Analytical investigation on the minimum traffic delay at a two-phase intersection considering the dynamical evolution process of queues

Abstract

This paper has studied the minimum traffic delay at a two-phase intersection, taking into account the dynamical evolution process of queues. The feature of delay function has been studied, which indicates that the minimum traffic delay must be achieved when equality holds in at least one of the two constraints. We have derived the minimum delay as well as the corresponding traffic signal period, which shows that two situations are classified. Under certain circumstance, extra green time is needed for one phase while otherwise no extra green time should be assigned in both phases. Our work indicates that although the clearing policies were shown in many experiments to be optimal at isolated intersections, it is sometimes not the case.

Signal optimization in urban transport: A totally asymmetric simple exclusion process with traffic lights

“…We believe that our approach sets a firm ground for the analysis of more sophisticated traffic models as well as in other geometries. The step toward more complex lattices has already been made, for example, at an intersection of two perpendicular segments [44][45][46][47][48] or in more complicated networks [49][50][51][52][53]. Despite the relevance of these studies for city traffic, in these works traffic optimization has been understood as optimization of the flow.…”

Theoretical Rationale of the Speed Mode of Public Transport for Non-Stop Passage at a Signal-Controlled Crossing

“…В работах [7,8,13] В работе [12] исследованы методы обеспечения приоритета автобусов для светофорного регулирования, которые стали жизнеспособной альтернативой сокращения задержек времени на регулируемых перекрестках. А в работе [1] был проведен эксперимент на регулируемом перекрестке, в процессе которого измерялось влияние транспортного потока в трех сценариях: отсутствие приоритета, абсолютный приоритет и условный приоритет.…”