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Optimization of Traffic Signal Settings by Mixed-Integer Linear Programming

Author

Listed:
  • Nathan H. Gartner

    (Massachusetts Institute of Technology, Cambridge, Massachusetts)

  • John D. C. Little

    (Massachusetts Institute of Technology, Cambridge, Massachusetts)

  • Henry Gabbay

    (Massachusetts Institute of Technology, Cambridge, Massachusetts)

Abstract

Remits obtained in Part I are extended to include offsets, splits at each intersection, and a common cycle time for the network as simultaneous decision variables. In addition to the deterministic link performance function, the stochastic effects of overflow queues from one cycle to the next are modeled by means of a saturation deterrence function that enters as an additive component in the objective function. Computational results demonstrate the feasibility of using mixed-integer linear programming on problems of realistic size. Sensitivity analysis of cycle time shows it to have a strong influence on network performance.

Suggested Citation

  • Nathan H. Gartner & John D. C. Little & Henry Gabbay, 1975. "Optimization of Traffic Signal Settings by Mixed-Integer Linear Programming," Transportation Science, INFORMS, vol. 9(4), pages 344-363, November.
    • Handle: RePEc:inm:ortrsc:v:9:y:1975:i:4:p:344-363
    DOI: 10.1287/trsc.9.4.344
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    Cited by:

    1. Le, Tung & Vu, Hai L. & Walton, Neil & Hoogendoorn, Serge P. & Kovács, Péter & Queija, Rudesindo N., 2017. "Utility optimization framework for a distributed traffic control of urban road networks," Transportation Research Part B: Methodological, Elsevier, vol. 105(C), pages 539-558.
    2. Zhou, Xuesong, 2017. "Recasting and optimizing intersection automation as a connected-and-automated-vehicle (CAV) scheduling problem: A sequential branch-and-bound search approach in phase-time-traffic hypernetworkAuthor-N," Transportation Research Part B: Methodological, Elsevier, vol. 105(C), pages 479-506.
    3. Heydecker, B. G., 1996. "A decomposition approach for signal optimisation in road networks," Transportation Research Part B: Methodological, Elsevier, vol. 30(2), pages 99-114, April.
    4. Rey, David & Levin, Michael W., 2019. "Blue phase: Optimal network traffic control for legacy and autonomous vehicles," Transportation Research Part B: Methodological, Elsevier, vol. 130(C), pages 105-129.
    5. Pillai, Rekha S. & Rathi*, Ajay K. & L. Cohen, Stephen, 1998. "A restricted branch-and-bound approach for generating maximum bandwidth signal timing plans for traffic networks," Transportation Research Part B: Methodological, Elsevier, vol. 32(8), pages 517-529, November.
    6. Yao, Zhihong & Zhao, Bin & Qin, Lingqiao & Jiang, Yangsheng & Ran, Bin & Peng, Bo, 2020. "An efficient heterogeneous platoon dispersion model for real-time traffic signal control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 539(C).
    7. Coogan, Samuel & Kim, Eric & Gomes, Gabriel & Arcak, Murat & Varaiya, Pravin, 2017. "Offset optimization in signalized traffic networks via semidefinite relaxation," Transportation Research Part B: Methodological, Elsevier, vol. 100(C), pages 82-92.
    8. Sadek, Bassel & Doig Godier, Jean & Cassidy, Michael J & Daganzo, Carlos F, 2022. "Traffic signal plans to decongest street grids," Transportation Research Part B: Methodological, Elsevier, vol. 162(C), pages 195-208.
    9. Little, John D. C. & Kelson, Mark D. & Gartner, Nathan H., 1981. "MAXBAND : a versatile program for setting signals on arteries and triangular networks," Working papers 1185-81., Massachusetts Institute of Technology (MIT), Sloan School of Management.

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