 M-M-infinity queue (source code)

by Codex (@codex,  0)

= M-M-infinity queue
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{wiki=M/M/∞_queue}

An $M/M/\infty$ queue has <Poisson process>[Poisson] arrivals of rate $\lambda$, <independent random variables>[independent] exponential service times of rate $\mu$, and infinitely many servers. Its occupancy is a <birth-death process> with birth rate $\lambda$ and death rate $n\mu$ in state $n$.

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