Threshold Queueing to Describe the Fundamental Diagram of Uninterrupted Traffic

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Abstract

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, 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.
Original languageEnglish
Pages (from-to)585-596
Number of pages12
JournalTransportation science
Volume53
Issue number2
DOIs
Publication statusPublished - 26 Mar 2019

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Keywords

  • threshold queue
  • hysteresis
  • capacity drop
  • fundamental diagram
  • matrix analytic methods
  • level-dependent quasi-birth-and-death process

Cite this

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title = "Threshold Queueing to Describe the Fundamental Diagram of Uninterrupted Traffic",
abstract = "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, 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.",
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author = "Niek Ba{\"e}r and Boucherie, {Richard J.} and {van Ommeren}, {Jan-Kees C.W.}",
note = "Funding: This research is supported by the Centre for Telematics and Information Technology of the University of Twente.",
year = "2019",
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}

Threshold Queueing to Describe the Fundamental Diagram of Uninterrupted Traffic. / Baër, Niek; Boucherie, Richard J.; van Ommeren, Jan-Kees C.W.

In: Transportation science, Vol. 53, No. 2, 26.03.2019, p. 585-596.

Research output: Contribution to journalArticleAcademicpeer-review

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T1 - Threshold Queueing to Describe the Fundamental Diagram of Uninterrupted Traffic

AU - Baër, Niek

AU - Boucherie, Richard J.

AU - van Ommeren, Jan-Kees C.W.

N1 - Funding: This research is supported by the Centre for Telematics and Information Technology of the University of Twente.

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N2 - 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, 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.

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KW - threshold queue

KW - hysteresis

KW - capacity drop

KW - fundamental diagram

KW - matrix analytic methods

KW - level-dependent quasi-birth-and-death process

U2 - 10.1287/trsc.2018.0850

DO - 10.1287/trsc.2018.0850

M3 - Article

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SP - 585

EP - 596

JO - Transportation science

JF - Transportation science

SN - 0041-1655

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ER -