Saturday, February 27, 2021
Friday, February 26, 2021
INTRODUTION TO PROBABILITY
Wednesday, February 24, 2021
THEORY OF ESTIMATION
Tuesday, February 23, 2021
BE-CSE-PROBABILITIY QUEUING THEORY SYLLABUS
ANNA UNIVERSITY, CHENNAI
AFFILIATED INSTITUTIONS
MA8402
PROBABILITY AND QUEUING THEORY
OBJECTIVES:
- To provide necessary basic concepts in probability and random processes for applications such as random signals, linear systems in communication engineering.
- To understand the basic concepts of probability, one and two dimensional random variables and to introduce some standard distributions applicable to engineering which can describe real life phenomenon.
- To understand the basic concepts of random processes which are widely used in IT fields.
- To understand the concept of queueing models and apply in engineering.
- To understand the significance of advanced queueing models.
- To provide the required mathematical support in real life problems and develop probabilistic models which can be used in several areas of science and engineering.
UNIT I PROBABILITY AND RANDOM VARIABLES 12
Probability – Axioms of probability – Conditional probability – Baye‘s theorem - Discrete and continuous random variables – Moments – Moment generating functions – Binomial, Poisson, Geometric, Uniform, Exponential and Normal distributions.
UNIT II TWO - DIMENSIONAL RANDOM VARIABLES 12
Joint distributions – Marginal and conditional distributions – Covariance – Correlation and linear regression – Transformation of random variables – Central limit theorem (for independent and identically distributed random variables).
UNIT III RANDOM PROCESSES 12
Classification – Stationary process – Markov process - Poisson process – Discrete parameter Markov chain – Chapman Kolmogorov equations – Limiting distributions.
UNIT IV QUEUEING MODELS 12
Markovian queues – Birth and death processes – Single and multiple server queueing models – Little‘s formula - Queues with finite waiting rooms – Queues with impatient customers : Balking and reneging.
UNIT V ADVANCED QUEUEING MODELS 12
Finite source models - M/G/1 queue – Pollaczek Khinchin formula - M/D/1 and M/EK/1 as special cases – Series queues – Open Jackson networks.
TOTAL : 60 PERIODS
OUTCOMES:
Upon successful completion of the course, students should be able to:
- Understand the fundamental knowledge of the concepts of probability and have knowledge of standard distributions which can describe real life phenomenon.
- Understand the basic concepts of one and two dimensional random variables and apply in engineering applications.
- Apply the concept of random processes in engineering disciplines.
- Acquire skills in analyzing queueing models.
- Understand and characterize phenomenon which evolve with respect to time in a probabilistic manner
TEXTBOOKS:
1. Gross, D., Shortle, J.F, Thompson, J.M and Harris. C.M., ―Fundamentals of Queueing Theory", Wiley Student 4th Edition, 2014.
2. Ibe, O.C., ―Fundamentals of Applied Probability and Random Processes", Elsevier, 1st Indian Reprint, 2007.
REFERENCES :
1. Hwei Hsu, "Schaum‘s Outline of Theory and Problems of Probability, Random Variables and Random Processes", Tata McGraw Hill Edition, New Delhi, 2004.
2. Taha, H.A., "Operations Research", 9th Edition, Pearson India Education Services, Delhi, 2016.
3. Trivedi, K.S., "Probability and Statistics with Reliability, Queueing and Computer Science Applications", 2nd Edition, John Wiley and Sons, 2002.
4. Yates, R.D. and Goodman. D. J., "Probability and Stochastic Processes", 2nd Edition, Wiley India Pvt. Ltd., Bangalore, 2012.
BE-CSE-PROBABILITY AND QUEUING THEORY
MA8402
PROBABILITY AND QUEUING THEORY
NOTES
- UNIT I PROBABILITY AND RANDOM
VARIABLES
INTRODUCTION TO PROBABILITY
AXIOM OF PROBABILITY
PROBLEM BASED ON PROBABILITY
PROBLEMS BASED ON MUTUALLY EXCLUSIVE EVENTS OR DISJOINT EVENTS
INDEPENDENT EVENTS OR NOT MUTUALLY EXCLUSIVE EVENTS
CONDITIONAL PROBABILITY
RANDOM VARIABLE-DISCRETE RANDOM VARIABLE
BINOMIAL DISTRIBUTION
POISSON DISTRIBUTION
UNIFORM DISTRIBUTION
EXPONENTIAL DISTRIBUTION
NORMAL DISTRIBUTION
- UNIT II
- UNIT III
- UNIT-IV QUEUEING MODELS
- UNIT V
Monday, February 22, 2021
SAMPLING DISTRIBUTION
Sunday, February 21, 2021
POPULATION AND SAMPLE
Sunday, February 7, 2021
BE-CSE AND BE-IT --ALGERBRA AND NUMBER THEORY
ANNA UNIVERSITY, CHENNAI
AFFILIATED INSTITUTIONS
MA8551
ALGEBRA AND NUMBER THEORY
B.E-CSE AND B.E -IT
REGULATION-2017
III-YEAR ,V-SEMESTER
MULTI CHOICES QUESTIONS;
- UNIT I
- UNIT II
- UNIT-IV
- UNIT V