Section A: 1.
Consider the following queueing network with the parameters given in the table below: In addition, (λ1 = 100, λ2 = 150, ρ_AB = 0.4, ρ_BC = 0.3), and (ρ_DE = 0.7). Assume the arrival rates are exponential and all service times are also exponentially distributed. Also, assume the arrival rates and service rates are expressed in units of jobs/hours. Solve the problem for the following performance measures:
The utilization of each station in the system
The expected number of jobs in the system
The expected time a job spends in the system
Validate your solutions (i.e. the analytical values developed in a – c) using Simio Simulation.
Using your simulation model, create an experiment response to compute the throughput for the production line above. Note: Provide clear justification for why you believe your simulation model is an accurate representation of the model described above. You are to turn in the Simulation model as well as the analytical values computed either by hand, Excel or using any programming language.
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