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An algorithm for the inflow control problem on urban freeway networks with user-optimal flows

Author

Listed:
  • Yang, Hai
  • Yagar, Sam
  • Iida, Yasunori
  • Asakura, Yasuo

Abstract

A successive linear optimization method is proposed to efficiently solve the on-ramp traffic control problem on urban freeway networls with user-optimal flows. A linear approximation of the implicit, nonlinear capacity constraint is formulated using the first-order derivatives of the link flows with respect to input on-ramp flows. The derivative information required for the algorithm is based on the theory of sensitivity analysis for network equilibrium problems. The performance of the algorithm is illustrated and compared with the previous iterative linear programming and assignment algorithm using numerical examples.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:transb:v:28:y:1994:i:2:p:123-139
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    Cited by:

    1. Josefsson, Magnus & Patriksson, Michael, 2007. "Sensitivity analysis of separable traffic equilibrium equilibria with application to bilevel optimization in network design," Transportation Research Part B: Methodological, Elsevier, vol. 41(1), pages 4-31, January.
    2. 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.
    3. Yin, Yafeng & Madanat, Samer M. & Lu, Xiao-Yun, 2009. "Robust improvement schemes for road networks under demand uncertainty," European Journal of Operational Research, Elsevier, vol. 198(2), pages 470-479, October.
    4. Clegg, Janet & Smith, Mike & Xiang, Yanling & Yarrow, Robert, 2001. "Bilevel programming applied to optimising urban transportation," Transportation Research Part B: Methodological, Elsevier, vol. 35(1), pages 41-70, January.
    5. Clark, Stephen D. & Watling, David P., 2002. "Sensitivity analysis of the probit-based stochastic user equilibrium assignment model," Transportation Research Part B: Methodological, Elsevier, vol. 36(7), pages 617-635, August.
    6. Gomes, Gabriel C., 2004. "Optimization and Microsimulation of On-ramp Metering for Congested Freeways," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt95k1q411, Institute of Transportation Studies, UC Berkeley.
    7. Chan, K. S. & Lam, William H. K., 2002. "Optimal speed detector density for the network with travel time information," Transportation Research Part A: Policy and Practice, Elsevier, vol. 36(3), pages 203-223, March.
    8. 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.
    9. Lovell, David J. & Daganzo, Carlos F., 2000. "Access control on networks with unique origin-destination paths," Transportation Research Part B: Methodological, Elsevier, vol. 34(3), pages 185-202, April.
    10. Meng, Q. & Yang, H. & Bell, M. G. H., 2001. "An equivalent continuously differentiable model and a locally convergent algorithm for the continuous network design problem," Transportation Research Part B: Methodological, Elsevier, vol. 35(1), pages 83-105, January.
    11. Yan, Hai & Lam, William H. K., 1996. "Optimal road tolls under conditions of queueing and congestion," Transportation Research Part A: Policy and Practice, Elsevier, vol. 30(5), pages 319-332, September.
    12. Yafeng Yin, 2006. "Optimal Fleet Allocation of Freeway Service Patrols," Networks and Spatial Economics, Springer, vol. 6(3), pages 221-234, September.
    13. Zhang, Fang & Lu, Jian & Hu, Xiaojian, 2022. "Integrated path controlling and subsidy scheme for mobility and environmental management in automated transportation networks," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 167(C).
    14. Ziyou, Gao & Yifan, Song, 2002. "A reserve capacity model of optimal signal control with user-equilibrium route choice," Transportation Research Part B: Methodological, Elsevier, vol. 36(4), pages 313-323, May.
    15. 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.

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