# Service Rate

Project description
Suppose that the service rate to a waiting line system is 10 customers per hour (exponentially distributed). Analyze how the average waiting time is expected to change as the arrival rate varies from two to ten cus- tomers per hour (exponentially distributed).
The average number of customers in line:
Two customers per hour = Lq = λ2/ [μ (μ-λ)] = 22/ [10(10-2)] = 0.05
Three customers per hour = Lq = λ2/ [μ (μ-λ)] = 32/ [10(10-3)] = 0.12857
Four customers per hour = Lq = λ2/ [μ (μ-λ)] = 42/ [10(10-4)] = 0.26667
Five customers per hour = Lq = λ2/ [μ (μ-λ)] = 52/ [10(10-5)] = 0.5
Six customers per hour = Lq = λ2/ [μ (μ-λ)] = 62/ [10(10-6)] = 0.9
Seven customers per hour = Lq = λ2/ [μ (μ-λ)] = 72/ [10(10-7)] = 1.6333
Eight customers per hour = Lq = λ2/ [μ (μ-λ)] = 82/ [10(10-8)] = 3.2
Nine customers per hour = Lq = λ2/ [μ (μ-λ)] = 92/ [10(10-9)] = 8.1
Ten customers per hour = Lq = λ2/ [μ (μ-λ)] = 102/ [10(10-10)] = 100
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