Fundamentals of Transportation/Queueing/Problem3

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In this problem we apply the properties of capacitated queues to an expressway ramp. Note the following

  • Ramp will hold 15 vehicles
  • Vehicles can enter expressway at 1 vehicle every 6 seconds
  • Vehicles arrive at ramp at 1 vehicle every 8 seconds


(A) Probability of 5 cars,

(B) Percent of Time Ramp is Full,

(C) Expected number of vehicles on ramp in peak hour.