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At home, I have 12 bottles of whisky in my bar. On average, I finish and purchase one new whisky bottle every two months. a) What is the average time each whisky bottle stays in my bar? b) Little's Law considers the average number of items in a queuing system based on the average time to process a single item. However in reality what is the longest and shortest time an individual bottle of whisky may stay in my bar? Explain your answer and any assumptions you made.

The average time each whisky bottle stays in the bar is 24 months. According to Little's Law, all bottles are consumed and processed in the same order that they arrived to the bar. However, this does not always happen and would affect the rate at which the whisky is consumed.

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In this example, the average time a whisky bottle will spend on the shelf of a bar is quite simple. We need only multiply the total number of bottles (12) by the average rate of consumption (2 months) to find the answer. 12 x 2 = 24 months or two full years for the average lifespan of the bottle.

This is according to Little's Law, holding that all bottles will be consumed and...

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