The steady-state departure process of a stable M/M/c queueing system is a Poisson process with the same rate as the arrival process, irrespective of the service rate.
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(2013). Burke’s Theorem. In: Gass, S.I., Fu, M.C. (eds) Encyclopedia of Operations Research and Management Science. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-1153-7_200024
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DOI: https://doi.org/10.1007/978-1-4419-1153-7_200024
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