Title
Threshold Queueing to Describe the Fundamental Diagram of Uninterrupted Traffic
Abstract
AbstractQueueing because of congestion is an important aspect of road traffic. This paper provides a novel threshold queue that models the empirical shape of the fundamental diagram. In particular, we show that our threshold queue with two service phases captures the capacity drop that is eminent in the fundamental diagram of modern traffic. We use measurements on a Danish highway to illustrate that our threshold queue is indeed capable of capturing the fundamental diagram of real-world traffic systems. We furthermore indicate the modelling power of our threshold queue via a sensitivity study showing that our model is able to capture a wide range of shapes for the fundamental diagram.The online appendix is available at https://doi.org/10.1287/trsc.2018.0850.
Year
DOI
Venue
2019
10.1287/trsc.2018.0850
Periodicals
Keywords
Field
DocType
threshold queue,hysteresis,capacity drop,fundamental diagram,matrix analytic methods,level-dependent quasi-birth-and-death process
Mathematical optimization,Fundamental diagram of traffic flow,Queue,Road traffic,Diagram,Queueing theory,Layered queueing network,Mathematics,Operations management
Journal
Volume
Issue
ISSN
53
2
1526-5447
Citations 
PageRank 
References 
1
0.39
7
Authors
3
Name
Order
Citations
PageRank
Niek Baer111.06
Richard J. Boucherie231137.73
Jan-Kees Van Ommeren3214.35