Traffic Dynamics: Analysis of Stability in Car Following

Robert Herman, Elliott W. Montroll, Renfrey B. Potts and Richard W. Rothery
Additional contact information
Robert Herman: Research Laboratories, General Motors Corporation, Detroit, Michigan
Elliott W. Montroll: Research Laboratories, General Motors Corporation, Detroit, Michigan
Renfrey B. Potts: Research Laboratories, General Motors Corporation, Detroit, Michigan
Richard W. Rothery: Research Laboratories, General Motors Corporation, Detroit, Michigan

Operations Research, 1959, vol. 7, issue 1, 86-106

Abstract: The manner in which vehicles follow each other on a highway (without passing) and the propagation of disturbances down a line of vehicles has been investigated further. Criteria are derived for both local and asymptotic stability in a chain of vehicles. The influence of next nearest neighbors as well as a statistical theory of stability is discussed. “Acceleration noise” is proposed as a parameter that might be employed to characterize the driver-car-road complex under various conditions. Some preliminary experimental measurements of acceleration noise are discussed.

Date: 1959
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