objective is to establish the applicability of this approach as a ‘unifying framework’ for modelling approaches involving dynamic and stochastic elements, developing further the ideas put forward in Cantarella & Cascetta (Transportation Science 29, 305–329, 1995). Directions for further development and research are identified.


Stochastic process Day-to-day dynamic Traffic assignment 



We would like to thank the anonymous reviewers, as well as colleagues at DTA2012, for constructive comments that helped us to improve an earlier version of this paper. This work was partially supported by UNISA local grant ORSA091208 (financial year 2009) and ORSA118135 (financial year 2011), and by UK EPSRC grant refs. EP/I00212X/1 (2011–12) and EP/I00212X/2 (2012–16). The financial assistance of Prof Terry Friesz is also gratefully acknowledged, in supporting the visit of the first-named author to deliver the keynote paper at the DTA 2012 International Symposium on Dynamic Traffic Assignment (Martha’s Vineyard, USA), upon which the present paper is based.


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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Institute for Transport StudiesUniversity of LeedsLeedsUK
  2. 2.Department of Civil EngineeringUniversity of SalernoSalernoItaly

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