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We are in a M/M/1/3 queueing system in which we wish to determine the cost of operating the system. Each customer in the queue costs us $100 per hour and each customer being served costs us $50 an hour. Customers arrive at a rate of 4 per hour and the server can serve customers at a rate of 5 per hour. The following table in the picture provides Pn values, W, and Wq:

We are in a M/M/1/3 queueing system in which we wish to determine the cost of operating the system. Each customer in the queue costs us $100 per hour and each customer being served costs us $50 an hour. Customers arrive at a rate of 4 per hour and the server can serve customers at a rate of 5 per hour. The following table in the picture provides Pn values, W, and Wq:

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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We are in a M/M/1/3 queueing system in which we wish to determine the cost of operating the system. Each customer in the queue costs us $100 per hour and each customer being served costs us $50 an hour. Customers arrive at a rate of 4 per hour and the server can serve customers at a rate of 5 per hour. The following table in the picture provides Pn values, W, and Wq:
Po P₁ .339 .271 P₂ P3 W Wa .217 .173 .370 .170 Determine the cost of the queueing system. Provide any equations that were used to calculate this cost.
Transcribed Image Text:Po P₁ .339 .271 P₂ P3 W Wa .217 .173 .370 .170 Determine the cost of the queueing system. Provide any equations that were used to calculate this cost.
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