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Derivatives of the performance index for the traffic model from TRANSYT

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  • Wong, S. C.

Abstract

This paper forms a starting point for the investigation of phase-based optimisation of signal timings for area traffic control. A conventional performance index, which is a weighted combination of delays of stops, is evaluated by the traffic model from the well-known stage-based procedure TRANSYT, but is considered here as a function of phase-based control variables, start and duration of green phases. In the paper, approximate expressions for the derivatives of performance index with respect to phase-based control variables are derived. The contribution from upstream, downstream and further downstream links and platoon dispersion are taken into account. The derivatives calculated from the expressions are compared with those from numerical differentiation using a trial network from Leicestershire as an example to illustrate the effectiveness of the formulae.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:transb:v:29:y:1995:i:5:p:303-327
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    References listed on IDEAS

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    1. 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.
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    Cited by:

    1. Chow, Andy H.F. & Li, Shuai & Zhong, Renxin, 2017. "Multi-objective optimal control formulations for bus service reliability with traffic signals," Transportation Research Part B: Methodological, Elsevier, vol. 103(C), pages 248-268.
    2. Chiou, Suh-Wen, 2003. "TRANSYT derivatives for area traffic control optimisation with network equilibrium flows," Transportation Research Part B: Methodological, Elsevier, vol. 37(3), pages 263-290, March.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. Chow, Andy H.F. & Lo, Hong K., 2007. "Sensitivity analysis of signal control with physical queuing: Delay derivatives and an application," Transportation Research Part B: Methodological, Elsevier, vol. 41(4), pages 462-477, May.
    9. Wong, S. C. & Yang, Chao & Lo, Hong K., 2001. "A path-based traffic assignment algorithm based on the TRANSYT traffic model," Transportation Research Part B: Methodological, Elsevier, vol. 35(2), pages 163-181, February.
    10. 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.
    11. 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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