Threshold queueing describes the fundamental diagram of uninterrupted traffic

Niek Baër, Richardus J. Boucherie, Jan C.W. van Ommeren

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Abstract

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.
Original languageUndefined
Place of PublicationEnschede
PublisherUniversity of Twente
Number of pages22
Publication statusPublished - Dec 2012

Publication series

NameMemorandum
PublisherUniversity of Twente, Department of Applied Mathematics
No.2000
ISSN (Print)1874-4850
ISSN (Electronic)1874-4850

Keywords

  • Level dependent quasi-birth-and-death process
  • Fundamental diagram
  • Hysteresis
  • Matrix Analytic Methods
  • EWI-22823
  • IR-84380
  • METIS-293287
  • Threshold queue
  • Capacity drop

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