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1 results

  • Low density traffic streams

  • Mark Brown
  • Journal:
    Advances in Applied Probability / Volume 4 / Issue 1 / April 1972
    Published online by Cambridge University Press:
    01 July 2016, pp. 177-192
    Print publication:
    April 1972

  • Low density traffic refers to the study of macroscopic properties of a traffic stream when vehicles travel independently of one another. It is usually assumed that each vehicle travels at a constant velocity, the velocity varying from vehicle to vehicle. We allow very general vehicular motions and study various aspects of the traffic streams. For example, it is shown that if π [a,b] is the expected time for a vehicle to travel from a to b under the stochastic process governing the motion of vehicles, then a non-homogeneous Poisson spatial process with mean measure π is invariant.