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Optimum Control of a System of Oversaturated Intersections

Author

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  • Denos C. Gazis

    (IBM Watson Research Center, Yorktown Heights, New York)

Abstract

The problem of optimizing the control of two oversaturated traffic intersections is solved by using the semi-graphical methods employed in a previous paper for an isolated intersection. As in the case of a single intersection the optimum control involves values of the control variables that lie along edges of the control region, which in this case is defined by the permissible ranges of the green phase splits. An analytical formulation of the method using Pontryagin’s control theory is also given.

Suggested Citation

  • Denos C. Gazis, 1964. "Optimum Control of a System of Oversaturated Intersections," Operations Research, INFORMS, vol. 12(6), pages 815-831, December.
    • Handle: RePEc:inm:oropre:v:12:y:1964:i:6:p:815-831
    DOI: 10.1287/opre.12.6.815
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    Cited by:

    1. Abu-Lebdeh, Ghassan & Benekohal, Rahim F., 2003. "Design and evaluation of dynamic traffic management strategies for congested conditions," Transportation Research Part A: Policy and Practice, Elsevier, vol. 37(2), pages 109-127, February.
    2. Quantao Yang & Feng Lu & Jingsheng Wang & Dan Zhao & Lijie Yu, 2020. "Analysis of the Insertion Angle of Lane-Changing Vehicles in Nearly Saturated Fast Road Segments," Sustainability, MDPI, vol. 12(3), pages 1-17, January.
    3. Yin, Yafeng, 2008. "Robust optimal traffic signal timing," Transportation Research Part B: Methodological, Elsevier, vol. 42(10), pages 911-924, December.
    4. Haddad, Jack, 2017. "Optimal perimeter control synthesis for two urban regions with aggregate boundary queue dynamics," Transportation Research Part B: Methodological, Elsevier, vol. 96(C), pages 1-25.
    5. Chen, Xiangdong & Lin, Xi & Li, Meng & He, Fang, 2022. "Multi-rhythm control for heterogeneous traffic and road networks in CAV environments," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 160(C).
    6. Lee, Seunghyeon & Wong, S.C. & Varaiya, Pravin, 2017. "Group-based hierarchical adaptive traffic-signal control part I: Formulation," Transportation Research Part B: Methodological, Elsevier, vol. 105(C), pages 1-18.
    7. Mohajerpoor, Reza & Saberi, Meead & Ramezani, Mohsen, 2019. "Analytical derivation of the optimal traffic signal timing: Minimizing delay variability and spillback probability for undersaturated intersections," Transportation Research Part B: Methodological, Elsevier, vol. 119(C), pages 45-68.
    8. Lee, Seunghyeon & Wong, S.C., 2017. "Group-based approach to predictive delay model based on incremental queue accumulations for adaptive traffic control systems," Transportation Research Part B: Methodological, Elsevier, vol. 98(C), pages 1-20.
    9. Wang Yu & Zhang Dongbo & Zhang Yu, 2022. "GPS data Mining at Signalized Intersections for Congestion Charging," Computational Economics, Springer;Society for Computational Economics, vol. 59(4), pages 1713-1734, April.
    10. Muralidharan, Ajith & Pedarsani, Ramtin & Varaiya, Pravin, 2015. "Analysis of fixed-time control," Transportation Research Part B: Methodological, Elsevier, vol. 73(C), pages 81-90.
    11. Yan, Fei & Qiu, Jiangchen & Tian, Jianyan, 2022. "An iterative learning identification strategy for nonlinear macroscopic traffic flow model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 604(C).
    12. Denos C. Gazis, 2002. "The Origins of Traffic Theory," Operations Research, INFORMS, vol. 50(1), pages 69-77, February.

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