THE TWO-CAPACITY PHENOMENON: SOME THEORETICAL ISSUES

Theoretical issues related to two phenomena observed in a study of four freeway bottlenecks in San Diego are addressed. It was observed that flow immediately downstream of the bottlenecks decreased by a small amount when it broke down and that flow breakdown appeared to be triggered by speed instability. Most of the flow decrease could be attributed to the increase in vehicle passage time that occurs when speeds decrease, and most of the San Diego data are compatible with the linear car-following model of Chandler et al. as extended by Bexelius, although a number of questions about the validity and applicability of this model remain.

[1]  M J Lighthill,et al.  On kinematic waves II. A theory of traffic flow on long crowded roads , 1955, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[2]  E. Montroll,et al.  Traffic Dynamics: Studies in Car Following , 1958 .

[3]  R S Foote,et al.  TRAFFIC FLOW IN TUNNELS , 1958 .

[4]  Robert Herman,et al.  Traffic Dynamics: Analysis of Stability in Car Following , 1959 .

[5]  D. Gazis,et al.  Nonlinear Follow-the-Leader Models of Traffic Flow , 1961 .

[6]  G. F. Newell Nonlinear Effects in the Dynamics of Car Following , 1961 .

[7]  L. C. Edie Car-Following and Steady-State Theory for Noncongested Traffic , 1961 .

[8]  Joseph L. Schofer,et al.  A STATISTICAL ANALYSIS OF SPEED-DENSITY HYPOTHESES , 1965 .

[9]  Sten Bexelius,et al.  An extended model for car-following , 1968 .

[10]  T. W. Forbes,et al.  Driver-and-Vehiele Response in Freeway Deceleration Waves , 1968 .

[11]  H. Mika,et al.  DUAL MODE BEHAVIOR OF FREEWAY TRAFFIC , 1969 .

[12]  R. Rothery,et al.  The Spectral Analysis of Speed Fluctuations on a Freeway , 1970 .

[13]  G. F. Newell,et al.  Three-Dimensional Representation of Traffic Flow , 1971 .

[14]  Agr Bullen,et al.  MULTIPLE RAMP CONTROL FOR A FREEWAY BOTTLENECK , 1973 .

[15]  Paul Wasielewski,et al.  An Integral Equation for the Semi-Poisson Headway Distribution Model , 1974 .

[16]  J Treiterer,et al.  THE HYSTERESIS PHENOMENON IN TRAFFIC FLOW , 1974 .

[17]  V F Hurdle,et al.  SPEEDS AND FLOWS ON AN URBAN FREEWAY: SOME MEASUREMENTS AND A HYPOTHESIS , 1983 .

[18]  R D Kuehne,et al.  MACROSCOPIC FREEWAY MODEL FOR DENSE TRAFFIC - STOP-START WAVES AND INCIDENT DETECTION , 1984 .

[19]  E Hauer,et al.  A TRAFFIC FLOW MODEL WITH TIME DEPENDENT O-D PATTERNS , 1984 .

[20]  黒田 孝次,et al.  Highway Capacity Manual改訂の動向--テイラ-教授の講演より , 1984 .

[21]  Howard J Payne,et al.  DISCONTINUITY IN EQUILIBRIUM FREEWAY TRAFFIC FLOW , 1984 .

[22]  Brian L Allen,et al.  Empirical analysis of freeway flow-density relationships , 1986 .

[23]  J H Banks EVALUATION OF THE TWO-CAPACITY PHENOMENON AS A BASIS FOR RAMP METERING. FINAL REPORT , 1990 .

[24]  Javrns,et al.  Flow Processes at a Freeway Bottleneck , 2022 .