Impact of Capacity Drop on Commuting Systems under Uncertainty

This paper analyzes the impact of capacity drop on commuters’ travel choice behaviors under uncertainty. For clarity, we assume that the capacity drop is triggered by the queue forming at the bottleneck under the hypercongestion circumstances, and the stochasticity of the drop could not be neglected...

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Main Authors: Wenwei Zhang, Hui Zhao, Rui Jiang
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Journal of Advanced Transportation
Online Access:http://dx.doi.org/10.1155/2018/6809304
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author Wenwei Zhang
Hui Zhao
Rui Jiang
author_facet Wenwei Zhang
Hui Zhao
Rui Jiang
author_sort Wenwei Zhang
collection DOAJ
description This paper analyzes the impact of capacity drop on commuters’ travel choice behaviors under uncertainty. For clarity, we assume that the capacity drop is triggered by the queue forming at the bottleneck under the hypercongestion circumstances, and the stochasticity of the drop could not be neglected. Considering the uncertainty of travel time, we establish a bottleneck model with commuters choosing their departure time according to the mean travel cost. From the proposed model, analytical solutions are achieved and therefore several properties are presented, including monotonicity of travel cost and departure rate, and the relationship between dispersion degree and length of peak period. To alleviate traffic congestion at the bottleneck and avoid capacity drop, we design a time-varying toll scheme and a step toll scheme. Evolution of queue length in equilibrium is discussed based on the Laih model. Numerical examples are also presented to demonstrate the established model and the effectiveness of the proposed toll schemes.
format Article
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institution Kabale University
issn 0197-6729
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publishDate 2018-01-01
publisher Wiley
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series Journal of Advanced Transportation
spelling doaj-art-cd02238652ff4cfe9a234630846ba58d2025-02-03T07:24:08ZengWileyJournal of Advanced Transportation0197-67292042-31952018-01-01201810.1155/2018/68093046809304Impact of Capacity Drop on Commuting Systems under UncertaintyWenwei Zhang0Hui Zhao1Rui Jiang2MOE Key Laboratory for Urban Transportation Complex System Theory and Technology, School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, ChinaMOE Key Laboratory for Urban Transportation Complex System Theory and Technology, School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, ChinaMOE Key Laboratory for Urban Transportation Complex System Theory and Technology, School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, ChinaThis paper analyzes the impact of capacity drop on commuters’ travel choice behaviors under uncertainty. For clarity, we assume that the capacity drop is triggered by the queue forming at the bottleneck under the hypercongestion circumstances, and the stochasticity of the drop could not be neglected. Considering the uncertainty of travel time, we establish a bottleneck model with commuters choosing their departure time according to the mean travel cost. From the proposed model, analytical solutions are achieved and therefore several properties are presented, including monotonicity of travel cost and departure rate, and the relationship between dispersion degree and length of peak period. To alleviate traffic congestion at the bottleneck and avoid capacity drop, we design a time-varying toll scheme and a step toll scheme. Evolution of queue length in equilibrium is discussed based on the Laih model. Numerical examples are also presented to demonstrate the established model and the effectiveness of the proposed toll schemes.http://dx.doi.org/10.1155/2018/6809304
spellingShingle Wenwei Zhang
Hui Zhao
Rui Jiang
Impact of Capacity Drop on Commuting Systems under Uncertainty
Journal of Advanced Transportation
title Impact of Capacity Drop on Commuting Systems under Uncertainty
title_full Impact of Capacity Drop on Commuting Systems under Uncertainty
title_fullStr Impact of Capacity Drop on Commuting Systems under Uncertainty
title_full_unstemmed Impact of Capacity Drop on Commuting Systems under Uncertainty
title_short Impact of Capacity Drop on Commuting Systems under Uncertainty
title_sort impact of capacity drop on commuting systems under uncertainty
url http://dx.doi.org/10.1155/2018/6809304
work_keys_str_mv AT wenweizhang impactofcapacitydroponcommutingsystemsunderuncertainty
AT huizhao impactofcapacitydroponcommutingsystemsunderuncertainty
AT ruijiang impactofcapacitydroponcommutingsystemsunderuncertainty