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Research Article Open access CC BY 4.0

A Critical Analysis of Multi-Regime Fundamental Equations

Emmanuel Akweittey, Gabriel O. Fosu

Journal of Engineering Research and Reports · pp. 1–8 · Published 8 Aug 2019

10.9734/jerr/2019/v6i416955

Abstract

Aims/ Objectives: Multi-regime fundamental models use two or more equations to describe the association among the main maroscopic traffic variables encountered in traffic analysis. The paper investigates specific properties of some multi-phase speed-density equations.  Methodology: It first compares the characteristics of each of these equations by solving the nonlinear continuity traffic equation.  Results: It was observed that predicting vehicular trajectories with these model equations could lead to misinformation. The kinematic wave and stable shockwave properties of these models were also ascertained.  Conclusion: Based on the results, it was concluded that it would be more cumbersome to explain nonlinear traffic characteristics when these two and three regime models are adopted.

Speed-density equation characteristic curves multi-regime models continuity equation.

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