Max-Pressure Control utilizing Total Movement Delay

Traffic signal control algorithms utilizing max-pressure principles can rely on feedback obtained from either queue lengths or travel times. This paper considers max-pressure algorithms based on travel times, aiming to address traffic-related challenges, including (i) unbounded link capacity, (ii) mitigating the "the Last Packet effect", and (iii) enhancing queue modeling to account for spatial queue distribution. Hence, we propose a new max-pressure algorithm based on total movement delays, which requires local information only to determine appropriate phase activation, and aims at minimizing delays. First, we introduce a new traffic model based in queuing theory. Unlike previous approaches that rely on the store-and-forward model, our model accurately depicts vehicle travel time delays. Second, based on the developed model, we introduce a new traffic oriented max-pressure algorithm. The objective of maximizing throughput is compared to minimizing travel time delays, through the comparison of different a-cyclic time-based max-pressure control schemes with existing a-cyclic queue-based algorithms control schemes.