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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