A priority waiting system assigns arriving customers to one of four classes. Arrival rates (Poisson) of the classes are shown in the following table: Use Table 1 and Table 2.
| Class |
Arrivals per Hour |
| 1 |
6 |
| 2 |
4 |
| 3 |
6 |
| 4 |
5 |
Five servers process the customers, and each can handle 6 customers per hour.
a. What is the system utilization? (Round your answer to 2 decimal places.)?
b. What is the average wait for service by customers in the various classes? How many are waiting in each class, on average? (Round your answers to 3 decimal places.)
W1
W2
W3
W4
L1
L2
L3
L4
c. If the arrival rate of the second priority class could be reduced to 3 units per hour by shifting some arrivals into the third priority class, how would your answers to part b change? (Round your answers to 3 decimal places.)
W1
W2
W3
W4
L1
L2
L3
L4