Question: 1. While you are certainly welcome to do this by hand, this is a quick question when done on a spreadsheet. Consider a simple queueing

1. While you are certainly welcome to do this by hand, this is a quick question when done on a spreadsheet. Consider a simple queueing system with 20 servers. Customers have an average inter-arrival time (the average time between each arrival) of 1 customer every 0.6 minutes with a standard deviation of arrival of 2 minutes. Average service processing time is 11 minutes exponentially distributed. Recall that exponential distributions have a coefficient of variation equal to 1. a) Compute the utilization rate as well I, I, and T (you of course already know To). How much time in total does a typical flow unit spend in the system? b) The service provider has made some changes. After investing in technology, the average processing time is cut in half to 5.5 minutes, still exponentially distributed. As a result, the number of servers has been reduced to 10. Recalculate your answers. c) Compare your answers from a) and b). Which system would you prefer as a customer? Why

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