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With spatial queueing, the P0 responsive traffic signal control policy may fail to maximise network capacity even if queue storage capacities are very large

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  • Smith, Michael J
  • Viti, Francesco
  • Huang, Wei
  • Mounce, Richard

Abstract

The local responsive traffic signal control policy P0 was designed to maximise network capacity under certain conditions and it has been shown, in Smith (1979a, b, 1980) and Smith et al. (2019a, 2022), that the P0 policy and related policies do indeed maximise the capacity of many steady state networks or quasi-dynamic networks with vertical and spatial queues under various conditions. This current paper shows, by giving an example, that if queueing is spatial then the original policy P0 itself may not maximise network capacity, even if the queue storage capacity of each link is very large.

Suggested Citation

  • Smith, Michael J & Viti, Francesco & Huang, Wei & Mounce, Richard, 2023. "With spatial queueing, the P0 responsive traffic signal control policy may fail to maximise network capacity even if queue storage capacities are very large," Transportation Research Part B: Methodological, Elsevier, vol. 177(C).
  • Handle: RePEc:eee:transb:v:177:y:2023:i:c:s019126152300139x
    DOI: 10.1016/j.trb.2023.102814
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    References listed on IDEAS

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    1. Smith, Mike & Huang, Wei & Viti, Francesco & Tampère, Chris M.J. & Lo, Hong K., 2019. "Quasi-dynamic traffic assignment with spatial queueing, control and blocking back," Transportation Research Part B: Methodological, Elsevier, vol. 122(C), pages 140-166.
    2. Carlos F. Daganzo, 1998. "Queue Spillovers in Transportation Networks with a Route Choice," Transportation Science, INFORMS, vol. 32(1), pages 3-11, February.
    3. Mike J. Smith, 2010. "Intelligent Network Control: Using an Assignment–Control Model to Design Fixed Time Signal Timings," Chapters, in: Chris M.J. Tampere & Francesco Viti & Lambertus H. (Ben) Immers (ed.), New Developments in Transport Planning, chapter 3, Edward Elgar Publishing.
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    5. M. J. Smith & T. van Vuren, 1993. "Traffic Equilibrium with Responsive Traffic Control," Transportation Science, INFORMS, vol. 27(2), pages 118-132, May.
    6. Gentile, Guido & Meschini, Lorenzo & Papola, Natale, 2007. "Spillback congestion in dynamic traffic assignment: A macroscopic flow model with time-varying bottlenecks," Transportation Research Part B: Methodological, Elsevier, vol. 41(10), pages 1114-1138, December.
    7. 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.
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