Fifty years of the bottleneck model: A bibliometric review and future research directions
The bottleneck model introduced by Vickrey in 1969 has been recognized as a benchmark
representation of the peak-period traffic congestion due to its ability to capture the essence …
representation of the peak-period traffic congestion due to its ability to capture the essence …
Macroscopic network-level traffic models: Bridging fifty years of development toward the next era
Network macroscopic fundamental diagrams (NMFD) and related network-level traffic
dynamics models have received both theoretical support and empirical validation with the …
dynamics models have received both theoretical support and empirical validation with the …
Generalized bathtub model of network trip flows
WL Jin - Transportation Research Part B: Methodological, 2020 - Elsevier
Abstract Vickrey (1991, 2020) proposed a bathtub model for the evolution of trip flows served
by privately operated vehicles inside a road network based on three premises:(i) treatment …
by privately operated vehicles inside a road network based on three premises:(i) treatment …
The morning commute in urban areas with heterogeneous trip lengths
R Lamotte, N Geroliminis - Transportation Research Part B: Methodological, 2018 - Elsevier
This paper investigates the equilibrium properties of the morning commute problem at the
network level with heterogeneous trip lengths. Congestion is modeled with a Macroscopic …
network level with heterogeneous trip lengths. Congestion is modeled with a Macroscopic …
Departure time choice models in urban transportation systems based on mean field games
M Ameli, MSS Faradonbeh… - Transportation …, 2022 - pubsonline.informs.org
Departure time choice models play a crucial role in determining the traffic load in
transportation systems. Most studies that consider departure time user equilibrium (DTUE) …
transportation systems. Most studies that consider departure time user equilibrium (DTUE) …
[HTML][HTML] A bathtub model of transit congestion
Studies of transit dwell times suggest that the delay caused by passengers boarding and
alighting rises with the number of passengers on each vehicle. This paper incorporates such …
alighting rises with the number of passengers on each vehicle. This paper incorporates such …
Modeling the dynamics of congestion in large urban networks using the macroscopic fundamental diagram: User equilibrium, system optimum, and pricing strategies
M Amirgholy, HO Gao - Transportation Research Part B: Methodological, 2017 - Elsevier
The macroscopic fundamental diagram (MFD) is introduced in recent studies to present the
relationship between the flow and the density of the network in large urban regions …
relationship between the flow and the density of the network in large urban regions …
A dynamic user equilibrium model for multi-region macroscopic fundamental diagram systems with time-varying delays
Macroscopic fundamental diagram (MFD) has been widely used for aggregate modeling of
urban traffic network dynamics to tackle the dimensionality problem of microscopic …
urban traffic network dynamics to tackle the dimensionality problem of microscopic …
Staggered work schedules for congestion mitigation: A morning commute problem
In urban networks, traffic congestion can be curbed by deconcentrating the temporal
distribution of the travel demand. In this paper, we propose an optimal staggered work …
distribution of the travel demand. In this paper, we propose an optimal staggered work …
Solving for equilibrium in the basic bathtub model
The basic (identical individuals) bathtub model has an unfamiliar mathematical structure,
with a delay differential equation with an endogenous delay at its core. The early papers on …
with a delay differential equation with an endogenous delay at its core. The early papers on …