Queuing system A has a utilization of 80 percent, and queuing system B has a uti

Question

Queuing system A has a utilization of 80 percent, and queuing system B has a utilization of 90 percent. Both have single server. Say, the utilization of both systems increases by 5 percent; that is, A increases from 80 percent to 85 percent while B increases from 90 percent to 95 percent. Which system is likely to experience the smaller increase in the average time in queue?

a) System A

b) System B

c) Time in queue for each system will increase by the same amount.

d) More information is needed to determine which has a bigger change in average time in queue

Explanation / Answer

ans=

System B will experience the bigger percentage increase because utilization has a convex impact onwaiting time, i.e., the higher utilization, the bigger the impact of a change in utlization on the averagewaiting time.

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