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Group-based hierarchical adaptive traffic-signal control part I: Formulation

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  • Lee, Seunghyeon
  • Wong, S.C.
  • Varaiya, Pravin

Abstract

A group-based adaptive traffic-control method for isolated signalized junctions is developed that includes a hierarchical structure comprising tactical and local levels of signal timing optimization. The control method optimizes the signal timings in adaptive traffic-control systems, and takes full advantage of flexible new technologies to incorporate the most up-to-date traffic information, as collected in real time. The definitions, combinations, and sequencing of the cycle structure stages are generated automatically using a procedure for optimizing the signal-timing plans in response to online data from traffic detectors. This new method provides a wider search space and improves the efficiency of the signal-control systems, thus improving the junction performance, minimizing delays, and maximizing capacity in real time. A multi-resolution strategy is proposed for updating the elements of the signal plans cycle-by-cycle and adjusting the current green signal timing second-by-second. The group-based variables and parameters for the proactive global-optimization method utilize lane-based predictive traffic-flow information, such as arrival and discharge rates, expressed as the slopes of polygonal delay formulas. Therefore, there is a high degree of flexibility in the tactical identification of the optimal signal plan in response to the real-time predicted traffic information, the objective function of the polygonal delay formula, and the direct differential equations for the adaptive group-based variables. The reactive local signal-control policy, which is formed based on the max-pressure strategy, is developed to locally adjust the current green signal time and to accommodate delicate demand fluctuations second-by-second at the fine-resolution level. The most appropriate cycle-structure for the tactical level of control is identified using a group-based global-optimization procedure that takes advantage of the latest available information. In part II of this study (Lee et al. 2017), the effectiveness of the proposed methods is validated based on the actualized mathematical frameworks, computer simulations, and a case study, using the appropriate computer programs.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:transb:v:105:y:2017:i:c:p:1-18
    DOI: 10.1016/j.trb.2017.08.008
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    1. D. W. Ross & R. C. Sandys & J. L. Schlaefli, 1971. "A Computer Control Scheme for Critical-Intersection Control in an Urban Network," Transportation Science, INFORMS, vol. 5(2), pages 141-160, May.
    2. G. C. D'Ans & D. C. Gazis, 1976. "Optimal Control of Oversaturated Store-and-Forward Transportation Networks," Transportation Science, INFORMS, vol. 10(1), pages 1-19, February.
    3. 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.
    4. Wong, S. C., 1995. "Derivatives of the performance index for the traffic model from TRANSYT," Transportation Research Part B: Methodological, Elsevier, vol. 29(5), pages 303-327, October.
    5. 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.
    6. Paul I. Richards, 1956. "Shock Waves on the Highway," Operations Research, INFORMS, vol. 4(1), pages 42-51, February.
    7. Smith, M. J., 1979. "The existence, uniqueness and stability of traffic equilibria," Transportation Research Part B: Methodological, Elsevier, vol. 13(4), pages 295-304, December.
    8. 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.
    9. Smith, M. J. & Ghali, M., 1990. "The dynamics of traffic assignment and traffic control: A theoretical study," Transportation Research Part B: Methodological, Elsevier, vol. 24(6), pages 409-422, December.
    10. Gallivan, Stephen & Heydecker, Benjamin, 1988. "Optimising the control performance of traffic signals at a single junction," Transportation Research Part B: Methodological, Elsevier, vol. 22(5), pages 357-370, October.
    11. Silcock, J. P., 1997. "Designing signal-controlled junctions for group-based operation," Transportation Research Part A: Policy and Practice, Elsevier, vol. 31(2), pages 157-173, March.
    12. 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.
    13. Denos C. Gazis, 1964. "Optimum Control of a System of Oversaturated Intersections," Operations Research, INFORMS, vol. 12(6), pages 815-831, December.
    14. Michael C. Dunne & Renfrey B. Potts, 1964. "Algorithm for Traffic Control," Operations Research, INFORMS, vol. 12(6), pages 870-881, December.
    15. Wong, S. C., 1996. "Group-based optimisation of signal timings using the TRANSYT traffic model," Transportation Research Part B: Methodological, Elsevier, vol. 30(3), pages 217-244, June.
    16. M. J. Smith & T. van Vuren, 1993. "Traffic Equilibrium with Responsive Traffic Control," Transportation Science, INFORMS, vol. 27(2), pages 118-132, May.
    17. Smith, M. J., 1981. "Properties of a traffic control policy which ensure the existence of a traffic equilibrium consistent with the policy," Transportation Research Part B: Methodological, Elsevier, vol. 15(6), pages 453-462, December.
    18. Wong, S. C. & Wong, W. T. & Leung, C. M. & Tong, C. O., 2002. "Group-based optimization of a time-dependent TRANSYT traffic model for area traffic control," Transportation Research Part B: Methodological, Elsevier, vol. 36(4), pages 291-312, May.
    19. Lee, Seunghyeon & Wong, S.C. & Varaiya, Pravin, 2017. "Group-based hierarchical adaptive traffic-signal control Part II: Implementation," Transportation Research Part B: Methodological, Elsevier, vol. 104(C), pages 376-397.
    20. 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.
    21. 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.
    22. Smith, M. J., 1979. "Traffic control and route-choice; a simple example," Transportation Research Part B: Methodological, Elsevier, vol. 13(4), pages 289-294, December.
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