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Table 1 Traffic model comparison
From: A macroscopic traffic model for traffic flow harmonization
Term | KG model | PW model | Proposed model | Zhang model |
|---|---|---|---|---|
Anticipation | \( \rho \frac{\partial }{\partial x}\left(\frac{\upsilon^2\left(\rho \right)-{\upsilon}^2}{2{d}_{tr}}\right){\rho}_x \) | \( \rho {C}_0^2{\rho}_x \) | \( \rho \frac{\partial }{\partial x}\left(\frac{\upsilon^2\left(\rho \right)-{\upsilon}^2}{2{d}_{tr}}\right){\rho}_x \) | \( \frac{{\left(\rho \frac{\partial v\left(\rho \right)}{\partial \rho}\right)}^2}{\rho }{\rho}_x \) |
Relaxation | \( \rho \frac{\upsilon \left(\rho \right)-\upsilon }{\tau } \) | \( \rho \frac{\upsilon \left(\rho \right)-\upsilon }{\tau } \) | \( \rho \left(\frac{\upsilon^2\left(\rho \right)-{\upsilon}^2}{b{\upsilon}_s}\right) \) | \( \rho \frac{\upsilon \left(\rho \right)-\upsilon }{\tau } \) |