Euler and Lagrange Representation of Traffic Models

K. Nishinari
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K. Nishinari: Ryukoku University, Department of Applied Mathematics and Informatics

A chapter in Traffic and Granular Flow’01, 2003, pp 3-12 from Springer

Abstract: Abstract The relations among different traffic models are studied by using the ultra-discrete method and the Euler-Lagrange transformation. It is found that the Burgers CA(BCA) in the Euler form can be transformed into the Lagrange form by using the formulae of the max-algebra. It is also shown that the Lagrange model is related to the optimal velocity model, the slow-to-start model and the Nagel-Schreckenberg model. Moreover, a new hybrid Lagrange model is proposed by extending the BCA, which shows a complex phase transition from free to a jamming state.

Keywords: Traffic Flow; Lagrange Form; Traffic Model; Lagrange Model; Euler Form (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-10583-2_1

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DOI: 10.1007/978-3-662-10583-2_1

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