A theory of multiple vehicle type dynamic marginal cost considering departure time choices

The analysis of single vehicle type dynamic marginal cost is extended to multiple vehicle type dynamic one based on time‐dependent multiple vehicle type queue analysis at a bottleneck. First, a dynamic link model to rep‐ resent the interactions between cars and trucks is provided. Then, the analytic...

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Main Authors: Shu-Guang Li, Qing-Hua Zhou
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2010-09-01
Series:Transport
Subjects:
Online Access:https://www.mla.vgtu.lt/index.php/Transport/article/view/5803
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author Shu-Guang Li
Qing-Hua Zhou
author_facet Shu-Guang Li
Qing-Hua Zhou
author_sort Shu-Guang Li
collection DOAJ
description The analysis of single vehicle type dynamic marginal cost is extended to multiple vehicle type dynamic one based on time‐dependent multiple vehicle type queue analysis at a bottleneck. First, a dynamic link model to rep‐ resent the interactions between cars and trucks is provided. Then, the analytic expression of a multiple vehicle type dynamic marginal cost function considering departure time choices is deduced under congested and un‐congested conditions and consequently, a dynamic toll function is given. A heuristic algorithm is introduced to solve multiple vehicle type dynamic queues and toll under system optimum and user equilibrium conditions taking into account traveler's departure time. A numerical example shows that a dynamic congestion toll can diminish queues and improve system conditions when traffic demand is not changed. First published online: 10 Feb 2011
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spelling doaj.art-069f0c1a49534e729e154d468cc2daa12022-12-22T04:17:48ZengVilnius Gediminas Technical UniversityTransport1648-41421648-34802010-09-0125310.3846/transport.2010.38A theory of multiple vehicle type dynamic marginal cost considering departure time choicesShu-Guang Li0Qing-Hua Zhou1School of Electronic and Control Engineering, Chang’an University, Xi’an 710064, Shaan’xi, ChinaDept of Highway Engineering, Shaan’xi College of Communications Technology, Xi’an 710021, Shaan’xi, ChinaThe analysis of single vehicle type dynamic marginal cost is extended to multiple vehicle type dynamic one based on time‐dependent multiple vehicle type queue analysis at a bottleneck. First, a dynamic link model to rep‐ resent the interactions between cars and trucks is provided. Then, the analytic expression of a multiple vehicle type dynamic marginal cost function considering departure time choices is deduced under congested and un‐congested conditions and consequently, a dynamic toll function is given. A heuristic algorithm is introduced to solve multiple vehicle type dynamic queues and toll under system optimum and user equilibrium conditions taking into account traveler's departure time. A numerical example shows that a dynamic congestion toll can diminish queues and improve system conditions when traffic demand is not changed. First published online: 10 Feb 2011https://www.mla.vgtu.lt/index.php/Transport/article/view/5803multiple vehicle typesdynamic marginal cost functionpoint queue
spellingShingle Shu-Guang Li
Qing-Hua Zhou
A theory of multiple vehicle type dynamic marginal cost considering departure time choices
Transport
multiple vehicle types
dynamic marginal cost function
point queue
title A theory of multiple vehicle type dynamic marginal cost considering departure time choices
title_full A theory of multiple vehicle type dynamic marginal cost considering departure time choices
title_fullStr A theory of multiple vehicle type dynamic marginal cost considering departure time choices
title_full_unstemmed A theory of multiple vehicle type dynamic marginal cost considering departure time choices
title_short A theory of multiple vehicle type dynamic marginal cost considering departure time choices
title_sort theory of multiple vehicle type dynamic marginal cost considering departure time choices
topic multiple vehicle types
dynamic marginal cost function
point queue
url https://www.mla.vgtu.lt/index.php/Transport/article/view/5803
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AT qinghuazhou atheoryofmultiplevehicletypedynamicmarginalcostconsideringdeparturetimechoices
AT shuguangli theoryofmultiplevehicletypedynamicmarginalcostconsideringdeparturetimechoices
AT qinghuazhou theoryofmultiplevehicletypedynamicmarginalcostconsideringdeparturetimechoices