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OPRE assignment 5

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Total cost on waiting = ((Number of servers * Server cost) + (Average number in queues*
Waiting cost))
Server Cost = 0.75 per minute
Waiting cost =5.83 per minute
Arrival rate
Service rate
Number of servers
Assumes Poisson
process for
arrivals and
services.
3.7
1.33
6
Utilization
P(0), probability that the system is empty
Lq, expected queue length
Ls, expected number in system
Wq, expected time in queue
Ws, expected total time in system
46.37%
0.0613
0.0636
2.8455
0.0172
0.7691
Total cost: 4.8706
Arrival rate
Assumes Poisson
process for
arrivals and
services.
3.7
Service rate
Number of servers
1.33
5
Utilization
P(0), probability that the system is empty
Lq, expected queue length
Ls, expected number in system
Wq, expected time in queue
Ws, expected total time in system
55.64%
0.0593
0.2328
3.0147
0.0629
0.8148
Total cost :5.10709
Arrival rate
Service rate
Number of servers
3.7
1.33
7
Utilization
P(0), probability that the system is empty
39.74%
0.0618
Lq, expected queue length
Ls, expected number in system
Wq, expected time in queue
Ws, expected total time in system
Total cost :5.35083
0.0173
2.7993
0.0047
0.7566
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