Multi-class dynamic traffic assignment with link capacity constraints

One of the conventional methods for improving the performance of transportation networks is building new highways, which is not considered nowadays as an effective alternative especially for congested urban areas. Using the intelligent transportation systems (ITS) for traffic control and congestion...

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Main Authors: B. Javani, A. Babazadeh
Format: Article
Language:fas
Published: Sharif University of Technology 2021-08-01
Series:مهندسی عمران شریف
Subjects:
Online Access:https://sjce.journals.sharif.edu/article_22173_06c9ec66ce21561a7cfc225a86c86205.pdf
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author B. Javani
A. Babazadeh
author_facet B. Javani
A. Babazadeh
author_sort B. Javani
collection DOAJ
description One of the conventional methods for improving the performance of transportation networks is building new highways, which is not considered nowadays as an effective alternative especially for congested urban areas. Using the intelligent transportation systems (ITS) for traffic control and congestion reduction, as a powerful alternative, has attracted a lot of attention in the past two decades. Advanced traveler information systems (ATIS) are typical ITS applications which provide the travelers and the traffic control system operators with information in order to enhance the safety and performance of roadway facilities. The basic requirement of implementing and applying such systems is the modeling of time-varying traffic flows over the network. Therefore, there has been an extensive focus on developing the dynamic traffic assignment (DTA) models. The DTA models can capture the dynamic characteristics of the traffic flow by predicting the pattern of time-varying flows, provided that the time-varying travel demands are given. In this paper, an analytical multi-class DTA model is proposed which defines temporal path-link incidence and path-link fraction variables to explain the relationship between the link and path flows and travel times. This model applies the BPR performance function, while confining link flows to the link capacities and considering link queuing delays by employing link capacity constraints. Also, an algorithm is developed which rapidly converges to the optimal solution for large scale problems. In addition, the algorithm uses dynamic penalty functions to deal with the capacity constraints, whereby the queuing delays for each link and each time interval can be easily calculated. The suggested algorithm is applied to the DTA test problem of Tehran network, showing that it is able to efficiently solve the problem. The application of the algorithm for evaluating some multi-class ITS policies in Tehran is also investigated. Finally, a comparison between the dynamic and static results reveals significant differences.
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spelling doaj.art-da9351e8bcf041a1b1e5de1b80edd0a72023-08-23T07:41:18ZfasSharif University of Technologyمهندسی عمران شریف2676-47682676-47762021-08-0137.22.1393810.24200/j30.2020.55759.277722173Multi-class dynamic traffic assignment with link capacity constraintsB. Javani0A. Babazadeh1S‌c‌h‌o‌o‌l o‌f C‌i‌v‌i‌l E‌n‌g‌i‌n‌e‌e‌r‌i‌n‌g C‌o‌l‌l‌e‌g‌e o‌f E‌n‌g‌i‌n‌e‌e‌r‌i‌n‌g U‌n‌i‌v‌e‌r‌s‌i‌t‌y o‌f T‌e‌h‌r‌a‌nS‌c‌h‌o‌o‌l o‌f C‌i‌v‌i‌l E‌n‌g‌i‌n‌e‌e‌r‌i‌n‌g C‌o‌l‌l‌e‌g‌e o‌f E‌n‌g‌i‌n‌e‌e‌r‌i‌n‌g U‌n‌i‌v‌e‌r‌s‌i‌t‌y o‌f T‌e‌h‌r‌a‌nOne of the conventional methods for improving the performance of transportation networks is building new highways, which is not considered nowadays as an effective alternative especially for congested urban areas. Using the intelligent transportation systems (ITS) for traffic control and congestion reduction, as a powerful alternative, has attracted a lot of attention in the past two decades. Advanced traveler information systems (ATIS) are typical ITS applications which provide the travelers and the traffic control system operators with information in order to enhance the safety and performance of roadway facilities. The basic requirement of implementing and applying such systems is the modeling of time-varying traffic flows over the network. Therefore, there has been an extensive focus on developing the dynamic traffic assignment (DTA) models. The DTA models can capture the dynamic characteristics of the traffic flow by predicting the pattern of time-varying flows, provided that the time-varying travel demands are given. In this paper, an analytical multi-class DTA model is proposed which defines temporal path-link incidence and path-link fraction variables to explain the relationship between the link and path flows and travel times. This model applies the BPR performance function, while confining link flows to the link capacities and considering link queuing delays by employing link capacity constraints. Also, an algorithm is developed which rapidly converges to the optimal solution for large scale problems. In addition, the algorithm uses dynamic penalty functions to deal with the capacity constraints, whereby the queuing delays for each link and each time interval can be easily calculated. The suggested algorithm is applied to the DTA test problem of Tehran network, showing that it is able to efficiently solve the problem. The application of the algorithm for evaluating some multi-class ITS policies in Tehran is also investigated. Finally, a comparison between the dynamic and static results reveals significant differences.https://sjce.journals.sharif.edu/article_22173_06c9ec66ce21561a7cfc225a86c86205.pdfdynamic traffic assignmentmulti-classcapacity constraintintelligent transportation systemstehran network
spellingShingle B. Javani
A. Babazadeh
Multi-class dynamic traffic assignment with link capacity constraints
مهندسی عمران شریف
dynamic traffic assignment
multi-class
capacity constraint
intelligent transportation systems
tehran network
title Multi-class dynamic traffic assignment with link capacity constraints
title_full Multi-class dynamic traffic assignment with link capacity constraints
title_fullStr Multi-class dynamic traffic assignment with link capacity constraints
title_full_unstemmed Multi-class dynamic traffic assignment with link capacity constraints
title_short Multi-class dynamic traffic assignment with link capacity constraints
title_sort multi class dynamic traffic assignment with link capacity constraints
topic dynamic traffic assignment
multi-class
capacity constraint
intelligent transportation systems
tehran network
url https://sjce.journals.sharif.edu/article_22173_06c9ec66ce21561a7cfc225a86c86205.pdf
work_keys_str_mv AT bjavani multiclassdynamictrafficassignmentwithlinkcapacityconstraints
AT ababazadeh multiclassdynamictrafficassignmentwithlinkcapacityconstraints