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Linear Programming Formulation for Strategic Dynamic Traffic Assignment

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  • S. Waller
  • David Fajardo
  • Melissa Duell
  • Vinayak Dixit

Abstract

This work introduces a novel formulation of system optimal dynamic traffic assignment that captures strategic route choice in users under demand uncertainty. We define strategic route choice to be that users choose a path prior to knowing the true travel demand which will be experienced (therefore users consider the full set of possible demand scenarios). The problem is formulated based on previous work by Ziliaskopoulos (Transp Sci 34(1):37–49, 2000 ). The resulting novel formulation requires substantial enhancement to account for path-based flows and scenario-based stochastic demands. Further, a numerical demonstration is presented on a network with different demand loading profiles. Finally, model complexity, implications on scalability and future research directions are discussed. Copyright Springer Science+Business Media New York 2013

Suggested Citation

  • S. Waller & David Fajardo & Melissa Duell & Vinayak Dixit, 2013. "Linear Programming Formulation for Strategic Dynamic Traffic Assignment," Networks and Spatial Economics, Springer, vol. 13(4), pages 427-443, December.
    • Handle: RePEc:kap:netspa:v:13:y:2013:i:4:p:427-443
    DOI: 10.1007/s11067-013-9187-5
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    References listed on IDEAS

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    Cited by:

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    2. Bagloee, Saeed Asadi & Asadi, Mohsen, 2015. "Prioritizing road extension projects with interdependent benefits under time constraint," Transportation Research Part A: Policy and Practice, Elsevier, vol. 75(C), pages 196-216.
    3. Long, Jiancheng & Szeto, W.Y. & Du, Jie & Wong, R.C.P., 2017. "A dynamic taxi traffic assignment model: A two-level continuum transportation system approach," Transportation Research Part B: Methodological, Elsevier, vol. 100(C), pages 222-254.
    4. Huijun Sun & Si Zhang & Linghui Han & Xiaomei Zhao & Lu Lou, 2020. "Day-to-Day Evolution Model Based on Dynamic Reference Point with Heterogeneous Travelers," Networks and Spatial Economics, Springer, vol. 20(4), pages 935-961, December.
    5. Michael W. Levin & Melissa Duell & S. Travis Waller, 2020. "Arrival Time Reliability in Strategic User Equilibrium," Networks and Spatial Economics, Springer, vol. 20(3), pages 803-831, September.
    6. N. Nezamuddin & Stephen Boyles, 2015. "A Continuous DUE Algorithm Using the Link Transmission Model," Networks and Spatial Economics, Springer, vol. 15(3), pages 465-483, September.
    7. Long, Jiancheng & Szeto, W.Y. & Huang, Hai-Jun & Gao, Ziyou, 2015. "An intersection-movement-based stochastic dynamic user optimal route choice model for assessing network performance," Transportation Research Part B: Methodological, Elsevier, vol. 74(C), pages 182-217.

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