Scenario B.3
Customers arrive at a bank for service,forming a single line to wait for the first available of three tellers.They arrive at the rate of 45 per hour and are served by the first available teller,who can service customers at a rate of 20 per hour,following a Poisson distribution.Customer arrival times are governed by the exponential distribution.
-Use the information in Scenario B.3.What is the average number of customers in line?

Question

Quizplus · Accepted Answer

The average number of customers in line is given by L = λ / (μ - λ), where λ is the arrival rate and μ is the service rate. In this case, λ = 45 per hour and μ = 20 per hour, so L = 45 / (20 - 45) = 2.25. Therefore, the average number of customers in line is greater than 2.0 but fewer than or equal to 3.0.

Scenario B.3 Customers Arrive at a Bank for Service,forming a Single Line