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Title: Step tolling in an activity-based bottleneck model
Authors: Li, ZC
Lam, WHK 
Wong, SC
Issue Date: Jul-2017
Source: Transportation research. Part B, Methodological, July 2017, v. 101, p. 306-334
Abstract: 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. The commuters choose their departure times from home to work in the morning to maximize their own scheduling utility. Step tolling models with homogeneous and heterogeneous preferences are presented. The properties of the models and the optimal step toll schemes with constant and linear time-varying marginal activity utilities are analytically explored and compared. It was found that for a given number of toll steps the efficacy of a step toll in terms of queuing removal rate is higher in the activity-based bottleneck model with linear marginal utilities than in the conventional bottleneck model with constant marginal utilities, and ignoring the preference heterogeneity of commuters would underestimate the efficacy of a step toll.
Keywords: Step tolling
Activity-based bottleneck model
Homogeneous and heterogeneous preferences
Time-varying marginal activity utility
Publisher: Pergamon Press
Journal: Transportation research. Part B, Methodological 
ISSN: 0191-2615
EISSN: 1879-2367
DOI: 10.1016/j.trb.2017.04.001
Rights: © 2017 Elsevier Ltd. All rights reserved.
© 2017. This manuscript version is made available under the CC-BY-NC-ND 4.0 license
The following publication Li, Z. C., Lam, W. H., & Wong, S. C. (2017). Step tolling in an activity-based bottleneck model. Transportation Research Part B: Methodological, 101, 306-334 is available at
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