Diverse reactivity model for traffic flow dynamics in Eulerian scope
Abstract In this study, a new continuum traffic model is established in consideration of the diverse reactivity effect that emerges from driving attention and the vehicle’s inertia. To instigate this diverse reactivity effect, two new functions are introduced, namely a driver’s sensitivity function...
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| Autor*in: |
Hossain, Md. Anowar [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2023 |
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© The Author(s), under exclusive licence to Springer Nature B.V. 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
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Enthalten in: Nonlinear dynamics - Springer Netherlands, 1990, 111(2023), 18 vom: 21. Juli, Seite 17369-17378 |
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| Übergeordnetes Werk: |
volume:111 ; year:2023 ; number:18 ; day:21 ; month:07 ; pages:17369-17378 |
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| DOI / URN: |
10.1007/s11071-023-08734-x |
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| 520 | |a Abstract In this study, a new continuum traffic model is established in consideration of the diverse reactivity effect that emerges from driving attention and the vehicle’s inertia. To instigate this diverse reactivity effect, two new functions are introduced, namely a driver’s sensitivity function relying on the flow field’s instantaneous density that follows a reverse tendency of optimal velocity function and an inertial equilibrium velocity function assuming the vehicle’s inertia coefficient. Comparative analysis is performed using the proposed model and the conventional full velocity difference model. To ascertain the flow field neutralization capability of this model, a neutral stability analysis and the attendant neutral stability condition are derived. The complex behavior of the model near the critical point is investigated via nonlinear analysis, and the wavy solution of the Korteweg–de Vries–Burgers equation is obtained. To verify the analytical solution, a numerical simulation is performed, with the results demonstrating excellent agreement with the obtained theoretical results. | ||
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| 650 | 4 | |a Driver's attitudes effect | |
| 650 | 4 | |a Microscopic traffic flow model | |
| 700 | 1 | |a Tanimoto, Jun |4 aut | |
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10.1007/s11071-023-08734-x doi (DE-627)OLC2145090304 (DE-He213)s11071-023-08734-x-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Hossain, Md. Anowar verfasserin aut Diverse reactivity model for traffic flow dynamics in Eulerian scope 2023 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In this study, a new continuum traffic model is established in consideration of the diverse reactivity effect that emerges from driving attention and the vehicle’s inertia. To instigate this diverse reactivity effect, two new functions are introduced, namely a driver’s sensitivity function relying on the flow field’s instantaneous density that follows a reverse tendency of optimal velocity function and an inertial equilibrium velocity function assuming the vehicle’s inertia coefficient. Comparative analysis is performed using the proposed model and the conventional full velocity difference model. To ascertain the flow field neutralization capability of this model, a neutral stability analysis and the attendant neutral stability condition are derived. The complex behavior of the model near the critical point is investigated via nonlinear analysis, and the wavy solution of the Korteweg–de Vries–Burgers equation is obtained. To verify the analytical solution, a numerical simulation is performed, with the results demonstrating excellent agreement with the obtained theoretical results. Vehicle's inertia effect Driver's attitudes effect Microscopic traffic flow model Tanimoto, Jun aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 111(2023), 18 vom: 21. Juli, Seite 17369-17378 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:111 year:2023 number:18 day:21 month:07 pages:17369-17378 https://doi.org/10.1007/s11071-023-08734-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT AR 111 2023 18 21 07 17369-17378 |
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10.1007/s11071-023-08734-x doi (DE-627)OLC2145090304 (DE-He213)s11071-023-08734-x-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Hossain, Md. Anowar verfasserin aut Diverse reactivity model for traffic flow dynamics in Eulerian scope 2023 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In this study, a new continuum traffic model is established in consideration of the diverse reactivity effect that emerges from driving attention and the vehicle’s inertia. To instigate this diverse reactivity effect, two new functions are introduced, namely a driver’s sensitivity function relying on the flow field’s instantaneous density that follows a reverse tendency of optimal velocity function and an inertial equilibrium velocity function assuming the vehicle’s inertia coefficient. Comparative analysis is performed using the proposed model and the conventional full velocity difference model. To ascertain the flow field neutralization capability of this model, a neutral stability analysis and the attendant neutral stability condition are derived. The complex behavior of the model near the critical point is investigated via nonlinear analysis, and the wavy solution of the Korteweg–de Vries–Burgers equation is obtained. To verify the analytical solution, a numerical simulation is performed, with the results demonstrating excellent agreement with the obtained theoretical results. Vehicle's inertia effect Driver's attitudes effect Microscopic traffic flow model Tanimoto, Jun aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 111(2023), 18 vom: 21. Juli, Seite 17369-17378 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:111 year:2023 number:18 day:21 month:07 pages:17369-17378 https://doi.org/10.1007/s11071-023-08734-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT AR 111 2023 18 21 07 17369-17378 |
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10.1007/s11071-023-08734-x doi (DE-627)OLC2145090304 (DE-He213)s11071-023-08734-x-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Hossain, Md. Anowar verfasserin aut Diverse reactivity model for traffic flow dynamics in Eulerian scope 2023 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In this study, a new continuum traffic model is established in consideration of the diverse reactivity effect that emerges from driving attention and the vehicle’s inertia. To instigate this diverse reactivity effect, two new functions are introduced, namely a driver’s sensitivity function relying on the flow field’s instantaneous density that follows a reverse tendency of optimal velocity function and an inertial equilibrium velocity function assuming the vehicle’s inertia coefficient. Comparative analysis is performed using the proposed model and the conventional full velocity difference model. To ascertain the flow field neutralization capability of this model, a neutral stability analysis and the attendant neutral stability condition are derived. The complex behavior of the model near the critical point is investigated via nonlinear analysis, and the wavy solution of the Korteweg–de Vries–Burgers equation is obtained. To verify the analytical solution, a numerical simulation is performed, with the results demonstrating excellent agreement with the obtained theoretical results. Vehicle's inertia effect Driver's attitudes effect Microscopic traffic flow model Tanimoto, Jun aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 111(2023), 18 vom: 21. Juli, Seite 17369-17378 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:111 year:2023 number:18 day:21 month:07 pages:17369-17378 https://doi.org/10.1007/s11071-023-08734-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT AR 111 2023 18 21 07 17369-17378 |
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10.1007/s11071-023-08734-x doi (DE-627)OLC2145090304 (DE-He213)s11071-023-08734-x-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Hossain, Md. Anowar verfasserin aut Diverse reactivity model for traffic flow dynamics in Eulerian scope 2023 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In this study, a new continuum traffic model is established in consideration of the diverse reactivity effect that emerges from driving attention and the vehicle’s inertia. To instigate this diverse reactivity effect, two new functions are introduced, namely a driver’s sensitivity function relying on the flow field’s instantaneous density that follows a reverse tendency of optimal velocity function and an inertial equilibrium velocity function assuming the vehicle’s inertia coefficient. Comparative analysis is performed using the proposed model and the conventional full velocity difference model. To ascertain the flow field neutralization capability of this model, a neutral stability analysis and the attendant neutral stability condition are derived. The complex behavior of the model near the critical point is investigated via nonlinear analysis, and the wavy solution of the Korteweg–de Vries–Burgers equation is obtained. To verify the analytical solution, a numerical simulation is performed, with the results demonstrating excellent agreement with the obtained theoretical results. Vehicle's inertia effect Driver's attitudes effect Microscopic traffic flow model Tanimoto, Jun aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 111(2023), 18 vom: 21. Juli, Seite 17369-17378 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:111 year:2023 number:18 day:21 month:07 pages:17369-17378 https://doi.org/10.1007/s11071-023-08734-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT AR 111 2023 18 21 07 17369-17378 |
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10.1007/s11071-023-08734-x doi (DE-627)OLC2145090304 (DE-He213)s11071-023-08734-x-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Hossain, Md. Anowar verfasserin aut Diverse reactivity model for traffic flow dynamics in Eulerian scope 2023 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In this study, a new continuum traffic model is established in consideration of the diverse reactivity effect that emerges from driving attention and the vehicle’s inertia. To instigate this diverse reactivity effect, two new functions are introduced, namely a driver’s sensitivity function relying on the flow field’s instantaneous density that follows a reverse tendency of optimal velocity function and an inertial equilibrium velocity function assuming the vehicle’s inertia coefficient. Comparative analysis is performed using the proposed model and the conventional full velocity difference model. To ascertain the flow field neutralization capability of this model, a neutral stability analysis and the attendant neutral stability condition are derived. The complex behavior of the model near the critical point is investigated via nonlinear analysis, and the wavy solution of the Korteweg–de Vries–Burgers equation is obtained. To verify the analytical solution, a numerical simulation is performed, with the results demonstrating excellent agreement with the obtained theoretical results. Vehicle's inertia effect Driver's attitudes effect Microscopic traffic flow model Tanimoto, Jun aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 111(2023), 18 vom: 21. Juli, Seite 17369-17378 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:111 year:2023 number:18 day:21 month:07 pages:17369-17378 https://doi.org/10.1007/s11071-023-08734-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT AR 111 2023 18 21 07 17369-17378 |
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Abstract In this study, a new continuum traffic model is established in consideration of the diverse reactivity effect that emerges from driving attention and the vehicle’s inertia. To instigate this diverse reactivity effect, two new functions are introduced, namely a driver’s sensitivity function relying on the flow field’s instantaneous density that follows a reverse tendency of optimal velocity function and an inertial equilibrium velocity function assuming the vehicle’s inertia coefficient. Comparative analysis is performed using the proposed model and the conventional full velocity difference model. To ascertain the flow field neutralization capability of this model, a neutral stability analysis and the attendant neutral stability condition are derived. The complex behavior of the model near the critical point is investigated via nonlinear analysis, and the wavy solution of the Korteweg–de Vries–Burgers equation is obtained. To verify the analytical solution, a numerical simulation is performed, with the results demonstrating excellent agreement with the obtained theoretical results. © The Author(s), under exclusive licence to Springer Nature B.V. 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
| abstractGer |
Abstract In this study, a new continuum traffic model is established in consideration of the diverse reactivity effect that emerges from driving attention and the vehicle’s inertia. To instigate this diverse reactivity effect, two new functions are introduced, namely a driver’s sensitivity function relying on the flow field’s instantaneous density that follows a reverse tendency of optimal velocity function and an inertial equilibrium velocity function assuming the vehicle’s inertia coefficient. Comparative analysis is performed using the proposed model and the conventional full velocity difference model. To ascertain the flow field neutralization capability of this model, a neutral stability analysis and the attendant neutral stability condition are derived. The complex behavior of the model near the critical point is investigated via nonlinear analysis, and the wavy solution of the Korteweg–de Vries–Burgers equation is obtained. To verify the analytical solution, a numerical simulation is performed, with the results demonstrating excellent agreement with the obtained theoretical results. © The Author(s), under exclusive licence to Springer Nature B.V. 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
| abstract_unstemmed |
Abstract In this study, a new continuum traffic model is established in consideration of the diverse reactivity effect that emerges from driving attention and the vehicle’s inertia. To instigate this diverse reactivity effect, two new functions are introduced, namely a driver’s sensitivity function relying on the flow field’s instantaneous density that follows a reverse tendency of optimal velocity function and an inertial equilibrium velocity function assuming the vehicle’s inertia coefficient. Comparative analysis is performed using the proposed model and the conventional full velocity difference model. To ascertain the flow field neutralization capability of this model, a neutral stability analysis and the attendant neutral stability condition are derived. The complex behavior of the model near the critical point is investigated via nonlinear analysis, and the wavy solution of the Korteweg–de Vries–Burgers equation is obtained. To verify the analytical solution, a numerical simulation is performed, with the results demonstrating excellent agreement with the obtained theoretical results. © The Author(s), under exclusive licence to Springer Nature B.V. 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
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| title_short |
Diverse reactivity model for traffic flow dynamics in Eulerian scope |
| url |
https://doi.org/10.1007/s11071-023-08734-x |
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| author2 |
Tanimoto, Jun |
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Tanimoto, Jun |
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