Queueing due to congestion is an important aspect of road traffic. This paper provides a brief overview of queueing models for traffic and a novel threshold queue that captures the main aspects of the empirical shape of the fundamental diagram. Our numerical results characterises the sources of variation that influence the shape of the fundamental diagram.
|Publisher||University of Twente, Department of Applied Mathematics|
- Level dependent quasi-birth-and-death process
- Fundamental diagram
- Matrix Analytic Methods
- Threshold queue
- Capacity drop