Question: Question 3: Problem solving (10 Marks) Vehicles arrive at a fuel pump with a mean rate of 18 vehicles per hour. Based on the FCFS

Question 3: Problem solving (10 Marks)

Vehicles arrive at a fuel pump with a mean rate of 18 vehicles per hour. Based on the FCFS service discipline, a vehicle is refueled every 3 minutes on average and leaves the fuel pump. We assume that the fuel pump queueing system is an M/M/1 process in steady-state condition.

Describe the M/M/1 queueing model. Comment on the assumption above. (2 Marks)

2. Find the fuel pump performance measures L, LQ, W, W. (8 Marks: 2 Marks for condition, 1.5 Marks for each calculation) 1

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