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Traffic Dynamics: Analysis of Stability in Car Following

Author

Listed:
  • 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)

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.

Suggested Citation

  • Robert Herman & Elliott W. Montroll & Renfrey B. Potts & Richard W. Rothery, 1959. "Traffic Dynamics: Analysis of Stability in Car Following," Operations Research, INFORMS, vol. 7(1), pages 86-106, February.
    • Handle: RePEc:inm:oropre:v:7:y:1959:i:1:p:86-106
    DOI: 10.1287/opre.7.1.86
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