With a finite-source model,increasing the arrival rate by 10 percent and also increasing the service rate by 10 percent will result in
A) an increase in the utilization of the server.
B) an increase in the average number of customers in the service system.
C) a decrease in the average time spent in the system, including service.
D) an increase in the waiting time in line.

Question

Quizplus · Accepted Answer

With a finite-source model, increasing both arrival rate and service rate by the same percentage will result in a proportional decrease in the average time spent in the system, including service. Therefore, choice C is the correct answer. Choices A and B may occur if only one of the rates is increased, or if the increase in one rate is significantly larger than the increase in the other rate. However, this is not the case in the given scenario. Choice D is not necessarily true, as the waiting time in line depends on other factors such as the queue discipline and the number of servers.

With a Finite-Source Model,increasing the Arrival Rate by 10 Percent