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Queue Theory Calculator



λ:

λ is mean arrival rate


  μ:

μ is expected service time


   s:

s is number of servers



    

Solution


   Ls =


   Lq =


   Ws =


   Wq =


   ρ =


   P0 =


*** NOTE- This is only meant for single service (M/M/1) at this time, I will come back to add more than 1 server capability at a later date.


Queue Theory Formulae

ρ = λ / μ

Mean number in system : Ls = λ / (μ - λ)

Mean number in queue : Lq = ρλ / (μ - λ)

Mean time in system : Ws = 1 / (μ - λ)

Mean time in queue : Wq = ρ / (μ - λ)




Below is a really good Queue Theory Explanation




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