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Car-Following Theory of Steady-State Traffic Flow

Denos C. Gazis, Robert Herman, Renfrey B. Potts

Operations Research · 1959 · Volume 7 · Issue 4

DOI: 10.1287/opre.7.4.499

Abstract

The steady-state flow is examined for a car-following model in which the acceleration at time t of a car attempting to follow a lead car is proportional to the relative velocity at a time t − Δ and in which the sensitivity λ is no longer taken constant as in previous work but is inversely proportional to the car spacing. The characteristics of the steady-state flow for this model are described and compared with experimental data.

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