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A B C D E F G H I J
Problem 9-23
Queuing Model M/M/s (Exponential Service Times)
Cost per hour = Cw x L + Cs x s $66.25
Probabilities
8 0.0007 0.9995
9 0.0003 0.9998
10 0.0001 0.9999
11 0.0001 1.0000
12 0.0000 1.0000
11
Average waiting time in the queue (Wq)0.1751
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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 0.8333333 1 5 0.16666667 0.833333 4.166667 5 4.166667 5
2 0.3472222 1.83333333 0.595238095 0.41176471 0.416667 0.17507 1.008403 0.17507 1.008403
14 8.934E-13 2.30097589 9.49962E-13 0.43459821 0.059524 2.61E-14 0.833333 2.61E-14 0.833333
15 4.963E-14 2.30097589 5.25539E-14 0.43459821 0.055556 1.34E-15 0.833333 1.34E-15 0.833333
16 2.585E-15 2.30097589 2.72716E-15 0.43459821 0.052083 6.51E-17 0.833333 6.51E-17 0.833333
17 1.267E-16 2.30097589 1.33254E-16 0.43459821 0.04902 2.99E-18 0.833333 2.99E-18 0.833333