Abstract
The square-root staffing model generates the number of servers s by summing the “offered load” k (minimum staffing level) and the “safety staff” (square root of k multiplied by the parameter β reflecting the desired service level). We treat the service level as one minus the delay probability (Erlang-C). Due to its iterative nature, we present a model for the Erlang-C which allows us to construct an approximate closed-form solution for the number of servers at the desired service level.
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