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Control system design for an individual signalized junction

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  • Improta, G.
  • Cantarella, G. E.

Abstract

The traffic signal settings for a single road junction have been often evaluated by mathematical programming techniques. This paper proposes a new approach to the problem which allows all the regulation variables to be incorporated into a Binary-Mixed-Integer- Linear-Programming model. This general model permits some of the limitative assumptions involved in other formulations of the problem based on the stage matrix to be removed. The model can be easily solved obtaining a fast computation of the globally optimal control system design. A detailed treatment is given for the particular structure of the mathematical programming schemes obtained by considering delay minimization, capacity reserve maximization, or cycle time minimization as the objective.

Suggested Citation

  • Improta, G. & Cantarella, G. E., 1984. "Control system design for an individual signalized junction," Transportation Research Part B: Methodological, Elsevier, vol. 18(2), pages 147-167, April.
    • Handle: RePEc:eee:transb:v:18:y:1984:i:2:p:147-167
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    Citations

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    Cited by:

    1. Cantarella, G.E. & Pavone, G. & Vitetta, A., 2006. "Heuristics for urban road network design: Lane layout and signal settings," European Journal of Operational Research, Elsevier, vol. 175(3), pages 1682-1695, December.
    2. Dujardin, Yann & Vanderpooten, Daniel & Boillot, Florence, 2015. "A multi-objective interactive system for adaptive traffic control," European Journal of Operational Research, Elsevier, vol. 244(2), pages 601-610.
    3. Yu, Chunhui & Ma, Wanjing & Yang, Xiaoguang, 2020. "A time-slot based signal scheme model for fixed-time control at isolated intersections," Transportation Research Part B: Methodological, Elsevier, vol. 140(C), pages 176-192.
    4. Xuan, Yiguang & Daganzo, Carlos F. & Cassidy, Michael J., 2011. "Increasing the capacity of signalized intersections with separate left turn phases," Transportation Research Part B: Methodological, Elsevier, vol. 45(5), pages 769-781, June.
    5. Muralidharan, Ajith & Pedarsani, Ramtin & Varaiya, Pravin, 2015. "Analysis of fixed-time control," Transportation Research Part B: Methodological, Elsevier, vol. 73(C), pages 81-90.
    6. Wong, C.K. & Heydecker, B.G., 2011. "Optimal allocation of turns to lanes at an isolated signal-controlled junction," Transportation Research Part B: Methodological, Elsevier, vol. 45(4), pages 667-681, May.
    7. Yan, Chiwei & Jiang, Hai & Xie, Siyang, 2014. "Capacity optimization of an isolated intersection under the phase swap sorting strategy," Transportation Research Part B: Methodological, Elsevier, vol. 60(C), pages 85-106.
    8. Wang, Yi & Szeto, W.Y. & Han, Ke & Friesz, Terry L., 2018. "Dynamic traffic assignment: A review of the methodological advances for environmentally sustainable road transportation applications," Transportation Research Part B: Methodological, Elsevier, vol. 111(C), pages 370-394.
    9. Han, Ke & Gayah, Vikash V. & Piccoli, Benedetto & Friesz, Terry L. & Yao, Tao, 2014. "On the continuum approximation of the on-and-off signal control on dynamic traffic networks," Transportation Research Part B: Methodological, Elsevier, vol. 61(C), pages 73-97.
    10. 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.
    11. Aleksandar Jovanović & Dušan Teodorović, 2017. "Pre-timed control for an under-saturated and over-saturated isolated intersection: a Bee Colony Optimization approach," Transportation Planning and Technology, Taylor & Francis Journals, vol. 40(5), pages 556-576, July.
    12. Han, Ke & Gayah, Vikash V., 2015. "Continuum signalized junction model for dynamic traffic networks: Offset, spillback, and multiple signal phases," Transportation Research Part B: Methodological, Elsevier, vol. 77(C), pages 213-239.
    13. Chi-kwong Wong & Yiu-yin Lee, 2020. "Lane-Based Traffic Signal Simulation and Optimization for Preventing Overflow," Mathematics, MDPI, vol. 8(8), pages 1-28, August.
    14. 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.
    15. Bielli, Maurizio & Reverberi, Pierfrancesco, 1996. "New operations research and artificial intelligence approaches to traffic engineering problems," European Journal of Operational Research, Elsevier, vol. 92(3), pages 550-572, August.
    16. Memoli, Silvio & Cantarella, Giulio E. & de Luca, Stefano & Pace, Roberta Di, 2017. "Network signal setting design with stage sequence optimisation," Transportation Research Part B: Methodological, Elsevier, vol. 100(C), pages 20-42.
    17. Hao, Zhenzhen & Boel, René, 2022. "Convergence analysis on control for traffic signals in urban road network," Transportation Research Part B: Methodological, Elsevier, vol. 165(C), pages 35-62.
    18. Wong, C. K. & Wong, S. C., 2003. "Lane-based optimization of signal timings for isolated junctions," Transportation Research Part B: Methodological, Elsevier, vol. 37(1), pages 63-84, January.

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