Dynamical Systems and Network Flows: Traffic Flow Problem on Multi-lane Intersections (Economic Analysis)

Tarekegn Mitiku Agajie

doi:doi:10.11648/j.acm.20150404.20

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Dynamical Systems and Network Flows: Traffic Flow Problem on Multi-lane Intersections (Economic Analysis)

Tarekegn Mitiku Agajie

Published in Applied and Computational Mathematics (Volume 4, Issue 4)

Received: 2 July 2015 Accepted: 10 July 2015 Published: 29 July 2015

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Abstract

Nowadays due to rapid population growth and hence increasing demand for transportation, traffic congestion at road intersections become a serious problem for developed as well as developing countries. Traffic congestion causes considerable costs due to unproductive time losses, extra fuel consumption, accidents and also has a negative impact on the environment such as air pollution, noise and stress. Thus, economic analysis of multi-lane intersections and improvement alternatives take account of vehicles cost of fuel consumption and time costs incurred by users of the road junctions. The objective of this study was about determining average waiting time of vehicles and estimating cost incurred due to delay at unsignalized double lane roundabouts and signalized cross intersections. In this study MMAS Cellular Automata model and Poisson queuing model were used. The study tried to calculate the average waiting time (delay) of vehicles in the system (in queue plus in service) at both types of road intersections. The study was tried to quantify vehicles waiting time at both types of road intersections (cost incurred due to delay); that is cost of time lost for passengers and cost of extra fuel consumed by vehicles. Based on the findings of the study, that is based on time and fuel lost (though other factors are not included), signalized cross intersections are better than roundabouts to minimize traffic congestion problem at road junctions.

Published in	Applied and Computational Mathematics (Volume 4, Issue 4)
DOI	10.11648/j.acm.20150404.20
Page(s)	321-330
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2015. Published by Science Publishing Group

Keywords

Roundabout, Cross Intersection, Poisson Queuing Model, Average Waiting Time, Number of Vehicles in the System, Cost of Time Lost, Cost of Extra Fuel Consumed

References

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APA Style

Tarekegn Mitiku Agajie. (2015). Dynamical Systems and Network Flows: Traffic Flow Problem on Multi-lane Intersections (Economic Analysis). Applied and Computational Mathematics, 4(4), 321-330. https://doi.org/10.11648/j.acm.20150404.20

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ACS Style

Tarekegn Mitiku Agajie. Dynamical Systems and Network Flows: Traffic Flow Problem on Multi-lane Intersections (Economic Analysis). Appl. Comput. Math. 2015, 4(4), 321-330. doi: 10.11648/j.acm.20150404.20

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AMA Style

Tarekegn Mitiku Agajie. Dynamical Systems and Network Flows: Traffic Flow Problem on Multi-lane Intersections (Economic Analysis). Appl Comput Math. 2015;4(4):321-330. doi: 10.11648/j.acm.20150404.20

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@article{10.11648/j.acm.20150404.20,
  author = {Tarekegn Mitiku Agajie},
  title = {Dynamical Systems and Network Flows: Traffic Flow Problem on Multi-lane Intersections (Economic Analysis)},
  journal = {Applied and Computational Mathematics},
  volume = {4},
  number = {4},
  pages = {321-330},
  doi = {10.11648/j.acm.20150404.20},
  url = {https://doi.org/10.11648/j.acm.20150404.20},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20150404.20},
  abstract = {Nowadays due to rapid population growth and hence increasing demand for transportation, traffic congestion at road intersections become a serious problem for developed as well as developing countries. Traffic congestion causes considerable costs due to unproductive time losses, extra fuel consumption, accidents and also has a negative impact on the environment such as air pollution, noise and stress. Thus, economic analysis of multi-lane intersections and improvement alternatives take account of vehicles cost of fuel consumption and time costs incurred by users of the road junctions. The objective of this study was about determining average waiting time of vehicles and estimating cost incurred due to delay at unsignalized double lane roundabouts and signalized cross intersections. In this study MMAS Cellular Automata model and Poisson queuing model were used. The study tried to calculate the average waiting time (delay) of vehicles in the system (in queue plus in service) at both types of road intersections. The study was tried to quantify vehicles waiting time at both types of road intersections (cost incurred due to delay); that is cost of time lost for passengers and cost of extra fuel consumed by vehicles. Based on the findings of the study, that is based on time and fuel lost (though other factors are not included), signalized cross intersections are better than roundabouts to minimize traffic congestion problem at road junctions.},
 year = {2015}
}

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TY  - JOUR
T1  - Dynamical Systems and Network Flows: Traffic Flow Problem on Multi-lane Intersections (Economic Analysis)
AU  - Tarekegn Mitiku Agajie
Y1  - 2015/07/29
PY  - 2015
N1  - https://doi.org/10.11648/j.acm.20150404.20
DO  - 10.11648/j.acm.20150404.20
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 321
EP  - 330
PB  - Science Publishing Group
SN  - 2328-5613
UR  - https://doi.org/10.11648/j.acm.20150404.20
AB  - Nowadays due to rapid population growth and hence increasing demand for transportation, traffic congestion at road intersections become a serious problem for developed as well as developing countries. Traffic congestion causes considerable costs due to unproductive time losses, extra fuel consumption, accidents and also has a negative impact on the environment such as air pollution, noise and stress. Thus, economic analysis of multi-lane intersections and improvement alternatives take account of vehicles cost of fuel consumption and time costs incurred by users of the road junctions. The objective of this study was about determining average waiting time of vehicles and estimating cost incurred due to delay at unsignalized double lane roundabouts and signalized cross intersections. In this study MMAS Cellular Automata model and Poisson queuing model were used. The study tried to calculate the average waiting time (delay) of vehicles in the system (in queue plus in service) at both types of road intersections. The study was tried to quantify vehicles waiting time at both types of road intersections (cost incurred due to delay); that is cost of time lost for passengers and cost of extra fuel consumed by vehicles. Based on the findings of the study, that is based on time and fuel lost (though other factors are not included), signalized cross intersections are better than roundabouts to minimize traffic congestion problem at road junctions.
VL  - 4
IS  - 4
ER  -

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Author Information

Tarekegn Mitiku Agajie

Department of Mathematics, Arba Minch University, Arba Minch, Ethiopia

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Plain Text BibTeX RIS

APA Style

Tarekegn Mitiku Agajie. (2015). Dynamical Systems and Network Flows: Traffic Flow Problem on Multi-lane Intersections (Economic Analysis). Applied and Computational Mathematics, 4(4), 321-330. https://doi.org/10.11648/j.acm.20150404.20

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ACS Style

Tarekegn Mitiku Agajie. Dynamical Systems and Network Flows: Traffic Flow Problem on Multi-lane Intersections (Economic Analysis). Appl. Comput. Math. 2015, 4(4), 321-330. doi: 10.11648/j.acm.20150404.20

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AMA Style

Tarekegn Mitiku Agajie. Dynamical Systems and Network Flows: Traffic Flow Problem on Multi-lane Intersections (Economic Analysis). Appl Comput Math. 2015;4(4):321-330. doi: 10.11648/j.acm.20150404.20

Copy | Download

@article{10.11648/j.acm.20150404.20,
  author = {Tarekegn Mitiku Agajie},
  title = {Dynamical Systems and Network Flows: Traffic Flow Problem on Multi-lane Intersections (Economic Analysis)},
  journal = {Applied and Computational Mathematics},
  volume = {4},
  number = {4},
  pages = {321-330},
  doi = {10.11648/j.acm.20150404.20},
  url = {https://doi.org/10.11648/j.acm.20150404.20},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20150404.20},
  abstract = {Nowadays due to rapid population growth and hence increasing demand for transportation, traffic congestion at road intersections become a serious problem for developed as well as developing countries. Traffic congestion causes considerable costs due to unproductive time losses, extra fuel consumption, accidents and also has a negative impact on the environment such as air pollution, noise and stress. Thus, economic analysis of multi-lane intersections and improvement alternatives take account of vehicles cost of fuel consumption and time costs incurred by users of the road junctions. The objective of this study was about determining average waiting time of vehicles and estimating cost incurred due to delay at unsignalized double lane roundabouts and signalized cross intersections. In this study MMAS Cellular Automata model and Poisson queuing model were used. The study tried to calculate the average waiting time (delay) of vehicles in the system (in queue plus in service) at both types of road intersections. The study was tried to quantify vehicles waiting time at both types of road intersections (cost incurred due to delay); that is cost of time lost for passengers and cost of extra fuel consumed by vehicles. Based on the findings of the study, that is based on time and fuel lost (though other factors are not included), signalized cross intersections are better than roundabouts to minimize traffic congestion problem at road junctions.},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - Dynamical Systems and Network Flows: Traffic Flow Problem on Multi-lane Intersections (Economic Analysis)
AU  - Tarekegn Mitiku Agajie
Y1  - 2015/07/29
PY  - 2015
N1  - https://doi.org/10.11648/j.acm.20150404.20
DO  - 10.11648/j.acm.20150404.20
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 321
EP  - 330
PB  - Science Publishing Group
SN  - 2328-5613
UR  - https://doi.org/10.11648/j.acm.20150404.20
AB  - Nowadays due to rapid population growth and hence increasing demand for transportation, traffic congestion at road intersections become a serious problem for developed as well as developing countries. Traffic congestion causes considerable costs due to unproductive time losses, extra fuel consumption, accidents and also has a negative impact on the environment such as air pollution, noise and stress. Thus, economic analysis of multi-lane intersections and improvement alternatives take account of vehicles cost of fuel consumption and time costs incurred by users of the road junctions. The objective of this study was about determining average waiting time of vehicles and estimating cost incurred due to delay at unsignalized double lane roundabouts and signalized cross intersections. In this study MMAS Cellular Automata model and Poisson queuing model were used. The study tried to calculate the average waiting time (delay) of vehicles in the system (in queue plus in service) at both types of road intersections. The study was tried to quantify vehicles waiting time at both types of road intersections (cost incurred due to delay); that is cost of time lost for passengers and cost of extra fuel consumed by vehicles. Based on the findings of the study, that is based on time and fuel lost (though other factors are not included), signalized cross intersections are better than roundabouts to minimize traffic congestion problem at road junctions.
VL  - 4
IS  - 4
ER  -

Copy | Download