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Asymptotic Inversion of the Erlang B Formula [PDF]

open access: yesSIAM Journal on Applied Mathematics, 2009
The Erlang B formula represents the steady-state blocking probability in the Erlang loss model or M/M/s/s queue. We derive asymptotic expansions for the offered load that matches, for a given number of servers, a certain blocking probability. In addressing this inversion problem we make use of various asymptotic expansions for the incomplete gamma ...
J S H van Leeuwaarden, N M Temme
exaly   +2 more sources

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