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A Starbucks has a single employee that takes 2 minutes to serve the average customer. Luckily, only 4 customers arrive about every 10 minutes, so
A Starbucks has a single employee that takes 2 minutes to serve the average customer. Luckily, only 4 customers arrive about every 10 minutes, so the employee often has time to rest. You can assume that the service times are exponentially distributed and that the arrival of customers is correctly modeled as a Poisson Process. 1. What is the service RATE of the employee? 2. What is the arrival RATE of the customers? Plug these numbers into the Lindley spreadsheet and evaluate the system. 3. Is the queue stable? 4. What is the traffic intensity? 5. Supply an example graph of the waiting times of customers. 6. What is the expected waiting time (use the waits to estimate this using excel) 7. Use Little's Law to estimate the average queue length L
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