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A review of the mathematical models for traffic flow

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Abstract

In this paper, we critically review mathematical models for the flow of traffic that treat traffic as a continuum and provide a discussion of their shortcomings. We also review a spatially discrete traffic flow model that does not suffer from such shortcomings and provide recently collected, corroborating data for a trip-time estimation scheme based on the spatially discrete model.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Texas A&M University, College Station, TX, 77843-3123, USA

    V. Tyagi, S. Darbha & K. R. Rajagopal

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  1. V. Tyagi
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  2. S. Darbha
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  3. K. R. Rajagopal
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Correspondence to S. Darbha.

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Tyagi, V., Darbha, S. & Rajagopal, K.R. A review of the mathematical models for traffic flow. Int J Adv Eng Sci Appl Math 1, 53–68 (2009). https://doi.org/10.1007/s12572-009-0005-8

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