Queueing Model Calculator — Petrol Pump

Select a queueing model → Enter arrival/service inputs → Choose distributions (where applicable) → Calculate

M/M/1
M/G/1
M/M/s
M/G/s
G/G/1
G/G/s
Core Inputs
All times/rates below are interpreted in this unit — no manual conversion needed.
For record only; steady-state formulas assume infinite population.
Arrival Input
Service Input
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λ (Arrival Rate)
0.0000 / unit
μ (Service Rate)
0.0000 / unit
ρ (Utilization)
0.0000
Utilization ρ must be < 1
Distribution Selection
Arrival Distribution
Poisson (fixed — Markovian arrivals)
Service Distribution
Exponential (fixed — Markovian service)
Select a model → Enter values → Click Calculate