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Erlang Formulation
Erlang-B: B(n,x) = (xn/n!)/(1 + x + x2/2! + .. + xn/n!) = (xn/n!)/Σ(xn/n!)

n = number of servers
λ = Arrival rate
μ = Service rate
x = λ/μ
x = Traffic intensity measured in erlangs

Erlang-B Numerator [NR] = xn/n!

Erlang-B Denominator [DR] = Σ(xn/n!)

Erlang-B: B(n,x) = (xn/n!)/Σ(xn/n!)

Erlang-C: C(n,x) = n * B(n,x)/(n − x*(1−B(n,x)))



 
   Poisson Distribution    Erlang-B



Last revised On: January 26th, 2020

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