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

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  • David Watling
  • Giulio Cantarella

Abstract

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. Copyright Springer Science+Business Media New York 2015

Suggested Citation

  • David Watling & Giulio Cantarella, 2015. "Model Representation & Decision-Making in an Ever-Changing World: The Role of Stochastic Process Models of Transportation Systems," Networks and Spatial Economics, Springer, vol. 15(3), pages 843-882, September.
    • Handle: RePEc:kap:netspa:v:15:y:2015:i:3:p:843-882
    DOI: 10.1007/s11067-013-9198-2
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    13. Meneguzzer, Claudio, 2022. "Day-to-day dynamics in a simple traffic network with mixed direct and contrarian route choice behaviors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).
    14. Sun, Mingmei, 2023. "A day-to-day dynamic model for mixed traffic flow of autonomous vehicles and inertial human-driven vehicles," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 173(C).
    15. Beibei Hu & Yawen Kong & Mengge Sun & Xianlei Dong & Gang Zong, 2018. "Understanding the unbalance of interest in taxi market based on drivers' service profit margins," PLOS ONE, Public Library of Science, vol. 13(6), pages 1-18, June.
    16. Guo, Ren-Yong & Szeto, W.Y., 2018. "Day-to-day modal choice with a Pareto improvement or zero-sum revenue scheme," Transportation Research Part B: Methodological, Elsevier, vol. 110(C), pages 1-25.

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