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4. (30) The car tag renewal office has 4 agents who handle services. Customer arrivals are Poisson with rate 27 per hour. Service times are

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4. (30) The car tag renewal office has 4 agents who handle services. Customer arrivals are Poisson with rate 27 per hour. Service times are exponential with rate 8 per hour. a. (10 If each agent has his or her own queue, what is the utilization on average for an agent, the average cycle time for a customer, the average time in line for a customer, the average number of customers at an agent's station (including queue) and the average queue length? b. (10) If the queues are pooled into one queue for all the agents, what is the utilization on average the agents, the average cycle time for a customer, the average time in line for each customer, the average number at each agent's station (including queue) and the average queue length. c. (10) Now consider general service and process times with ca 2 1.25 and Ce 2 0.5. What is the average time in queue and the average cycle time

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