In early 20th century, telephone engineer Agner Erlang from Denmark studied the queueing process in telecommunications systems/call-processing. He formulated the models well known as Erlang-B and Erlang-C. Shown below is the formulation for Erlang-B. Erlang-B: B(n,x) = (xn/n!)/(1 + x1/1! + x2/2! + .... + xn/n!) = (xn/n!)/Σ(xn/n!) n = Number of servers λ = Arrival rate (per hour) μ = Service rate (per hour) x = Traffic intensity (Arrival Rate/Service Rate) measured in erlangs x = λ/μ Numerator [NR] = xn/n! Denominator [DR] = Σ(xn/n!)
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