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A B C D E F G H I J
Problem 9-27
Queuing Model M/M/s (Exponential Service Times)
Input Data Operating Characteristics
Arrival rate (l)71.428571 Average server utilization (r)0.6803
Probabilities
Number of Units Probability
Cumulative
Probability
0 0.0078 0.0078
9 0.0400 0.9150
10 0.0272 0.9422
11 0.0185 0.9607
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A B C D E F G H I J
Computations
n or s
(lam/mu)^n/n!
Cumsum(n-1)
term2 P0(s) Rho(s) Lq(s) L(s) Wq(s) W(S)
0 1
1 4.7619048 1 -1.265822785 -3.7619048 4.761905 -6.02773 -1.26582 -0.08439 -0.01772
2 11.337868 5.76190476 -8.210180624 -0.4084507 2.380952 -5.78182 -1.01991 -0.08095 -0.01428
13 0.1039606 116.813359 0.164053461 0.00854866 0.3663 0.000811 4.762715 1.13E-05 0.066678
14 0.0353608 116.917319 0.053587947 0.00854913 0.340136 0.000236 4.762141 3.31E-06 0.06667
15 0.0112256 116.95268 0.016446863 0.00854926 0.31746 6.54E-05 4.76197 9.16E-07 0.066668
16 0.003341 116.963906 0.004756626 0.0085493 0.297619 1.72E-05 4.761922 2.41E-07 0.066667
17 0.0009358 116.967247 0.001299986 0.00854931 0.280112 4.32E-06 4.761909 6.05E-08 0.066667