The automobile is a pervasive feature of modern technological societies despite its accompanying problems of pollution, accidents, and congestion. In the last 25 years a vast amount of literature has been published which we might classify as “traffic science.” This science has attempted to understand through modeling and data gathering the traffic processes and how to modify, optimize, and control them.
KeywordsTraffic Flow Oscillatory Response Lead Vehicle Instantaneous Acceleration Front Bumper
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- R. E. Chandler, R. Herman, and E. W. Montroll, “Traffic dynamics: Studies in car-following,” Operations Res., vol. 6, pp. 165–184, 1958. First paper on stability theory; develops asymptotic stability for a number of models; higher level than present module, but accessible to better students with some complex variable background.MathSciNetCrossRefGoogle Scholar
- D. R. Drew, Traffic Flow Theory and Control. New York: McGraw-Hill, 1968. A book on many aspects of traffic science besides car-following; lots of practical examples, many topics accessible to undergraduates.Google Scholar
- Denos C. Gazis, “Traffic flow and control: Theory and applications,” Amer.Scientist, vol. 60, no. 4, pp. 415–424, 1972. A survey article on traffic science, like a Scientific American article.Google Scholar
- Robert Herman and R. B. Potts, Single-Lane Traffic Theory and Experiment, Theory of Traffic Flow. Amsterdam: Elsevier, 1961, pp. 120–146. Very readable summary of car-following without too many technical details; good source of experimental results.Google Scholar
- W. E. Wilhelm and J. W. Schmidt, “Review of car-following theory,” Transportation Engineering J. of ASCE, vol. 99, no. TE4, pp. 923–931, 1973. A bibliographic survey; easily read by students.Google Scholar