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. a. Identify the teller utilization, u, and the expected waiting time a consumer spends at this bank, CTG CT u b. Find the total busy time of the teller in an 8-hour shift: Total Busy Time: _(hours)

Answer 1

The teller utilization is 50%, and the expected waiting time for a consumer is 10 minutes.

Step-by-step explanation:

The teller utilization, u, can be calculated using the formula:

u = te / CT

Given that te is 10 minutes and CT is 20 minutes, we can substitute these values into the formula to find:

u = 10 / 20 = 0.5

Therefore, the teller utilization is 0.5, or 50%.

The expected waiting time a consumer spends at this bank, CTG, can be calculated using the formula:

CTG = CT - te

Substituting the given values, we get:

CTG = 20 - 10 = 10 minutes