Question

In: Computer Science

Consider distributing a file of F = X Gbits to N = 20 peers. The server...

Consider distributing a file of F = X Gbits to N = 20 peers. The server has an upload rate of us = X*3 Mbps, and each peer has a download rate of di = X/2 Mbps and an upload rate of X/10.

The numeric value X is the position of the first letter of your last name in the alphabet. For example if your last name starts with A then X = 1 and F = 1 Gbits.

Find the distribution time for
1. Client-server distribution
2. Peer-to-peer distribution

Solutions

Expert Solution

1.) Client-Server Distribution

For calculating the minimum distribution time for client-server distribution, we use the following formula:

Let X=1. Therefore Here,

  • F=1 Gbits= 1*1024=1024Mbits
  • us=3Mbps
  • di=2Mbps
  • N=20

2. Peer-to-peer distribution :

For calculating the minimum distribution time for P2P distribution, we use the following formula:

Let X=1. Therefore Here,

  • F=1 Gbits= 1*1024=1024Mbits
  • us=3Mbps
  • di=2Mbps
  • N=20
  • ui=X/10=1/10=0.1


Related Solutions

Let f(x)=x • 3^x a) Find formula for f^(n) •(x) for natural n (the n order...
Let f(x)=x • 3^x a) Find formula for f^(n) •(x) for natural n (the n order derivative). b) Write the Taylor series generated by f(x) in 0.
Multiple choice questions: Circle the correct answer 4) Considering distributing a file of F = 10...
Multiple choice questions: Circle the correct answer 4) Considering distributing a file of F = 10 Gbits to 200 peers. The server has an upload rate of 10 Mbps, and each peer has a download rate of 1 Mbps and an upload rate of 200 Kbps. If client-server distribution is used to distribute the file to these 200 peers, the minimum distribution time is approximately equal to (a) 10,000 sec; (b) 20,000 sec; (c) 100,000 sec; (d) 200,000 sec; (e)...
For f: N x N -> N defined by f(m,n) = 2m-1(2n-1) a) Prove: f is...
For f: N x N -> N defined by f(m,n) = 2m-1(2n-1) a) Prove: f is 1-to-1 b) Prove: f is onto c) Prove {1, 2} x N is countable
File Sharing Server A company would like to develop a file share server on the corporate...
File Sharing Server A company would like to develop a file share server on the corporate network. The file share would be used by employees and occasionally by customers, so parts of the file share would be accessible from the Internet. Some employees would share files with each other, but most would simply store files which would only be visible and usable by them. Some employees are in groups which would share files with each other, but those files should...
Suppose that f(x)=x^n+a_(n-1) x^(n-1)+⋯+a_0∈Z[x]. If r is rational and x-r divides f(x), prove that r is...
Suppose that f(x)=x^n+a_(n-1) x^(n-1)+⋯+a_0∈Z[x]. If r is rational and x-r divides f(x), prove that r is an integer.
Let f(x)∈F[x] be separable of degree n and let K be the splitting field of f(x)....
Let f(x)∈F[x] be separable of degree n and let K be the splitting field of f(x). Show that the order of Gal(K/F) divides n!.
Find the pointwise limit f(x) of the sequence of functions fn(x) = x^n/(n+x^n) on [0, ∞)....
Find the pointwise limit f(x) of the sequence of functions fn(x) = x^n/(n+x^n) on [0, ∞). Explain why this sequence does not converge to f uniformly on [0,∞). Given a > 1, show that this sequence converges uniformly on the intervals [0, 1] and [a,∞) for any a > 1.
Consider a random sample of size n from a distribution with function F (X) = 1-...
Consider a random sample of size n from a distribution with function F (X) = 1- x-2 if x > 1 and zero elsewhere. Determine if each of the following sequences has distribution limit; if so, give the limit distribution. a)x1:n b)xn:n c)n-1/2 xn:n
A random sample of size n from a distribution by f(x) = 2x and F(x) =...
A random sample of size n from a distribution by f(x) = 2x and F(x) = x^2 ; 0 < x < 1. Let R = X(n) − X(1) be the range of the sample. Give a general form of the density function of R
Given n ∈N and p prime number and consider the polynomial f (x) = xn (xn-2)+1-p...
Given n ∈N and p prime number and consider the polynomial f (x) = xn (xn-2)+1-p 1)Prove that f (x) is irreducible in Q [x] 2) If n = 1 and p = 3, find Q [x] / f (x)) 3) Show that indeed Q [x] / (f (x)) is a field in the previous paragraph PLEASE answer all subsections
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT