Fundamentals of Transportation/Queueing/Problem1

 Problem: Application of Single-Channel Undersaturated Infinite Queue Theory to Tollbooth Operation. Poisson Arrival, Negative Exponential Service Time
 * Arrival Rate = 500 vph,
 * Service Rate = 700 vph

Determine


 * Percent of Time operator will be free
 * Average queue size in system
 * Average wait time for vehicles that wait

Note: For operator to be free, vehicles must be 0


 * Solution

/Problems