Question

suppose Bank "A" has only one teller. The expected total time a consumer spends at this bank, CT, is 20 minutes and the average effective process time of the teller, te, is 10 minutes. Assume that the coefficient of variation of interarrival times, ca, and coefficient of variation of effective process time, ce, are both equal to one. The total busy time of the teller in an 8-hour shift is:?

Answer 1

The total busy time of the teller in an 8-hour shift is 240 minutes.

Step-by-step explanation:

In order to find the total busy time of the teller in an 8-hour shift, we need to determine the total number of customers that will visit the bank during that time.

Since the teller has an average effective process time of 10 minutes, and the total expected time a consumer spends at the bank is 20 minutes, we can calculate the expected number of customers served by the teller in one hour by dividing 60 (minutes) by 20.

This equals 3 customers per hour. Therefore, the total number of customers that will visit the bank in an 8-hour shift is 3 customers/hour * 8 hours = 24 customers.

Now, we can calculate the total busy time of the teller by multiplying the average effective process time (10 minutes) by the total number of customers served (24 customers).

Therefore, the total busy time of the teller in an 8-hour shift is 10 minutes/customer * 24 customers = 240 minutes.