Incorporating mean-field velocity difference in a continuum macroscopic traffic flow model for adverse road conditions
In developing countries, the quality of driving infrastructure, specifically road conditions, is often suboptimal, presenting challenges and limitations for motorists. However, current traffic flow models have limitations in addressing problems caused by poor road networks. To address this issue, a...
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| Format: | Article |
| Language: | English |
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Western Libraries
2024-11-01
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| Series: | Mathematics in Applied Sciences and Engineering |
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| Online Access: | https://ojs.lib.uwo.ca/index.php/mase/article/view/18033 |
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| _version_ | 1841560711591886848 |
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| author | Gabriel Obed Fosu Dickson Anokye Albert Adu-Sackey Bright Emmanuel Owusu |
| author_facet | Gabriel Obed Fosu Dickson Anokye Albert Adu-Sackey Bright Emmanuel Owusu |
| author_sort | Gabriel Obed Fosu |
| collection | DOAJ |
| description |
In developing countries, the quality of driving infrastructure, specifically road conditions, is often suboptimal, presenting challenges and limitations for motorists. However, current traffic flow models have limitations in addressing problems caused by poor road networks. To address this issue, a new macroscopic traffic flow model has been proposed in this study that considers mean-field velocity differences on roads with suboptimal conditions. A thorough model derivation of this new macroscopic traffic flow model is presented. The study establishes crucial stability conditions, providing profound insights into traffic dynamics across diverse scenarios. Numerical simulations are presented to demonstrate the model's ability to capture shock waves, rarefaction waves, and local cluster effects. The study results offer new insights into traffic dynamics in adverse road conditions and enforce the need to enhance road infrastructure to alleviate congestion and enhance road safety.
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| format | Article |
| id | doaj-art-82deb9dac4944ebe8214ad9d1b115b49 |
| institution | Kabale University |
| issn | 2563-1926 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Western Libraries |
| record_format | Article |
| series | Mathematics in Applied Sciences and Engineering |
| spelling | doaj-art-82deb9dac4944ebe8214ad9d1b115b492025-01-03T18:35:35ZengWestern LibrariesMathematics in Applied Sciences and Engineering2563-19262024-11-015410.5206/mase/18033Incorporating mean-field velocity difference in a continuum macroscopic traffic flow model for adverse road conditionsGabriel Obed FosuDickson Anokye Albert Adu-SackeyBright Emmanuel Owusu In developing countries, the quality of driving infrastructure, specifically road conditions, is often suboptimal, presenting challenges and limitations for motorists. However, current traffic flow models have limitations in addressing problems caused by poor road networks. To address this issue, a new macroscopic traffic flow model has been proposed in this study that considers mean-field velocity differences on roads with suboptimal conditions. A thorough model derivation of this new macroscopic traffic flow model is presented. The study establishes crucial stability conditions, providing profound insights into traffic dynamics across diverse scenarios. Numerical simulations are presented to demonstrate the model's ability to capture shock waves, rarefaction waves, and local cluster effects. The study results offer new insights into traffic dynamics in adverse road conditions and enforce the need to enhance road infrastructure to alleviate congestion and enhance road safety. https://ojs.lib.uwo.ca/index.php/mase/article/view/18033Vehicular Traffic FlowLWR modelDynamic Velocity EquationPotholesMean-Field Speed |
| spellingShingle | Gabriel Obed Fosu Dickson Anokye Albert Adu-Sackey Bright Emmanuel Owusu Incorporating mean-field velocity difference in a continuum macroscopic traffic flow model for adverse road conditions Mathematics in Applied Sciences and Engineering Vehicular Traffic Flow LWR model Dynamic Velocity Equation Potholes Mean-Field Speed |
| title | Incorporating mean-field velocity difference in a continuum macroscopic traffic flow model for adverse road conditions |
| title_full | Incorporating mean-field velocity difference in a continuum macroscopic traffic flow model for adverse road conditions |
| title_fullStr | Incorporating mean-field velocity difference in a continuum macroscopic traffic flow model for adverse road conditions |
| title_full_unstemmed | Incorporating mean-field velocity difference in a continuum macroscopic traffic flow model for adverse road conditions |
| title_short | Incorporating mean-field velocity difference in a continuum macroscopic traffic flow model for adverse road conditions |
| title_sort | incorporating mean field velocity difference in a continuum macroscopic traffic flow model for adverse road conditions |
| topic | Vehicular Traffic Flow LWR model Dynamic Velocity Equation Potholes Mean-Field Speed |
| url | https://ojs.lib.uwo.ca/index.php/mase/article/view/18033 |
| work_keys_str_mv | AT gabrielobedfosu incorporatingmeanfieldvelocitydifferenceinacontinuummacroscopictrafficflowmodelforadverseroadconditions AT dicksonanokye incorporatingmeanfieldvelocitydifferenceinacontinuummacroscopictrafficflowmodelforadverseroadconditions AT albertadusackey incorporatingmeanfieldvelocitydifferenceinacontinuummacroscopictrafficflowmodelforadverseroadconditions AT brightemmanuelowusu incorporatingmeanfieldvelocitydifferenceinacontinuummacroscopictrafficflowmodelforadverseroadconditions |