Nonlinear Follow-the-Leader Models of Traffic Flow

TLDR

Nonlinear follow‑the‑leader traffic models are reviewed using observational and experimental data. The study explores possible causes of bimodal flow‑concentration curves on multilane highways. The analysis focuses on steady‑state flow equations. The study identifies trends favoring some follow‑the‑leader functionals but concludes that additional data are required to confirm a clear model superiority.

Abstract

A variety of nonlinear follow-the-leader models of traffic flow are discussed in the light of available observational and experimental data. Emphasis is placed on steady-state flow equations. Some trends regarding the advantages of certain follow-the-leader functionals over others are established. However, it is found from extensive correlation studies that more data are needed before one can establish the unequivocal superiority of one particular model. A discussion is given of some ideas concerning the possible reasons for the existence of a bimodal flow versus concentration curve especially for multilane highways.