Problem 9-35
Queuing Model M/M/s with a finite population
Input Data Operating Characteristics
Arrival rate per
customer (l)
0.5
Average server utilization (r)0.6918
Service rate (m)4Average number of customers in the queue (Lq)0.7735
Probabilities 3.245018
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)
3 0.1264 0.9064 2 2 0.410156 2.941406 0.303612
4 0.0632 0.9696 3 1.5 0.205078 3.146484 0.098534
5 0.0237 0.9933 4 1 0.076904 3.223389 0.021629
6 0.0059 0.9993 5 0.5 0.019226 3.242615 0.002403
7 0.0007 1.0000 6 0 0.002403 3.245018 0
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