The Minute Stop Market has 1 pump for gasoline, which can service 10 customers per hour...
The Minute Stop Market has 1 pump for gasoline, which can service 10 customers per hour (Poisson distributed). Cars arrive at the pump at a rate of 5 per hour (Poisson distributed). Determine the average queue length, the average time a car is in the system, and the average time a car must wait.
Homework Answers
Service Rate(μ) = 10 cares /hr
λ = 5 cars/hr
1 Average queue length = μ/(μ-λ)
= 10/(10-5)
= 2
2 Average time a car is in the system = 1/(μ-λ)
= 1/(10-5)
= 0.2 hrs
= 0.2*60
= 12min
3 The average time a car must wait = λ/μ(μ-λ)
= 5/10(10-5)
= 0.1 hrs
= 0.1*60= 6min
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