A Bathtub Model of Downtown Traffic Congestion
By Richard Arnott. 2013
224 citations recorded by the source corpus.
A quarter century ago, William Vickrey, the "father of congestion pricing", developed the "bathtub" model for the dynamics of rush-hour traffic. This article presents a review of recent empirical work that supports Vickrey’s hypothesis, a report on work in the development a formal model of the Vickrey bathtub, and a discussion into how the hypothesis provides insight into managing downtown traffic congestion through pricing.
Subfields: Building and Construction, Control and Systems Engineering, Transportation
View Paper: https://www.semanticscholar.org/paper/ec757e07a71bd85a98f39cea4892457335516793
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Building and Construction
- Jorge A. Laval
- Ludovic Leclercq
- G. Mariotte
- W. Jin
- J. V. van Ommeren
- Martin W. Adler
- Mogens Fosgerau
- Zuduo Zheng
In Control and Systems Engineering
- Ludovic Leclercq
- W. Jin
- Jorge A. Laval
- J. V. van Ommeren
- Martin W. Adler
- Mogens Fosgerau
- G. Mariotte
- Zuduo Zheng
In Transportation
- Ludovic Leclercq
- W. Jin
- Jorge A. Laval
- G. Mariotte
- J. V. van Ommeren
- Martin W. Adler
- Mogens Fosgerau
- Kenneth Small
Citations in the corpus
- Macroscopic urban dynamics: Analytical and numerical comparisons of existing models (2017, methodology): “L = ∫ t t−T (t) V(n(s))ds (8) This definition is mentioned in the 11th footnote of Arnott (2013) first, and used in the studies of Fosgerau (2015) and Lamotte and Geroliminis (2016) then.”
- Generalized bathtub model of network trip flows (2019, background): “In the third type, a road network is treated as a single unit with roads of the same traffic conditions; in this sense, a road network with vehicular traffic flows is similar to a bathtub with water flow (Vickrey, 1991, 1994; Arnott, 2013).”
- Congestion in the bathtub (2015, methodology): “Arnott et al. (1993) exhibit a stylized case in which an efficiency gain can be harvested through the imposition of a time-varying toll that eliminates queueing and the efficiency gain is equal to half the congestion cost that the bottleneck imposes on drivers in unregulated equilibrium.”
- Does Public Transit reduce Car Travel Externalities (2015, background): “…representative for the speed within the whole city as previous studies indicate that within-city speed observations over different locations are strongly correlated (e.g. Arnott, 2013; Fosgerau and Small, 2013). transport outcomes on strike days with transport outcomes on similar non-strike days.”