Consider a queueing network below. Suppose that the service rate of each server inf stations 1,...

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Consider a queueing network below. Suppose that the service rate of each server inf stations 1, 2, 3 are μ₁-3, 2= 5, and 13 = 3, respectively. (a) Determine the minimum number of servers at each station. (b) (Queueing Theory) Calculate p₁, Lq1, L₁, W₁₁, and W₁ if the minimum number of servers are used. Repeat this for station 2, station 3, and the entire system. (c) (Arena Model) Create an Arena model for this network. Use the minimum number of servers at each station found in part a. Use the simulation run length that can be enough to find steady state results. Make 30 replications and find the average and standard deviation for each measure mentioned in part (b). Turn in your Arena file. a =5/hr a, -6/hr #1 P=0.2 P=0.8 #2 #3 P=0.5 P₁=0.5 33 Consider a queueing network below. Suppose that the service rate of each server inf stations 1, 2, 3 are μ₁-3, 2= 5, and 13 = 3, respectively. (a) Determine the minimum number of servers at each station. (b) (Queueing Theory) Calculate p₁, Lq1, L₁, W₁₁, and W₁ if the minimum number of servers are used. Repeat this for station 2, station 3, and the entire system. (c) (Arena Model) Create an Arena model for this network. Use the minimum number of servers at each station found in part a. Use the simulation run length that can be enough to find steady state results. Make 30 replications and find the average and standard deviation for each measure mentioned in part (b). Turn in your Arena file. a =5/hr a, -6/hr #1 P=0.2 P=0.8 #2 #3 P=0.5 P₁=0.5 33