Consider the scenario shown below, with four different servers connected to four different clients over four three-hop paths. The four pairs share a common middle hop with a transmission capacity of R = 300 Mbps. The four links from the servers to the shared link have a transmission capacity of RS = 50 Mbps. Each of the four links from the shared middle link to a client has a transmission capacity of RC = 90 Mbps.Assuming that the servers are all sending at their maximum rate possible, what are the link utilizations for the server links (with transmission capacity RS)? Enter your answer in a decimal form of 1.00 (if the utilization is 1) or 0.xx (if the utilization is less than 1, rounded to the closest xx)
Question
Consider the scenario shown below, with four different servers connected to four different clients over four three-hop paths. The four pairs share a common middle hop with a transmission capacity of R = 300 Mbps. The four links from the servers to the shared link have a transmission capacity of RS = 50 Mbps. Each of the four links from the shared middle link to a client has a transmission capacity of RC = 90 Mbps.Assuming that the servers are all sending at their maximum rate possible, what are the link utilizations for the server links (with transmission capacity RS)? Enter your answer in a decimal form of 1.00 (if the utilization is 1) or 0.xx (if the utilization is less than 1, rounded to the closest xx)
Solution
The link utilization is defined as the actual rate of data transmission divided by the maximum possible data transmission rate.
In this scenario, the servers are all sending at their maximum rate possible, which is RS = 50 Mbps. However, the shared middle link has a transmission capacity of R = 300 Mbps. Since there are four servers, the total data transmission rate from the servers to the shared link is 4 * RS = 200 Mbps.
Therefore, the link utilization for the server links is the actual rate of data transmission (200 Mbps) divided by the maximum possible data transmission rate (RS = 50 Mbps).
So, the link utilization for the server links is 200 Mbps / 50 Mbps = 4.00.
However, since the utilization cannot exceed 1 (100%), the actual utilization is 1.00. This means that the server links are fully utilized.
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