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Modeling the capacity and level of service of urban transportation networks

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  • Yang, Hai
  • Bell, Michael G. H.
  • Meng, Qiang

Abstract

Consider an urban transportation network. For a given current origin-destination (O-D) demand pattern, we can have a corresponding link flow pattern on the network through an appropriate equilibrium traffic assignment model. Supposing that flow on each link associated with the current O-D demand is below a given upper bound such as link capacity or any other prescribed threshold, we would ask how much additional demand from each trip origin can be accommodated by the network so that flow on each link is still within the given bound when the additional and existing demand is together assigned to the network. This problem can be referred to as the network capacity and level of service problem and is fully investigated in this paper. New formulations are presented and compared with existing techniques in terms of the assumption of O-D demand pattern and travelers' route and location choice behavior for the capacity and level of service modeling. Numerical examples are provided and potential applications of the models are mentioned.

Suggested Citation

  • Yang, Hai & Bell, Michael G. H. & Meng, Qiang, 2000. "Modeling the capacity and level of service of urban transportation networks," Transportation Research Part B: Methodological, Elsevier, vol. 34(4), pages 255-275, May.
    • Handle: RePEc:eee:transb:v:34:y:2000:i:4:p:255-275
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    References listed on IDEAS

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    1. K. Nabil Ali Safwat & Thomas L. Magnanti, 1988. "A Combined Trip Generation, Trip Distribution, Modal Split, and Trip Assignment Model," Transportation Science, INFORMS, vol. 22(1), pages 14-30, February.
    2. LeBlanc, Larry J. & Farhangian, Keyvan, 1982. "Selection of a trip table which reproduces observed link flows," Transportation Research Part B: Methodological, Elsevier, vol. 16(2), pages 83-88, April.
    3. Yang, Hai & Yagar, Sam & Iida, Yasunori & Asakura, Yasuo, 1994. "An algorithm for the inflow control problem on urban freeway networks with user-optimal flows," Transportation Research Part B: Methodological, Elsevier, vol. 28(2), pages 123-139, April.
    4. Oppenheim, Norbert, 1993. "Equilibrium trip distribution/assignment with variable destination costs," Transportation Research Part B: Methodological, Elsevier, vol. 27(3), pages 207-217, June.
    5. Wong, S. C. & Yang, Hai, 1997. "Reserve capacity of a signal-controlled road network," Transportation Research Part B: Methodological, Elsevier, vol. 31(5), pages 397-402, October.
    6. Yang, Hai & Bell, Michael G. H., 1997. "Traffic restraint, road pricing and network equilibrium," Transportation Research Part B: Methodological, Elsevier, vol. 31(4), pages 303-314, August.
    7. Yang, Hai, 1995. "Heuristic algorithms for the bilevel origin-destination matrix estimation problem," Transportation Research Part B: Methodological, Elsevier, vol. 29(4), pages 231-242, August.
    8. Ferrari, Paolo, 1995. "Road pricing and network equilibrium," Transportation Research Part B: Methodological, Elsevier, vol. 29(5), pages 357-372, October.
    9. Nathan H. Gartner, 1980. "Optimal Traffic Assignment with Elastic Demands: A Review Part I. Analysis Framework," Transportation Science, INFORMS, vol. 14(2), pages 174-191, May.
    10. Yang, Hai, 1997. "Sensitivity analysis for the elastic-demand network equilibrium problem with applications," Transportation Research Part B: Methodological, Elsevier, vol. 31(1), pages 55-70, February.
    11. Yang, Hai & Bell, Michael G. H., 1998. "A capacity paradox in network design and how to avoid it," Transportation Research Part A: Policy and Practice, Elsevier, vol. 32(7), pages 539-545, September.
    12. Nozick, Linda K. & Morlok, Edward K., 1997. "A model for medium-term operations planning in an intermodal rail-truck service," Transportation Research Part A: Policy and Practice, Elsevier, vol. 31(2), pages 91-107, March.
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