Ch07A_QueueModels

Ch07A_QueueModels - Model 1: Single Channel, Poisson...

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Model 1: Single Channel, Poisson Arrival, Exponential Service Time Arrival rate 3 Service rate 4 Interarrival Time 0.3333 Service time 0.2500 System Utilization 0.7500 Probability system is empty 0.2500 Average number in line 2.2500 Average number in system 3.0000 Average time in line 0.7500 Average time in system 1.0000 n = 2 P(2 units in system) = 0.1406 P(n < 2 units in system) = 0.4375 n P(n) P(n < n) 0 0.2500 1 0.1875 0.2500 2 0.1406 0.4375 3 0.1055 0.5781 4 0.0791 0.6836 5 0.0593 0.7627 6 0.0445 0.8220 7 0.0334 0.8665 8 0.0250 0.8999 9 0.0188 0.9249 10 0.0141 0.9437 11 0.0106 0.9578 12 0.0079 0.9683 13 0.0059 0.9762 14 0.0045 0.9822 15 0.0033 0.9866 16 0.0025 0.9900 17 0.0019 0.9925 18 0.0014 0.9944 19 0.0011 0.9958 20 0.0008 0.9968 21 0.0006 0.9976 22 0.0004 0.9982 λ = μ = 1/ λ = 1/ μ = ρ = P 0 = L q = L s = W q = W s =
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23 0.0003 0.9987 24 0.0003 0.9990 25 0.0002 0.9992 26 0.0001 0.9994 27 0.0001 0.9996 28 0.0001 0.9997 29 0.0001 0.9998 30 0.0000 0.9998 31 0.0000 0.9999 32 0.0000
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This note was uploaded on 07/17/2011 for the course MG 375 taught by Professor Fry during the Fall '09 term at Park.

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Ch07A_QueueModels - Model 1: Single Channel, Poisson...

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