Question: 4. In a production system, we are interested in analyzing one of the machines for which the following data are provided: The inter-arrival time of

4. In a production system, we are interested in analyzing one of the machines for which the following data are provided: The inter-arrival time of one batch is uniformly distributed between 9 and 11 minutes, while the processing time on the machine is a random variable. Sample data collected for the processing time (in minutes) for one batch are as follows: 5.6 7.6 8.9 6.8 4.0 9.5 6.2 5.7 7.6 8.1 (20 points) The rate of arrival to the machine, 1 = The rate of service of the machine, u = the proportion of time the server is busy, p = the mean waiting time for a batch in the queue in front of the machine, Wa= the lead time for a batch arriving to this machine = 4. In a production system, we are interested in analyzing one of the machines for which the following data are provided: The inter-arrival time of one batch is uniformly distributed between 9 and 11 minutes, while the processing time on the machine is a random variable. Sample data collected for the processing time (in minutes) for one batch are as follows: 5.6 7.6 8.9 6.8 4.0 9.5 6.2 5.7 7.6 8.1 (20 points) The rate of arrival to the machine, 1 = The rate of service of the machine, u = the proportion of time the server is busy, p = the mean waiting time for a batch in the queue in front of the machine, Wa= the lead time for a batch arriving to this machine =

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