MA3401 Subject code belongs to the Anna University, B.Tech Food Technology Semester IV syllabus. In this article, we discuss the syllabus of the Probability And Operations Research subject. We hope it helps the students prepare for the academic exams.
The following article, MA3401 – Probability And Operations Research Syllabus assists the students in thorough preparation for theory examinations. We include the detailed syllabus along with the expertise referred textbooks and references. Students can easily get information regarding the probability and operations research syllabus, we add every concept to each unit. You can follow the information and prepare well if you have any doubts regarding the syllabus of this subject. You can comment below. Aplustopper.com will be available as soon as possible. Hope this information is useful. Don’t forget to share this information with your classmates.
If you want to know more about the syllabus of B.Tech Food Technology Syllabus connected to an affiliated institution’s four-year undergraduate degree program. We provide you with a detailed Year-wise, semester-wise, and Subject-wise syllabus in the following link B.Tech Food Technology Syllabus Anna University, Regulation 2021.
MA3401 – Probability And Operations Research Syllabus
Unit I: Probability And Random Variables
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 – Functions of a random variable.
Unit II: Two – Dimensional Random Variables
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: Linear Programming
Formulation of linear programming models – Graphical solution – Simplex method – Big M Method – Two phase simplex method – Duality – Dual simplex method.
Unit IV: Transportation And Assignment Problems
Matrix form of Transportation problems – Loops in T.P. – Initial basic feasible solution – Transportation algorithm – Assignment problem – Unbalanced assignment problems.
Unit V: Non-Linear Programming Problems
Lagrange multipliers – Equality constraints – Inequality constraints – Kuhn – Tucker Conditions – Quadratic programming.
Text Books:
- Ross. S.M., “Introduction to Probability and Statistics for Engineers and Scientists”, Elsevier, New Delhi, 5th Edition, 2014.
- H.A. Taha, ” Operations Research, An introduction, 10th Edition, Pearson Education, New Delhi, 2017.
- Kanti Swarup, Guptha P.K. and Man Mohan, ” Operations Research, Sultan Chand & Sons, New Delhi, 2010.
References:
- John E. Freund’s ” Mathematical Statistics with Applications “, 8th Edition, Pearson Education, New Delhi, 2017.
- Milton. J. S. and Arnold. J.C., “Introduction to Probability and Statistics”, Tata McGraw Hill, New Delhi, 4th Edition, 3rd Reprint, 2008.
- Pradeep Prabhakar Pai, ” Operations Research and Practice”, Oxford University Press, New Delhi, 2012.
- Ravindran, Philips and Solberg ” Operations Research, Principles and Practice ” Wiley, 2nd Edition, New Delhi, 2007.
- Frederick S Hillier and Gerald J. Lieberman, ” Introduction to Operations Research, Mc Graw Hill, New Delhi, 2017.
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