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Letter to the Editor---A Mathematical Model for Platoon Formation

Stephen Kleinman
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Stephen Kleinman: The City College of the City University of New York, New York, New York

Transportation Science, 1972, vol. 6, issue 2, 202-204

Abstract: Under single-lane no-passing conditions it may be assumed that a vehicle's actual speed s i is given by s i = min[ v 1 , v 2 , ..., v i ], where the v j represent the desired speeds of the vehicles ahead. If the desired speeds are assumed to be identically distributed random variables then several properties of the resulting platoon structures are independent of the particular density function. Several of these results are presented.

Date: 1972
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