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Queueing Theory Calculator
Calculate M/M/1 Queue performance metrics (Arrival & Service rates)
Formula (M/M/1 Model): Utilization $\rho = \frac{\lambda}{\mu}$, Average number in system $L = \frac{\lambda}{\mu - \lambda}$, Average in queue $L_q = \frac{\lambda^2}{\mu(\mu - \lambda)}$, Waiting time in system $W = \frac{1}{\mu - \lambda}$, Waiting time in queue $W_q = \frac{\lambda}{\mu(\mu - \lambda)}$. Enter arrival rate ($\lambda$) and service rate ($\mu$) below.
Queue Parameters Inputs
Calculation Results
⚠️ For educational purposes only. Verify results with a qualified professional when making important decisions.