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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 7 2 5 3 6 4 4 Five servers process the customers, and each can handle 5 customers per hour. a. What is the system utilization? (Round your answer to 2 decimal places.) ρ 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 4 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

Operation Management, Management Studies

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