PSO Petrol Pump — Discrete Event Simulator

This SIMULATOR runs time forward event by event. Each car arrives, waits, fills up and leaves — just like real life. Then we average the real results.

Simulator vs Calculator — What is the Difference?
Calculator (Queueing Models)
→ Enter λ and μ → Formula runs instantly
→ Gives exact theoretical Lq, Wq, L, W
→ No time passes, pure math
Simulator (This Page) ← You are here
→ Random numbers generate each interarrival/service time
→ Every customer is tracked event by event
→ Average of all real events = result
Detected Queueing Model
M/M/1
Based on the Arrival Distribution, Service Distribution and Number of Servers selected below. Updates automatically as you change them.
General Settings
1 = single server. 2+ shows the Assigned Server column.
Every generated/calculated time is shown in this unit.
Simulation stops once this many customers have arrived, or Duration is reached — whichever comes first.
In the Time Unit selected above.
Same seed = same random sequence every run. Change to see different outcomes.
Arrival Distribution — How Cars Arrive
📈
Exponential
Standard random arrivals (Poisson process). Ca=1.0.
➖
Uniform
Cars arrive at equally likely intervals within a range.
🔔
Normal
Arrival gaps follow a bell curve around a mean.
λ = 1 ÷ this = 0.3333 / min
Service Distribution — How Long Filling Takes
📈
Exponential
Random service time. Cs=1.0.
🔔
Normal
Bell curve. Most vehicles take similar time.
📊
Gamma
Right-skewed. Shape k + Scale θ.
➖
Uniform
Fill time equally likely between Min and Max.
μ = 1 ÷ this = 0.5000 / min  |  ρ = 0.6667
Reset