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Cited by 1,311

The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.

An Operational Analysis of Traffic Dynamics

Pipes, Louis A.·1953·Journal of Applied Physics

Abstract

The dynamics of a line of traffic composed of n vehicles is studied mathematically. It is postulated that the movements of the several vehicles are controlled by an idealized ``law of separation.'' The law considered in the analysis specifies that each vehicle must maintain a certain prescribed ``following distance'' from the preceding vehicle. This distance is the sum of a distance proportional to the velocity of the following vehicle and a certain given minimum distance of separation when the vehicles are at rest. By the application of this postulated law to the motion of the column of vehicles, the differential equations governing the dynamic state of the system are obtained. The solution of the dynamical equations for several assumed types of motion of the leading vehicle is effected by the operational or Laplace transform method and the velocities and accelerations of the various vehicles are thus obtained. Consideration is given to the use of an electrical analog computer for studying the dynamical equations of the system.

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Metadata

Authors
Pipes, L. A.
Venue
Journal of Applied Physics
Published
1953-03-01
Volume
24
Issue
3
Pages
274-281
ISSN
  • 0021-8979 (ISSN-L)
  • 1089-7550
OpenAlex
W2077679034
Cited by
1,311
References
3
FWCI
5.15
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: An Operational Analysis of Traffic Dynamics. https://app.cochat.ai/papers/10.1063/1.1721265
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Pipes, L. A. (1953). An Operational Analysis of Traffic Dynamics. Journal of Applied Physics. https://doi.org/10.1063/1.1721265

Data sources

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.