Question: Problem 1 Suppose that each SKU arrives at your machine every 12 minutes following Exponential Distribution, and that the service time is exponential at a

Problem 1 Suppose that each SKU arrives at your

Problem 1 Suppose that each SKU arrives at your machine every 12 minutes following Exponential Distribution, and that the service time is exponential at a rate of one service per 8 minutes. When the service is over, each SKU will ship out to the customer. Your machine is capable of holding infinite amounts of SKUs and SKUs will keep arriving in the system. Q1-1. Please represent this system using Kendall's notation. Q1-2. Please represent this system using the rate diagram. What are the values of 1 and u? Q1-3. Will your facility be in steady state in the long run? Please show me your reasoning. Q1-4. What is the long-run probability that n number of SKUs are in the system? Q1-5. What is the average number of SKU in the system? Q1-6. In average, how much time does each SKU spend in the system

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