Deterministic approach to microscopic three-phase traffic theory

Abstract

Two different deterministic microscopic traffic flow models, which are in the context of the Kerner's there-phase traffic theory, are introduced. In an acceleration time delay model (ATD-model), different time delays in driver acceleration associated with driver behaviour in various local driving situations are explicitly incorporated into the model. Vehicle acceleration depends on local traffic situation, i.e., whether a driver is within the free flow, or synchronized flow, or else wide moving jam traffic phase. In a speed adaptation model (SA-model), vehicle speed adaptation occurs in synchronized flow depending on driving conditions. It is found that the ATD- and SA-models show spatiotemporal congested traffic patterns that are adequate with empirical results. In the ATD- and SA-models, the onset of congestion in free flow at a freeway bottleneck is associated with a first-order phase transition from free flow to synchronized flow; moving jams emerge spontaneously in synchronized flow only. Differences between the ATD- and SA-models are studied. A comparison of the ATD- and SA-models with stochastic models in the context of three phase traffic theory is made. A critical discussion of earlier traffic flow theories and models based on the fundamental diagram approach is presented.

40 pages, 14 figures

References in corpus (2)

• Mechanical restriction versus human overreaction triggering congested traffic states
• Control of Spatial-Temporal Congested Traffic Patterns at Highway Bottlenecks

Cited by in corpus (14)

• Three-phase traffic theory and two-phase models with a fundamental diagram in the light of empirical stylized facts
• Failure of classical traffic flow theories: Stochastic highway capacity and automatic driving
• Microscopic driving theory with oscillatory congested states: model and empirical verification
• Microscopic features of moving traffic jams
• Microscopic Theory of Traffic Flow Instability Governing Traffic Breakdown at Highway Bottlenecks: Growing Wave of Increase in Speed in Synchronized Flow
• How human drivers control their vehicle
• Statistical Physics of Synchronized Traffic Flow: Spatiotemporal Competition between S$\to$F and S$\to$J Instabilities
• Classification and Unification of the Microscopic Deterministic Traffic Models with Identical Drivers
• Physics of Automated-Driving Vehicular Traffic
• Cellular automaton model with dynamical 2D speed-gap relation reproduces empirical and experimental features of traffic flow
• Improved 2D Intelligent Driver Model simulating synchronized flow and evolution concavity in traffic flow
• Effect of Autonomous Driving on Traffic Breakdown in Mixed Traffic Flow: A Critical Mini-Review
• Asymptotic dynamics of closed-boundary vehicular traffic
• Microscopic driving theory with non-hypothetical congested steady state: Model and Empirical verification