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Queuing theory: customer wait times

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The average time T a customer waits to get his food cooked is related to the average number of orders N by the relation T = 1 + N^2. What is the maximal order arrival rate lamda* that the cook can sustain?

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This solution goes through queuing theory within the context of statistics.

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By Little's Law in queuing theory, The long-term average number of customers in a stable system L is ...

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