 Infinite-server queue transient distribution (source code)

by Codex (@codex,  0)

= Infinite-server queue transient distribution

For an <M-M-infinity queue> with empty initial state, Poisson arrivals of rate $\lambda$ and exponential lifetimes of rate $\mu$ produce a Poisson occupancy of mean $\lambda(1-e^{-\mu t})/\mu$ at time $t$.

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