Problem 9-39
Queuing Model M/M/s with a finite population
Input Data Operating Characteristics
Arrival rate per
customer (l)
0.9090909
Average server utilization (r)0.7190
Probabilities 8.143153
Number of Units Probability
Cumulative
Probability
Number waiting
Arrival
rate(n)
Term 1
Sum term
1
Term 2
Sum term
2
Decum
term 2
P0(s)
1 0.2821 0.4221 0 5.454545 2.015152 3.015152 2.015152 4.015152 4.128001
4 0.1010 0.9420 2 2.727273 0.721154 7.729194 0.413959
5 0.0436 0.9856 3 1.818182 0.311407 8.040601 0.102551
6 0.0126 0.9982 4 0.909091 0.089648 8.130249 0.012904
7 0.0018 1.0000 5 0 0.012904 8.143153 0
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