An ordinary differential equation formulation of the bottleneck model with user heterogeneity

WX Wu, HJ Huang - Transportation Research Part B: Methodological, 2015 - Elsevier
Considering heterogeneous values of time and schedule delay early, in this paper we
develop an ordinary differential equation formulation of the bottleneck model without …

Coarse tolling with heterogeneous preferences

VAC van den Berg - Transportation Research Part B: Methodological, 2014 - Elsevier
This paper analyses optimal coarse tolling of congestion under heterogeneous preferences,
and in particular its welfare and distributional effects. With coarse tolling, the toll equals a …

Departure time choice equilibrium and tolling strategies for a bottleneck with stochastic capacity

J Long, H Yang, WY Szeto - Transportation Science, 2022 - pubsonline.informs.org
This paper develops a bottleneck model in which the capacity of the bottleneck is assumed
to be stochastic and follow a general distribution that has a positive upper bound. The user …

Congestion tolling in the bottleneck model with heterogeneous values of time

V Van den Berg, ET Verhoef - Transportation Research Part B …, 2011 - Elsevier
When analysing the effects of transport policies it is important to adequately control for
heterogeneity: previous studies note that ignoring heterogeneity biases the estimated …

Departure time choice equilibrium and tolling strategies for a bottleneck with continuous scheduling preference

T Zhu, Y Li, J Long - Transportation Research Part E: Logistics and …, 2022 - Elsevier
This paper develops a bottleneck model with continuous scheduling preference (CSP),
which assumes that the unit cost of schedule delay penalty functions have continuously …

Constrained optimization for bottleneck coarse tolling

D Xu, X Guo, G Zhang - Transportation Research Part B: Methodological, 2019 - Elsevier
We study the optimal single-step coarse toll design problem for the bottleneck model where
the toll level and tolling duration have maximum acceptable upper bounds and the …

Step tolling in an activity-based bottleneck model

ZC Li, WHK Lam, SC Wong - Transportation Research Part B …, 2017 - Elsevier
This paper investigates the step tolling problem in an activity-based bottleneck model in
which activity scheduling utilities of commuters at home and at work vary by the time of day …

Morning commute problem considering route choice, user heterogeneity and alternative system optima

Y Liu, YM Nie - Transportation Research Part B: Methodological, 2011 - Elsevier
This paper extends the bottleneck model to study congestion behavior of morning commute
and its implications to transportation economics. The proposed model considers …

Congestion behavior and tolls in a bottleneck model with stochastic capacity

LL Xiao, HJ Huang, R Liu - Transportation Science, 2015 - pubsonline.informs.org
In this paper we investigate a bottleneck model in which the capacity of the bottleneck is
assumed stochastic and follows a uniform distribution. The commuters' departure time …

A single-step-toll equilibrium for the bottleneck model with dropped capacity

H Ren, Y Xue, J Long, Z Gao - Transportmetrica B: Transport …, 2016 - Taylor & Francis
The optimal time-varying tolling is cumbersome for practical implementation due to the
incomplete knowledge of toll determination and high costs for toll collection. Alternatively, a …