Burke's theorem
In queueing theory, a discipline within the mathematical theory of probability, Burke's theorem (sometimes the Burke's output theorem) is a theorem (stated and demonstrated by Paul J. Burke while working at Bell Telephone Laboratories) asserting that, for the M/M/1 queue, M/M/c queue or M/M/∞ queue in the steady state with arrivals a Poisson process with rate parameter λ: 1.
* The departure process is a Poisson process with rate parameter λ. 2.
* At time t the number of customers in the queue is independent of the departure process prior to time t.
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Burke's theorem
In queueing theory, a discipline within the mathematical theory of probability, Burke's theorem (sometimes the Burke's output theorem) is a theorem (stated and demonstrated by Paul J. Burke while working at Bell Telephone Laboratories) asserting that, for the M/M/1 queue, M/M/c queue or M/M/∞ queue in the steady state with arrivals a Poisson process with rate parameter λ: 1.
* The departure process is a Poisson process with rate parameter λ. 2.
* At time t the number of customers in the queue is independent of the departure process prior to time t.
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In queueing theory, a discipli ...... rture process prior to time t.
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In queueing theory, a discipli ...... rture process prior to time t.
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Burke's theorem
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