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A Constraint Qualification for a Dynamic Traffic Assignment Model

Author

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  • Malachy Carey

    (Carnegie-Mellon University, Pittsburgh, Pennsylvania)

Abstract

This note resolves a hitherto open question as to whether a dynamic traffic assignment model, which was developed and analyzed in earlier issues of this journal, satisfies a “constraint qualification.” It is shown that the model does in fact satisfy a constraint qualification, which establishes the validity of the optimality analysis presented by previous authors.

Suggested Citation

  • Malachy Carey, 1986. "A Constraint Qualification for a Dynamic Traffic Assignment Model," Transportation Science, INFORMS, vol. 20(1), pages 55-58, February.
    • Handle: RePEc:inm:ortrsc:v:20:y:1986:i:1:p:55-58
    DOI: 10.1287/trsc.20.1.55
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    Citations

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    Cited by:

    1. Moore, II, James E. & Kim, Geunyoung & Cho, Seongdil & Hu, Hsi-hwa & Xu, Rong, 1997. "Evaluating System ATMIS Technologies Via Rapid Estimation Of Network Flows: Final Report," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt5c70f3d9, Institute of Transportation Studies, UC Berkeley.
    2. Makoto Tanaka, 2007. "Extended Price Cap Mechanism for Efficient Transmission Expansion under Nodal Pricing," Networks and Spatial Economics, Springer, vol. 7(3), pages 257-275, September.
    3. S. Waller & Athanasios Ziliaskopoulos, 2006. "A Combinatorial user optimal dynamic traffic assignment algorithm," Annals of Operations Research, Springer, vol. 144(1), pages 249-261, April.
    4. Li, Jun & Fujiwara, Okitsugu & Kawakami, Shogo, 2000. "A reactive dynamic user equilibrium model in network with queues," Transportation Research Part B: Methodological, Elsevier, vol. 34(8), pages 605-624, November.
    5. Chen, Huey-Kuo & Hsueh, Che-Fu, 1998. "A model and an algorithm for the dynamic user-optimal route choice problem," Transportation Research Part B: Methodological, Elsevier, vol. 32(3), pages 219-234, April.
    6. Tong, C. O. & Wong, S. C., 2000. "A predictive dynamic traffic assignment model in congested capacity-constrained road networks," Transportation Research Part B: Methodological, Elsevier, vol. 34(8), pages 625-644, November.
    7. Bar-Gera, Hillel & Carey, Malachy, 2017. "Representation requirements for perfect first-in-first-out verification in continuous flow dynamic models," Transportation Research Part B: Methodological, Elsevier, vol. 100(C), pages 284-301.
    8. Zhao, Chunxue & Fu, Baibai & Wang, Tianming, 2014. "Braess paradox and robustness of traffic networks under stochastic user equilibrium," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 61(C), pages 135-141.
    9. Ghali, M. O. & Smith, M. J., 1995. "A model for the dynamic system optimum traffic assignment problem," Transportation Research Part B: Methodological, Elsevier, vol. 29(3), pages 155-170, June.
    10. Duanmu, Jun & Chowdhury, Mashrur & Taaffe, Kevin & Jordan, Craig, 2012. "Buffering in evacuation management for optimal traffic demand distribution," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(3), pages 684-700.
    11. Lam, William H. K. & Huang, Hai-Jun, 1995. "Dynamic user optimal traffic assignment model for many to one travel demand," Transportation Research Part B: Methodological, Elsevier, vol. 29(4), pages 243-259, August.
    12. Cantelmo, Guido & Viti, Francesco, 2019. "Incorporating activity duration and scheduling utility into equilibrium-based Dynamic Traffic Assignment," Transportation Research Part B: Methodological, Elsevier, vol. 126(C), pages 365-390.
    13. Luo, Shiaw-Shyan & Wang, Chung-Yung & Sung, Yi-Wei, 2018. "Time-dependent trip-chain link travel time estimation model with the first-in–first-out constraint," European Journal of Operational Research, Elsevier, vol. 267(2), pages 415-427.
    14. Wen-Long Jin, 2021. "A Link Queue Model of Network Traffic Flow," Transportation Science, INFORMS, vol. 55(2), pages 436-455, March.

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