Imagine a scenario where a group of students within the Y$2$K network seeks to connect to the

internet. Let$$s assume these students generate requests of around $0\mathrm{.}01$ MB on average and

they send out about $90$ requests per second to the internet servers from the Y$2$K network.

Now, there$$s a crucial link, the bottleneck access link, connecting the Y$2$K network to the

internet servers, which can transmit data at a rate of $1$ MB$/$s$.$ Assume that there is no other

traffic within or outside of the institutional network, and the queuing delay at the bottleneck

link dominates $($i$.$e$,$ neglect all other delays at other links or nodes$).$ Answer the following

questions: $($Your answer should be in milliseconds rounded upto two decimal points$)$

$($a$)$ What is the average access time it takes for a student at Y$2$K campus to

access the webserver? Consider the queuing delay as $1$

$1\backslash$alpha ms$,$ where $\backslash$alpha represents the

traffic intensity i$.$e$,$ the ratio of incoming traffic to outgoing traffic.

$($b$)$ In an attempt to reduce the average access time, you proposed to the Y$2$K IT

director to enhance the transmission rate of the bottleneck link to $5$ MB$/$s$.$ What would

be the average access time for a student at Y$2$K campus to access the webserver in

this scenario?

$($c$)$ Let$$s say your proposed solution of increasing the transmission rate wasn$$t

feasible due to increased costs. After reconsideration, you suggest another approach:

incorporating a web cache server on the campus. Assuming an $80\%$ cache hit rate for

all requests, what would be the average access time for a student at Y$2$K campus to

access the webserver?