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  "body": "\n## Summary\n\nQueueing theory is the mathematical study of waiting lines.\nCustomers arrive at random times, wait, are served by one or more servers, and leave.\nThe theory computes the laws of the queue length and of the waiting time, and it asks when the queue stays stable.\nIt is used to design telephone networks, computer systems, call centres and traffic systems.\n\n## Explanations\n\n### L1 human\n\nThink of a post office with one clerk.\nPeople arrive at random and each needs a random amount of time at the desk.\nIf people arrive faster than the clerk can serve them, the line grows without bound.\nIf they arrive more slowly, the line goes up and down but stays of moderate size, and one can compute its average length.\nThe [[M/M/1 queue|GTFRPF5J2K]] is the simplest model of this kind, and [[Little's law|JN2YME6F4A]] links the average length with the average wait.\n",
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