Fundamentals of Transportation/Queueing/Problem3

TProblem

Problem:

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

Determine:

(A) Probability of 5 cars,

(B) Percent of Time Ramp is Full,

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

• Solution