Abstract
In learning to drive, an individual must learn to rapidly make small corrective turns to the right or to the left as the car comes too close correspondingly to the left or to the right edges of the lane. The magnitude of the corrective turn depends on the angle at which the edge is approached. Thus, the individual must learn to produce a quantitatively correct response (corrective turn) to any one of an infinite number of possible stimuli (angles of approach). By making a number of highly oversimplifying assumptions, the problem can be reduced to a learning situation, studied previously by H. D. Landahl (Bull. Math. Biophysic,3, 13–26, 71–77, 1941). This is used not so much to obtain any relation that might be considered practically applicable immediately as toillustrate what kind of relation can be obtained from such considerations. It is shown how the safe speed of a driver depends on his total driving experience (total distance driven) as well as on his psychophysical parameters.
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Literature
Landahl, H. D. 1938. “A Contribution to the Mathematical Biophysics of Psychophysical Discrimination.”Psychometrika,3, 107–125.
— 1941a. “Studies in the Mathematical Biophysics of Discrimination and Conditioning: I.”Bull. Math. Biophysics,3, 13–26.
— 1941b. “Studies in the Mathematical Biophysics of Discrimination and Conditioning: II. Special Case: Errors, Trials, and Number of Possible Responses.”Ibid.,3, 71–77.
Rashevsky, N. 1959a. “Some Remarks on the Mathematical Aspects of Automobile Driving.”Bull. Math. Biophysics,21, 299–308.
— 1959b. “Mathematical Biophysics of Automobile Driving.”Ibid.,21, 375–385.
— 1960a. “Further Contributions to the Mathematical Biophysics of Automobile Driving.”Ibid.,22, 257–262.
— 1960b. “A Contribution to the Mathematical Biology of Automobile Driving: II. Passing as a Case of Psychophysical Discrimination”.Ibid.,22, 263–267.
— 1960c.Mathematical Biophysics, 3rd and Rev. Ed., Vol. II. New York: Dover Publications, Inc.
— 1961. “Contribution to the Mathematical Biophysics of Automobile Driving.”Bull. Math. Biophysics,23, 19–29.
— 1962. “Automobile Driving as Psychophysical Discrimination.”Ibid.,24, 319–325.
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Rashevsky, N. Mathematical biology of learning to drive an automobile. Bulletin of Mathematical Biophysics 25, 51–58 (1963). https://doi.org/10.1007/BF02477770
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DOI: https://doi.org/10.1007/BF02477770