Nonlinear Follow-the-Leader Models of Traffic Flow

Denos C. Gazis, Robert Herman and Richard W. Rothery
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Denos C. Gazis: Research Laboratories, General Motors Corporation, Warren, Michigan
Robert Herman: Research Laboratories, General Motors Corporation, Warren, Michigan
Richard W. Rothery: Research Laboratories, General Motors Corporation, Warren, Michigan

Operations Research, 1961, vol. 9, issue 4, 545-567

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.

Date: 1961
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