Answered: Write a program that generates…

Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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In all programming assignments in this course, it is NOT allowed to use any library
or package function to directly generate random numbers that follow Poisson
Distribution, Exponential Distribution, or any other advanced distributions. ---
Writing such random number generators is a main purpose of this assignment.
The only exception that you are allowed to directly use is the ones that generate
random numbers that follow a Uniform Distribution. E.g., rand() in C.

A computing system is composed of two servers that are mirrors of each other (for
redundancy, so if one fails, it can be restored from the other). Assume that each server
has an expected MTBF of 500 hours and its continuous uptimes (the average of which
is MTBF) follow an Exponential Distribution. Furthermore, assume that when a server
fails, it takes exactly 10 hours to restore the data from the mirror.

(a) Write a program that generates synthetic data showing the failure and restoration
times for each server over 20 years. You can assume it is always exact 24 hours per day
and exact 365 days per year.
(b) Find out how long it would take until the whole computing system fails (that is
when both servers happen to fail within the 10 hours restoration time; in other words,
when the two servers have any restoration time durations overlapped). You would
need to simulate this multiple times with different seeds for the rand() function (or,
equivalent uniform (pseudo)random number generating function in the programming
langue of your choice) and compute the average.

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