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A B C D E F G H I J
Queuing Model M/M/s (Exponential Service Times)
Probability (% of time) system is empty (P0)0.0502
6 0.0630 0.8530
7 0.0441 0.8971
8 0.0309 0.9280
9 0.0216 0.9496
10 0.0151 0.9647
Problem 9-37 (In)
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20 0.0004 0.9990
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 2.8 1 -1.555555556 -1.8 2.8 -4.35556 -1.55556 -0.05185 –0.01852
12 0.000485 16.444032 0.000632343 0.06081 0.233333 1.17E-05 2.800012 1.39E-07 0.033333
13 0.000104 16.444517 0.000133081 0.06081 0.215385 2.22E-06 2.800002 2.64E-08 0.033333
14 2.09E-05 16.444621 2.61044E-05 0.06081 0.2 3.97E-07 2.8 4.72E-09 0.033333
15 3.9E-06 16.444642 4.79294E-06 0.06081 0.186667 6.69E-08 2.8 7.96E-10 0.033333
16 6.82E-07 16.444646 8.26904E-07 0.06081 0.175 1.07E-08 2.8 1.27E-10 0.033333
27 1.09E-16 16.444647 1.21292E-16 0.06081 0.103704 8.53E-19 2.8 1.02E-20 0.033333
28 1.09E-17 16.444647 1.20793E-17 0.06081 0.1 8.16E-20 2.8 9.72E-22 0.033333
29 1.05E-18 16.444647 1.16183E-18 0.06081 0.096552 7.55E-21 2.8 8.99E-23 0.033333
30 9.8E-20 16.444647 1.08052E-19 0.06081 0.093333 6.76E-22 2.8 8.05E-24 0.033333
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A B C D E F G H I J
Queuing Model M/M/s (Exponential Service Times)
Average waiting time in the queue (Wq)0.0593
Average time in the system (W) 0.0926
2 0.1422 0.4311
3 0.1138 0.5449
4 0.0910 0.6359
5 0.0728 0.7087
6 0.0583 0.7670
17 0.0050 0.9800
18 0.0040 0.9840
19 0.0032 0.9872
Problem 9-37 (Out)
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20 0.0026 0.9898
8 0.001065 4.9517425 0.001331525 0.20189 0.2 6.72E-05 1.600067 1.4E-06 0.033335
9 0.000189 4.9528077 0.000230318 0.2019 0.177778 1.01E-05 1.60001 2.09E-07 0.033334
10 3.03E-05 4.952997 3.60709E-05 0.2019 0.16 1.39E-06 1.600001 2.89E-08 0.033333
11 4.41E-06 4.9530273 5.15738E-06 0.2019 0.145455 1.77E-07 1.6 3.69E-09 0.033333
12 5.88E-07 4.9530318 6.78033E-07 0.2019 0.133333 2.11E-08 1.6 4.39E-10 0.033333
23 1.92E-18 4.9530324 2.05863E-18 0.2019 0.069565 3.11E-20 1.6 6.47E-22 0.033333
24 1.28E-19 4.9530324 1.36816E-19 0.2019 0.066667 1.97E-21 1.6 4.11E-23 0.033333
25 8.17E-21 4.9530324 8.73128E-21 0.2019 0.064 1.21E-22 1.6 2.51E-24 0.033333
26 5.03E-22 4.9530324 5.359E-22 0.2019 0.061538 7.09E-24 1.6 1.48E-25 0.033333
27 2.98E-23 4.9530324 3.16801E-23 0.2019 0.059259 4.03E-25 1.6 8.39E-27 0.033333