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:
1. λ = , μ = , N =
Include the dimensions of each parameter
2. Provide the probability distribution of the number of machines being serviced.
3. Determine the expected value of this distribution.
4. What is the expected time a machine spends in the service system (waiting and being serviced).
5. What is the expected number of machines working (not being serviced)?