# Capacity-aware back-pressure traffic signal control

Abstract : The control of a network of signalized intersections is considered. Previous work demonstrates that the so-called back-pressure control provides stability guarantees, assuming infinite queues capacities. In this paper, we highlight the failing of current back-pressure control under finite capacities by identifying sources of non work-conservation and congestion propagation. We propose the use of a normalized pressure which guarantees work conservation and mitigates congestion propagation, while ensuring fairness at low traffic densities, and recovering original back-pressure as capacities grow to infinity. This capacity-aware back-pressure control allows to improve performance as congestion increases, as indicated by simulation results, and keeps the key benefits of back-pressure: ability to be distributed over intersections and $\mathcal{O}(1)$ complexity.
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Cited literature [25 references]

https://hal.archives-ouvertes.fr/hal-00865966
Contributor : Jean Gregoire <>
Submitted on : Monday, May 5, 2014 - 3:54:29 PM
Last modification on : Monday, November 12, 2018 - 10:55:55 AM
Document(s) archivé(s) le : Tuesday, August 5, 2014 - 12:21:17 PM

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• HAL Id : hal-00865966, version 3

### Citation

Jean Gregoire, Xiangjun Qian, Emilio Frazzoli, Arnaud De La Fortelle, Tichakorn Wongpiromsarn. Capacity-aware back-pressure traffic signal control. 9 pages, submitted to IEEE TCNS. 2013. 〈hal-00865966v3〉

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