In a SIX server model, find the percentage of the time a server would be busy?...
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In a SIX server model, find the percentage of the time a server would be busy? Your answer should contain two decimal places (e.g. 0.34). Servers 1 2 3 RHO 0.63 22222 PO 0.22 0.47 0.49 P1 0.172 0.24 0.32 P2 0.134 0.11 0.12 P3 0.104 0.06 0.04 P4 0.081 0.03 0.02 P5 0.064 0.02 0.01 CUSTOMER CUSTOMER CUSTOMER S S S n(s) n(1) 3.42 0.94 0.7 0.24 0.01 TIME TIME TIME t(s) t(l) (Minutes) 27.3 (Minutes) (Minutes) 6.58 4.28 1.18 0.16 Find the percentage of customers served immediately in a TWO server model? Your answer should contain two decimal places (e.g. 0.34). Servers RHO 1 2 3 0.81 0.405 0.27 22222 PO 0.19 0.44 0.48 P1 0.154 0.23 0.31 P2 0.125 0.12 0.11 P3 0.101 0.05 0.03 P4 0.082 0.03 0.02 P5 0.066 0.02 0.01 CUSTOMER CUSTOMER CUSTOMER S S S n(s) 4.26 0.92 0.68 n(l) 3.45 0.22 0.01 TIME TIME TIME (Minutes) (Minutes) (Minutes) t(s) 31.6 5.44 4.14 t(l) 25.6 1.16 0.14 In a 2-server model, what is the probability of exactly one customer in the line? Your answer should contain two decimal places (e.g. 0.34). Servers 1 2 3 RHO 0.81 0.405 0.27 PO 0.19 0.46 0.48 P1 0.154 0.23 0.31 P2 0.125 0.1 0.11 P3 0.101 0.48 0.03 P4 0.082 0.03 0.02 P5 0.066 0.02 0.01 CUSTOMER CUSTOMER CUSTOMER S S S n(s) 4.26 0.92 0.68 n(l) 3.45 0.22 0.01 TIME TIME TIME (Minutes) (Minutes) (Minutes) t(s) t(l) 31.6 5.44 4.14 25.6 1.16 0.14 What percentage of the time is the system empty in a single server model? Your answer should contain two decimal places (e.g. 0.34). Servers RHO 1 2 3 0.81 0.405 0.27 PO 0.14 0.46 0.48 P1 0.154 0.23 0.31 P2 0.125 0.1 0.11 P3 0.101 0.05 0.03 P4 0.082 0.03 0.02 P5 0.066 0.02 0.01 CUSTOMER CUSTOMER CUSTOMER S S S n(s) 4.26 0.92 0.68 n(l) 3.45 0.22 0.01 TIME TIME TIME (Minutes) (Minutes) (Minutes) t(s) 31.6 5.44 4.14 t(l) 25.6 1.44 0.14 In a SIX server model, find the percentage of the time a server would be busy? Your answer should contain two decimal places (e.g. 0.34). Servers 1 2 3 RHO 0.63 22222 PO 0.22 0.47 0.49 P1 0.172 0.24 0.32 P2 0.134 0.11 0.12 P3 0.104 0.06 0.04 P4 0.081 0.03 0.02 P5 0.064 0.02 0.01 CUSTOMER CUSTOMER CUSTOMER S S S n(s) n(1) 3.42 0.94 0.7 0.24 0.01 TIME TIME TIME t(s) t(l) (Minutes) 27.3 (Minutes) (Minutes) 6.58 4.28 1.18 0.16 Find the percentage of customers served immediately in a TWO server model? Your answer should contain two decimal places (e.g. 0.34). Servers RHO 1 2 3 0.81 0.405 0.27 22222 PO 0.19 0.44 0.48 P1 0.154 0.23 0.31 P2 0.125 0.12 0.11 P3 0.101 0.05 0.03 P4 0.082 0.03 0.02 P5 0.066 0.02 0.01 CUSTOMER CUSTOMER CUSTOMER S S S n(s) 4.26 0.92 0.68 n(l) 3.45 0.22 0.01 TIME TIME TIME (Minutes) (Minutes) (Minutes) t(s) 31.6 5.44 4.14 t(l) 25.6 1.16 0.14 In a 2-server model, what is the probability of exactly one customer in the line? Your answer should contain two decimal places (e.g. 0.34). Servers 1 2 3 RHO 0.81 0.405 0.27 PO 0.19 0.46 0.48 P1 0.154 0.23 0.31 P2 0.125 0.1 0.11 P3 0.101 0.48 0.03 P4 0.082 0.03 0.02 P5 0.066 0.02 0.01 CUSTOMER CUSTOMER CUSTOMER S S S n(s) 4.26 0.92 0.68 n(l) 3.45 0.22 0.01 TIME TIME TIME (Minutes) (Minutes) (Minutes) t(s) t(l) 31.6 5.44 4.14 25.6 1.16 0.14 What percentage of the time is the system empty in a single server model? Your answer should contain two decimal places (e.g. 0.34). Servers RHO 1 2 3 0.81 0.405 0.27 PO 0.14 0.46 0.48 P1 0.154 0.23 0.31 P2 0.125 0.1 0.11 P3 0.101 0.05 0.03 P4 0.082 0.03 0.02 P5 0.066 0.02 0.01 CUSTOMER CUSTOMER CUSTOMER S S S n(s) 4.26 0.92 0.68 n(l) 3.45 0.22 0.01 TIME TIME TIME (Minutes) (Minutes) (Minutes) t(s) 31.6 5.44 4.14 t(l) 25.6 1.44 0.14
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