Stability Analysis Based on Instantaneous Driving Behavior Using Car-Following Data

Abstract

An attempt is made to analyze the stability of a platoon using experimental data measured by real-time kinematic (RTK) Global Positioning System (GPS) receivers. Car-following experiments were conducted on a test track using 10 passenger cars. Various speed patterns were tested for the lead car, including random, constant, and sinusoidal, giving different driving conditions. The responses of the following drivers were measured by RTK GPS receivers in each car. The stimulus–response car-following concept was examined, assuming that the reaction time might vary over time. A graphical method was modified to estimate the time-variant reaction time more efficiently. A new algorithm was proposed to estimate the sensitivity factor using Lissajou’s diagram between relative speed and acceleration. The statistical analysis showed that intrapersonal variability was higher than interpersonal variability for both reaction time and sensitivity factor. However, the influence of the driver’s position in the platoon and speed patterns was low. It was found that the reaction time was distributed in a lognormal function for most of the drivers. The variations in the estimated values for the sensitivity factor were relatively high. The stability analysis showed that the average responses of drivers were unstable both locally and asymptotically. The influence of speed fluctuation frequency was found insignificant for the stability of the platoon.

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References

Chandler

R. E.

, Herman

, and Montroll

E. W.

. Traffic Dynamics: Studies in Car Following. Operations Research, Vol. 6, 1958, pp. 165–184.

Gazis

D. C.

, Herman

, and Rothery

R. W.

. Non-Linear Follow the Leader Models of Traffic Flow. Operations Research, Vol. 9, No. 4, 1961, pp. 545–567.

Castello

J. M. D.

, Pintado

, and Benitz

F. G.

. The Reaction Time of Drivers and the Stability of Traffic Flow. Transportation Research, Vol. 28B, No. 1, 1994, pp. 35–60.

Ozaki

Reaction and Anticipation in the Car-Following Behavior. In Transportation and Traffic Theory: Proc., 12th International Symposium on the Theory of Traffic Flow and Transportation ( Daganzo

C. F.

, ed.), 1993, pp. 394–362.

Koppa

R. J.

Human Factors. In Special Report 165: Traffic Flow Theory: A State of the Art Report, TRB, National Research Council, Washington, D.C., 1976.

Gurusinghe

G. S.

, Nakatsuji

, Azuta

, Ranjitkar

, and Tanaboriboon

. Multiple Car-Following Data Using Real-Time Kinematic Global Positioning System. In Transportation Research Record: Journal of the Transportation Research Board, No. 1802, TRB, National Research Council, Washington, D.C., 2002, pp. 166–180.

Brackstone

, and McDonald

. Car-Following: A Historical Review. Transportation Research, Vol. 2F, No. 4, 1999, pp. 181–196.

Gurusinghe

G. S.

Development of Microscopic Car-Following Model with a New Concept. Doctoral dissertation. Asian Institute of Technology, Bangkok, Thailand, 2002.

Ranjitkar

, Nakatsuji

, Gurusinghe

G. S.

, and Azuta

. Car Following Experiments Using RTK GPS and Stability Characteristics of Followers in Platoon. Presented at the 7th International Conference on Applications of Advanced Technology in Transportation, Boston, 2002.

10.

Herman

, and Potts

R. B.

. Single Lane Traffic Theory and Experiment. In Proc., Symposium on Theory of Traffic Flow, General Motors Research Laboratories, Elsevier Publishing Co., 1959, pp. 120–146.

11.

Rothery

R. W.

, Silver

, Herman

, and Torner

. Analysis of Experiments on Single Lane Bus Flow. Operations Research, Vol. 12, No. 6, 1964, pp. 913–933.

12.

Ferrari

The Instability of Motorway Traffic. Transportation Research, Vol. 28B, 1994, pp. 175–186.

13.

Zhang

, and Jarrett

D. F.

. Stability Analysis of the Classical Car-Following Model. Transportation Research, Vol. 31B, No. 6, 1997, pp. 441–462.

14.

Holland

E. N.

A Generalized Stability Criterion for Motorway Traffic. Transportation Research, Vol. 32B, No. 2, 1996, pp. 141–154.

15.

Aycin

M. F.

, and Benekohal

R. F.

. Analysis of Stability and Performance of Car Following Models in Congested Traffic. Presented at the 79th Annual Meeting of the Transportation Research Board, Washington, D.C., 2000.