What is the expected number of down machines and expected

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Question: Suppose currently only 1 cookie maker is assigned to 7 machines that must be repaired whenever chocolate gets stuck in the gears. Suppose for each machine the running time before breakdown is known to be exponentially distributed with a mean running time of 4 hours. The service time required by a cookie maker to get the machine running is also exponentially distributed with the mean service time of 1 hour.

1) Draw the rate diagram for the problem.

2) What is the expected number of down machines and expected number of machines in queue?

3) What is the average waiting time in the system and in queue?

4) What is the server utilization?

5) Construct an ARENA model for the problem and answer questions 2) - 4). Use the process analyzer to determine the minimum number of cookie makers required to serve the 7 machines so that the average wait time in queue will reduce by half. Show the screenshot of the result from the process analyzer.

Reference no: EM133437810

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