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derive an expression that prescribes the machine’s capacity (µ) as a function of T and λ . (Capacity is defined as the number of orders the machine can handle per day.) What happens to the required capacity when T is decreased to 0?

derive an expression that prescribes the machine’s capacity (µ) as a function of T and λ . (Capacity is defined as the number of orders the machine can handle per day.) What happens to the required capacity when T is decreased to 0?

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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A make-to-order system is well described as a basic Erlang system with a single machine. The manager of the system wants to ensure that the expected turnaround time of any order (from its placement until its shipment to the customer), in days, is T. If orders arrive at a rate λ per day, derive an expression that prescribes the machine’s capacity (µ) as a function of T and λ . (Capacity is defined as the number of orders the machine can handle per day.) What happens to the required capacity when T is decreased to 0? 

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