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Phase diagram of a continuum traffic flow model with a static bottleneck

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Abstract

The phase transitions are investigated in a continuum speed-gradient model with a static bottleneck under open boundary conditions. The bottleneck situation has been studied using two different approaches—explicit and implicit. The phase diagrams showing different traffic states are presented. The effect of strength of bottleneck has been analyzed, and it is found that the strength parameter has no qualitative effect in the explicit case while has considerable effect in the implicit case. Furthermore, the results of both the approaches are compared, and the consistency between them is discussed.

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Acknowledgments

The second author acknowledges CSIR, New Delhi, India, for providing financial assistance.

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology Ropar, Rupnagar, 140001, Punjab, India

    Arvind Kumar Gupta & Isha Dhiman

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  1. Arvind Kumar Gupta
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  2. Isha Dhiman
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Correspondence to Arvind Kumar Gupta.

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Gupta, A.K., Dhiman, I. Phase diagram of a continuum traffic flow model with a static bottleneck. Nonlinear Dyn 79, 663–671 (2015). https://doi.org/10.1007/s11071-014-1693-6

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  • DOI: https://doi.org/10.1007/s11071-014-1693-6

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