Chapter 6, Problem P33P

a.

Explanation of Solution

Given: Consider the data center in the figure “6.30” supports both e-mail and video distribution among other applications. Both the e-mail and video contains 4 racks of servers each. All the racks lie below single tier-2 switch.

To find: Time that the e-mail and video application uses the 4^th rack.

Solution:

The fraction of time that the email and video applications uses the 4^th rack is $\frac{1}{10}$ because 99

b.

Explanation of Solution

Given: Consider the data center in the figure “6.30” supports both e-mail and video distribution among other applications. Both the e-mail and video contains 4 racks of servers each. All the racks lie below single tier-2 switch.

To find: Fraction of time that the e-mail and video application uses the 4^th rack if both has independent usage.

Solution:

The probability to get the fraction of time that the e-mail and video application needs the 4^th rack if both has independent usage is given below:

$\begin{array}{l}\text{time(t)=0}\text{.001*0}\end{array}$

c.

Explanation of Solution

Given: Consider that the application can have a shortage of servers (for 0.001% of time).

To find:

Solution:

Consider that the 1^st three racks are allotted for videos and the 4^th rack is shared among both the video and e-mail...