Queue Theory Calculator
M/M/1 (M/M/s is in work)



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






Categories



Free Online Calculator

We provide quick reference calculators with explanations of how to calculate formula's. Please feel free to contact us with questions or suggestions. We hope you find our site useful.