Threshold Queueing to Describe the Fundamental Diagram of Uninterrupted Traffic

Queueing 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, the authors show that their threshold queue with two service phases captures the capacity drop that is eminent in the fundamental diagram of modern traffic. The authors use measurements on a Danish highway to illustrate that their threshold queue is indeed capable of capturing the fundamental diagram of real-world traffic systems. The authors furthermore indicate the modelling power of their threshold queue via a sensitivity study showing that their model is able to capture a wide range of shapes for the fundamental diagram.The online appendix is available at

  • Record URL:
  • Availability:
  • Supplemental Notes:
    • Abstracts reprinted with permission of INFORMS (Institute for Operations Research and the Management Sciences,
  • Authors:
    • Baer, Niek
    • Boucherie, Richard J
    • van Ommeren, Jan-Kees C W
  • Publication Date: 2019-3


  • English

Media Info

Subject/Index Terms

Filing Info

  • Accession Number: 01703252
  • Record Type: Publication
  • Files: TRIS
  • Created Date: Apr 22 2019 1:57PM