1. Suppose that all of problem parameters are the same as before except the arrival rate,, which increases to 25/minute. To provide the same level of service, i.e., average latency of no more than 20 milliseconds, what is the optimum number of servers required?
2. Suppose that all of problem parameters are the same as before except the arrival rate,, which increases to 25/minute. To provide the same level of service, i.e., average latency of no more than 20 milliseconds, what is the utilizationat this optimum solution?
3. Suppose that all problem parameters are the same as before except the arrival rate,, which increases to 40/minute. To provide the same level of service, i.e., average latency of no more than 20 milliseconds, what is the optimum number of servers required?
4. Suppose that all problem parameters are the same as before except the arrival rate,, which increases to 40/minute. To provide the same level of service, i.e., average latency of no more than 20 milliseconds, what is the utilizationat this optimum solution?
5. Examining the solution to the example discussed in the lecture and to the 4 questions above, what can you say about the impact of scale on the design and performance of any system? Please provide a short response.
6. Suppose that all problem parameters are the same as before except the arrival rate,, which is back to 20/minute. However, now, suppose that the service level target has tightened to an average latency of no more than 10 milliseconds. What is the optimum number of servers required?
7. Suppose that all problem parameters are the same as before except the arrival rate,, which is back to 20/minute. However, now, suppose that the service level target has tightened to an average latency of no more than 10 milliseconds. What is the utilizationat this optimum solution?
8. Examining the solution to the example discussed in the lecture and to the two questions above, what can you say about the impact of target service level on the design and performance of any system? Please provide a short response.