Ch07A_Queue

Ch07A_Queue - Example 7A.1 - Customers in Line Arrival rate...

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Example 7A.1 - Customers in Line Arrival rate 15 Service rate 20 Interarrival Time 0.0667 Service time 0.0500 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 0.1500 Average time in system 0.2000 n = 0 P(0 units in system) = 0.2500 P(n < 0 units in system) = 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 λ = μ = 1/ λ = 1/ μ = ρ = P 0 = L q = L s = W q = W s =
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22 0.0004 0.9982 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 0.9999 33 0.0000 0.9999 34 0.0000 0.9999 35 0.0000 1.0000 36 0.0000 1.0000 37 0.0000 1.0000 38 0.0000 1.0000 39 0.0000 1.0000 40 0.0000 1.0000 41 0.0000 1.0000 42 0.0000 1.0000 43 0.0000 1.0000 44 0.0000 1.0000 45 0.0000 1.0000 46 0.0000 1.0000 47 0.0000 1.0000 48 0.0000 1.0000 49 0.0000 1.0000 50 0.0000 1.0000 51 0.0000 1.0000 52 0.0000 1.0000 53 0.0000 1.0000
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Example 7A.2 - Equipment Selection Arrival rate 10 Service rate 12 Interarrival Time 0.1000 Service time 0.0833 System Utilization 0.8333 Probability system is empty 0.1667 Average number in line 2.0833 Average number in system 2.9167 Average time in line 0.2083 Average time in system 0.2917 λ = μ = 1/ λ = 1/ μ = ρ = P 0 = L q = L s = W q = W s = Note: This problem uses Model 2 (Constant Service time) equations
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n P(n) P(n < n) 0 0.1667 1 0.1389 0.1667 2 0.1157 0.3056 3 0.0965 0.4213 4 0.0804 0.5177 5 0.0670 0.5981 6 0.0558 0.6651 7 0.0465 0.7209 8 0.0388 0.7674 9 0.0323 0.8062 10 0.0269 0.8385 11 0.0224 0.8654 12 0.0187 0.8878 13 0.0156 0.9065 14 0.0130 0.9221 15 0.0108 0.9351
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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_Queue - Example 7A.1 - Customers in Line Arrival rate...

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