Queuing Theory Formulas

Important formulas for Queuing Theory(Acc. to GATE requirement):

No. of People in the system,    Ns =   λ  / (μ- λ )


No. of People in Queue,             Nq = Ls - λ  / μ =  λ  / (μ- λ ) -   λ  / μ
                                                    =  λ ^2 / μ(μ- λ )


Average waiting time in system,  Ws = Ns/ λ  = 1/(μ- λ )


Average waiting time in queue,    Wq = Nq/ λ  =  λ / μ(μ- λ )


Complete Queuing Theory is quite versatile but this much of formulas are sufficient for GATE