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Alternative Variational Inequality Formulations of the Network Equilibrium-Travel Choice Problem

Author

Listed:
  • C. S. Fisk

    (University of Illinois at Urbana-Champaign, Urbana, Illinois)

  • D. E. Boyce

    (University of Illinois at Urbana-Champaign, Urbana, Illinois)

Abstract

Alternative variational inequality formulations of the network equilibrium-travel choice problem are given, extending previous results to include models with non-invertible travel demand functions. The model is then developed further to allow for the possibility of dispersion in route choice.

Suggested Citation

  • C. S. Fisk & D. E. Boyce, 1983. "Alternative Variational Inequality Formulations of the Network Equilibrium-Travel Choice Problem," Transportation Science, INFORMS, vol. 17(4), pages 454-463, November.
    • Handle: RePEc:inm:ortrsc:v:17:y:1983:i:4:p:454-463
    DOI: 10.1287/trsc.17.4.454
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    Citations

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    Cited by:

    1. C Fisk, 1984. "A Nonlinear Equation Framework for Solving Network Equilibrium Problems," Environment and Planning A, , vol. 16(1), pages 67-80, January.
    2. Ran, Bin & Boyce, David E., 1995. "Ideal Dynamic User-Optimal Route Choice: A Link-Based Variational Inequality Formulation," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt3t4686x6, Institute of Transportation Studies, UC Berkeley.
    3. D E Boyce, 1984. "Urban Transportation Network-Equilibrium and Design Models: Recent Achievements and Future Prospects," Environment and Planning A, , vol. 16(11), pages 1445-1474, November.
    4. D E Boyce, 1984. "Editorial," Environment and Planning A, , vol. 16(1), pages 1-3, January.
    5. Ran, Bin & Hall, Randolph W. & Boyce, David E., 1996. "A link-based variational inequality model for dynamic departure time/route choice," Transportation Research Part B: Methodological, Elsevier, vol. 30(1), pages 31-46, February.
    6. Ran, Bin & Hall, Randolph & Boyce, David E., 1995. "A Link-Based Variational Inequality Model for Dynamic Departure Time/Route Choice," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt84t190b3, Institute of Transportation Studies, UC Berkeley.
    7. Jiashan Wang & Yingying Kang & Changhyun Kwon & Rajan Batta, 2012. "Dual Toll Pricing for Hazardous Materials Transport with Linear Delay," Networks and Spatial Economics, Springer, vol. 12(1), pages 147-165, March.
    8. Louis de Grange & Juan Carlos Muñoz, 2007. "An equivalent optimization formulation for the traffic assignment problem with asymmetric linear costs," Transportation Planning and Technology, Taylor & Francis Journals, vol. 32(1), pages 1-25, March.

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