THE STOCHASTIC BEHAVIOR OF TRAFFIC ON A TWO-LANE ROAD.
Technical rept. no 9,
MASSACHUSETTS INST OF TECH CAMBRIDGE OPERATIONS RESEARCH CENTER
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The main emphasis is placed on the stochastic behavior of a single traffic stream. Cars are divided into a finite number of discrete free speed classes. A car is moving on its free speed, when it is free from interaction with other cars. For the remaining part of its travel time it is driving on the speed forced upon it by the leaders of queues with slower free speed. The queues, that build up among the cars, that successively pass slow-moving cars, are approximated by steady-state queues. A set of equations is established relating the mean number of cars per mile of each free speed class and the mean number of queue leaders per mile of each class. These equations contain implicitly the relation between the free speed distribution of cars on the road and the speed distribution of leaders. For four different free speed distributions and for different values of the total density of the traffic stream, the distributions obtained are the speed distribution of leaders, the instantaneous speed distribution of cars passing a fixed point on the road and the distribution of speeds of a single car with given free speed during its travel time on the road.1