You are to solve the following queuing service problem This

You are to solve the following queuing service problem. This problem cannot be solved by any of the templates; you must use the B-D equations to derive the solution. There are 20 machines that require attention on a probabilistic basis with a mean between needing attention of 3 hours. Up to three service people are available to provide service which takes on the average 45 minutes. The state - dependent service person utilization plan is given below in service rate values. Solutions needed: Include the dimensions of each parameter Provide the probability distribution of the number of machines being serviced. Determine the expected value of this distribution. What is the expected time a machine spends in the service system (waiting and being serviced). What is the expected number of machines working (not being serviced)?

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