Arbeitspapier

Speed-Flow Relations and Cost Functions for Congested Traffic: Theory and Empirical Analysis

A dynamic 'car-following' extension of the conventional economic model of traffic congestion is presented, which predicts the average cost function for trips in stationary states to be significantly different from the conventional average cost function derived from the speed-flow function. When applied to a homogeneous road, the model reproduces the same stationary state equilibria as the conventional model, including the hypercongested ones. However, stability analysis shows that the latter are dynamically unstable. The average cost function for stationary state traffic coincides with the conventional function for non-hypercongested traffic, but rises vertically at the road's capacity due to queuing, instead of bending backwards. When extending the model to include an upstream road segment, it predicts that such queuing will occur under hypercongested conditions, while the general shape of the average cost function for full trips does not change, implying that hypercongestion will not occur on the downstream road segment. These qualitative predictions are verified empirically using traffic data from a Dutch bottleneck.

Language
Englisch

Bibliographic citation
Series: Tinbergen Institute Discussion Paper ; No. 03-064/3

Classification
Wirtschaft
Transportation: Demand, Supply, and Congestion; Travel Time; Safety and Accidents; Transportation Noise
Transportation Economics: Government Pricing and Policy
Externalities
Subject
Traffic congestion
Road pricing
Car-following theory
Speed-flow relations
Cost functions
Verkehr
Bottleneck
Straßenbenutzungsgebühr
Kostenfunktion
Verkehrsökonomik
Theorie

Event
Geistige Schöpfung
(who)
Verhoef, Erik T.
Event
Veröffentlichung
(who)
Tinbergen Institute
(where)
Amsterdam and Rotterdam
(when)
2003

Handle
Last update
10.03.2025, 11:41 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Verhoef, Erik T.
  • Tinbergen Institute

Time of origin

  • 2003

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