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
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
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