Zero-Queue Traffic Control Using Green-Times and Prices – Michael J Smith – Emeritus Professor of Mathematics, University of York & Dr. Richard Mounce – Director, RBM Traffic Solutions Ltd and Honorary Fellow, University of York

This paper gives some simple examples to illustrate the capacity-maximising property of traffic signal control policy P0 and shows that this capacity-maximising property is not possessed by all responsive signal control policies. The paper also illustrates how an equilibrium consistent with traffic signal control policy P0 may be enhanced by using prices; it is shown that in a simple network prices may be utilised to drive queues to zero or near zero in the P0-consistent equilibrium. This illustrates the general result obtained in the recent journal paper (available via White Rose Research Online): Smith, M.J., Iryo, T., Mounce, R, Satsukawa, K., Watling, D., 2022, Zero-queue traffic control, using green-times and prices together. Transportation Research Part C: Emerging Technologies, 138, 103630.
This paper aims to introduce and illustrate the general results obtained in the above paper.
Keywords: Capacity-maximising traffic signal control; Traffic signal control and pricing.

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