Weary travelers arrive at Will Rogers International Airport, pick up their luggage, stumble to their cars, and proceed to the parking lot attendant to pay for their parking. Traveler interarrival times are exponentially distributed, as are the service times of the attendant. On average, travelers arrive every 25 seconds. The attendant can process three travelers per minute.
-Use the information in Scenario C.2.What is the average amount of time a customer spends waiting in line and being served?

Question

Quizplus · Accepted Answer

The arrival rate is 1/25 travelers per second, or 2.4 travelers per minute. The service rate is 3 travelers per minute. Using the formula for average time in the system (1/(service rate - arrival rate)), we get 1/(3 - 2.4) = 1.67 minutes.

Weary Travelers Arrive at Will Rogers International Airport, Pick Up