Suppose a system runs three types of transactions. Transactions of type A runat the rate of 50 per second, transactions of type B run at 100 per second, andtransactions of type C run at 200 per second. Suppose the mix of transactionshas 25 percent of type A, 25 percent of type B, and 50 percent of type C. a. What is the average transaction throughput of the system, assuming there is no interference between the transactions? b. What factors may result in interference between the transactions of different types, leading to the calculated throughput being incorrect?

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter20: Queuing Theory
Section20.10: Exponential Queues In Series And Open Queuing Networks
Problem 6P
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Suppose a system runs three types of transactions. Transactions of type A run
at the rate of 50 per second, transactions of type B run at 100 per second, and
transactions of type C run at 200 per second. Suppose the mix of transactions
has 25 percent of type A, 25 percent of type B, and 50 percent of type C. a. What is the average transaction throughput of the system, assuming
there is no interference between the transactions?
b. What factors may result in interference between the transactions of different types, leading to the calculated throughput being incorrect?

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