Andhra University 2005-1st Year B.Tech Computer Science and Engineering Forth Semester - RANDOM PROCESSES AND ENGINEERING (ELECTIVE-I) - Question Paper

MODEL PAPER

B. Tech (CSE) Degree exam

Forth Year - 1st Semester

RANDOM PROCESSES AND ENGINEERING (ELECTIVE-I)

Time: three hrs
Max Marks: 70

First ques. is Compulsory

ans any 4 from the remaining ques.

All ques. carry equal marks

ans all parts of any ques. at 1 place

1. ans all the subsequent Questions:
a) discuss the classification of the Stochastic Process according to Time and State Space.
b) Bring out the interrelation ranging from the Poisson Process and Exponential Distribution.
c) Distinguish ranging from Morkovian and Non-Morkovian Queuing models.
d) discuss the Bath-Tub curve in Reliability analysis.
e) Mention 3 important Properties of Spectral Representation of a Process.

2. a) Stating the Assumptions clearly find the system size distributions of a birth and death process.
= discuss the applications of Key renewal theorem in Computer Science.

3. a) describe stationary process and explain its role in Forecasting.
= discuss ARMA Process with an example. find the Correlation Function of ARMA (p,q).

4. a) discuss Box and Jinkins Model.
= explain the stages in periodogram analysis. Also discuss how it is useful in finding the periodicity.

5. a) What do you mean by Non-Markovian Queuing Models? Derive Pollazek — Khinchine Formula.
b) discuss Gl/M/1 Queuing Model in the situation of Computer Communications network.

6. a) Write a note on priority Queuing models and their impact on scheduling Algorithms.
b) find the waiting time analysis of M/M/1 Queueing Model.

7. describe the following:
i) Reliability, (ii) Failure time distribution, (iii) Hazard rate functions, (iv)System reliability.
b) discuss about any 1 failure time distributions and obtain it Reliability.

8. a) What is meant by Maintainability and Availability!? discuss their importance in reliability Engineering.
b) If a device has a failure rate of ? (t) = (0.015 + 0.02 t)/Year, where t is in years.
(i) compute the reliability for a five year design life, assuming that no maintenance is performed.
(ii) compute the reliability for a five year design life, assuming that annual preventive maintenance restores the device to an as-good-as new condition.

Earning:   Approval pending.