# 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