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Back-pressure traffic signal control with partial routing control

Back-pressure controllers have been recently applied to traffic signal control and demonstrate three key benefits: they are stability optimal, implementable in a completely decentralized manner and do not require knowledge of traffic arrival rates. This paper focuses on the design of a back-pressure controller that both commands the phase at every traffic signal and the routing choice made by a certain ratio of controllable vehicles. The proposed controller is proved to be stability-optimal and simulations illustrate the efficiency of the approach. It remains implementable in a completely decentralized manner and does not require knowledge of arrival rates. Numerical results show the benefits of controlling route choice in addition to the traditional phase control strategy.