QUEING : 6 QUESTIONS FOR M/M/1 MODEL .

Bank of Ohio in Zanesville has a single drive-in teller window. Customers arrive at the window about every 10 minutes on average with an exponential distribution or the hourly arrival rate

is λ = 6. It take an average of five minutes (exponentially distributed) to complete each customer order or the hourly service rate is μ = 12. You are asked following tasks:

Determin:

Solution:

Given: μ = 12  λ = 6

·         Expected number of customers in the system, including those being served.

·         Expected number of customers in the queue, excluding those being served.

·         Expected waiting time in the system, including service time, for an individual customer.

·         Expected waiting time in the queue, excluding service time, for an individual customer.

·         Utilization factor

·         The probability that the system has 5 customers in the system