With a single-server model, increasing the arrival rate by 10 percent and also i
ID: 447846 • Letter: W
Question
With a single-server model, increasing the arrival rate by 10 percent and also increasing the service rate by 10 percent will result in:
an increase in the average number of customers in the system
a decrease in the average time spent in the system, including service
an increase in the waiting-line time
an increase in the utilization of the server
a.an increase in the average number of customers in the system
b.a decrease in the average time spent in the system, including service
c.an increase in the waiting-line time
d.an increase in the utilization of the server
Explanation / Answer
Let, = 80 per hour, ' = 80*1.1 = 88 per hour µ = 100 per hour, µ = 100*1.1 = 110 per hour Existing With Increase Average number of customers in the system = Ls = /µ- 4 4 Average time a customer is in the system = Ws = 1 /µ- (in minutes) 3.00 2.73 Average waiting time in line = Wq = pWs (in minutes) 2.4 2.18 p = / µ Utilization of the server = p = / µ 80% 80% Based on the above calculations, the correct answer is Option B - a decrease in the average time spent in the system, including service
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