Asymptotic Inversion of the Erlang B Formula
نویسندگان
چکیده
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 function. A similar inversion problem is investigated for the Erlang C formula. 2000 Mathematics Subject Classification: 60K25, 33B20, 41A60.
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ورودعنوان ژورنال:
- SIAM Journal of Applied Mathematics
دوره 70 شماره
صفحات -
تاریخ انتشار 2009