A Critical Analysis of Multi-Regime Fundamental Equations

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.

Modeling road surface potholes within the macroscopic flow framework

“…The three main aggregate variables required for macroscopic analysis are traffic density k(x, t), average speed u(x, t), and traffic flow rate q(x, t). Two classical traffic equations relate these variables; the hydrodynamic equation, and the continuity or LWR equation [1,11]. The hydrodynamic equation is expressed mathematically as:…”