On the Car-Following Theory
AbstractThe article deals with bumper-to-bumper driving. A .systemicapproach to car-following (bumper-to-bumper driving)i.s described and the mathematical model has been developedand solved. With this approach an algorithm for analytical andnumerical solutions has been developed.
Banvell, F.T.: Automation and Control in Transport,
Pergamon Press Ltd., 1973.
Batista, M., Bogataj, L.: Analytical approach to logistic
perturbations in communication and transportation delays,
th International scientific and professional conference
on traffic management, Proceedings, pp. 75-80,
Batista, M., Usenik, J,: On analitycal solution of
differential-delay equation, SOR 97, Kranj, 1977.
Gazis, D. G., Herman, R., Renfrey, B. P.: Car-following
theory of steady-state traffic flow , Operations research,
, 7, pp. 499-505.
Gazis, D. G., Herman, R., Rothery, R. W.: Nonlinear
follow-the-leader models of traffic flow , Operation research,
, 9, pp. 545-567.
Jessop, A.: Decision and Forecasting Models With Transport
Applications, Ellis Horwood Ltd, England, 1990.
Leutzbach, W.: Introduction to the Theory of Traffic
Flow, Springer- Verlag Berlin, Heidelberg, 1988.
Pipes, L.A.:An Operational Analysis of Traffic Dynamics,
Journal of applied physics, V. 24, Number 3, 1953,
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