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A Contribution to Theory of Traffic Flow
ISSN: 0148-7191, e-ISSN: 2688-3627
Published February 01, 1968 by SAE International in United States
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This paper presents an analysis of a car following model of general form: ẍn + 1 = A (ẋn -ẋn + 1)/(xn - xn + 1)m, where A and m are constants, xn + 1 is the position of the following car, xn the position of the followed car, ẋn + 1 and ẋn the corresponding velocities, and ẍn + 1 the acceleration of the following car. Several specific values of m are considered and their correlation with various traffic flow diagrams is established. Traffic flow in which all drivers, in line of vehicles, maintain a certain minimum safe distance is represented by the case, m = 0. The case, m = l, is shown to lead to a velocity-concentration curve due to Greenberg. The case, m = 2, is correlated with the rate of change of the visual perceptual angle of the follower and is shown to lead to Greenshields' velocity-concentration curve. Finally, the implications of the case when → ∞ are explored.
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CitationPipes, L. and Wojcik, C., "A Contribution to Theory of Traffic Flow," SAE Technical Paper 680171, 1968, https://doi.org/10.4271/680171.
- Greenshields B. D. “A Study of Traffic Capacity,” Proc. Highway Research Board 14 1935 448 477
- Wardrop F. G. “Experimental Speed-Flow Relations in a Single Lane,” Proceedings of the Second International Symposium on the Theory of Theory of Traffic London 1963 104 119
- Lighthill M. L. Whitham G. B. “On Kinematic Waves; II. A Theory of Traffic Flow on Long Crowded Roads,” Proc. Royal Society, Series A 229 May 1955 317 345
- Richards P. I. “Shock Waves on the Highway,” Journal of the Operations Research Soc 4 1956 42 51
- Haight F. A. “Mathematical Theories of Traffic Flow.” New York Academic Press 1963 69 87
- Pipes L. A. “An Operational Analysis of Traffic Dynamics,” J. Appl. Phys. 24 1953 274 281
- Pipes L. A. “Wave Theories of Traffic Flow,” Journal of the Franklin Institute 280 1 July 1965 23 41
- Chandler R. E. Herman R. Montroll E. W. “Traffic Dynamics; Studies in Car Following,” Operation Research 6 1958 165 184
- Herman R. Montroll E. W. Potts R. B. Rothery R. W. “Traffic Dynamics: Analysis of Stability in Car Following,” Operation Research 7 1959 86 106
- Michaels R. M. “Perceptual Factors in Car Following,” Proceedings of the Second International Symposium on the Theory of Traffic Flow London 1963 44 59
- Greenberg H. “An Analysis of Traffic Flow” Operation Research 7 1959 79 85
- Herman R. Rothery R. W. “Car Following and Steady State Flow.” Proceedings of Second International Symposium on the Theory of Traffic Flow London 1963 1 11