Which of the following factors is irrelevant to Little’s law?Resource input timeAverage number of customers coming in per unit of timeAverage customer flow timeNone of the above
Question
Which of the following factors is irrelevant to Little’s law?Resource input timeAverage number of customers coming in per unit of timeAverage customer flow timeNone of the above
Solution
Little's Law is a principle in queuing theory that states the average number of customers in a system (L) is equal to the average arrival rate of customers to the system (λ) multiplied by the average time a customer spends in the system (W). Mathematically, it is expressed as L = λW.
Let's analyze each of the options:
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Resource input time: This could be interpreted as the time it takes for a resource to process a customer, which is related to the average time a customer spends in the system (W). So, it is relevant to Little’s law.
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Average number of customers coming in per unit of time: This is the average arrival rate of customers to the system (λ), which is directly in Little's Law. So, it is relevant.
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Average customer flow time: This is the average time a customer spends in the system (W), which is also directly in Little's Law. So, it is relevant.
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None of the above: Since all the above factors are relevant to Little’s law, this option is incorrect.
Therefore, none of the factors listed are irrelevant to Little’s law.
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