Consider Figure Q.2, in which there is an institutional network connected to the Internet. Suppose that the average object size is 375,000 bits and that the average request rate from the institution's browsers to the origin servers is 120 requests per minute. Also suppose that the amount of time it takes for the signal traveling from the router on the Internet side of the access link to the origin servers is two seconds on average and it takes four seconds for the signal coming back. Model the total average response time as the sum of the average access delay (that is, the delay from the Internet router to the institution router), and the average Internet delay, ignoring the delay in the LAN. For the average access delay, use T/(1-TB), where I is the average time required to send an object over the access link and B is the arrival rate of objects to the access link. Note that the number of significant digits after the decimal point should be limited to four during the calculation. i. Find the average total response time. [8 marks] ii. Now suppose a cache is installed in the institutional LAN. Suppose that the miss rate is 0.4. Find the total average response time. [8 marks] iii. What is the total average response time if we upgrade the access link with two parallel links, one with 5 Mbps and another with 10 Mbps, instead of installing a cache in the institutional LAN? Assume that 30% of the traffic is distributed on the 5 Mbps link and the remaining 70% of the traffic is on the 10 Mbps link. [8 marks]
origin servers public Internet . 6 Mbps access link institutional network 10 Mbps LAN Figure Q.2
Consider Figure Q.2, in which there is an institutional network connected to the Internet. Suppose that the average obje
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Consider Figure Q.2, in which there is an institutional network connected to the Internet. Suppose that the average obje
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