Course Solutions Uncategorized (Answered) : QUESTION S 5 points A multiple channel system has customers arriving at an average rate of five per hour and an average service ti

(Answered) : QUESTION S 5 points A multiple channel system has customers arriving at an average rate of five per hour and an average service ti

QUESTION S 5 points A multiple channel system has customers arriving at an average rate of five per hour and an average service time of forty minutes. The minimum number of servers for this system to be under loaded is: 0 a, 2 O e. None of these

Expert Answer


ANSWER: c. 4

Arrival rate, λ = 5 per hour

Service rate, μ = 60/40 = 1.5 customers per hour by each server

System utilization = λ/cμ = 5/(1.5c)

For system to be under loaded, utilization should be less than 1.

5/(1.5c) = 1, c = 5/1.5 = 3.33 . Server cannot be in

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