A Section-Based Queueing-Theoretical Traffic Model for Congestion and Travel Time Analysis in Networks

Abstract

While many classical traffic models treat the spatial extension of streets continuously or by discretization into cells of a certain length, we will subdivide roads into comparatively long homogeneous road sections of constant capacity with an inhomogeneity at the end. The related model is simple and numerically efficient. It is inspired by models of dynamic queueing networks and takes into account essential features of traffic flows. Instead of treating single vehicles or velocity profiles, it focusses on flows at specific cross sections and average travel times of vehicles.

Revised version, with a correction of a subscript in formula (9). For related work see http://www.helbing.org

References in corpus (1)

• Modeling Supply Networks and Business Cycles as Unstable Transport Phenomena

Cited by in corpus (9)

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• Self-Control of Traffic Lights and Vehicle Flows in Urban Road Networks
• Theoretical vs. Empirical Classification and Prediction of Congested Traffic States
• Derivation of a Fundamental Diagram for Urban Traffic Flow
• Predictability of road traffic and congestion in urban areas
• The Physics of Traffic and Regional Development
• Operation Regimes and Slower-is-Faster-Effect in the Control of Traffic Intersections
• Exclusive Queueing Processes and their Application to Traffic Systems
• Identification and prioritization of urban traffic bottlenecks