MA3209 PROBABILITY AND LINEAR PROGRAMMING SYLLABUS | ANNA UNIVERSITY B.TECH. CHEMICAL AND ELECTROCHEMICAL ENGINEERING 5TH SEMESTER SYLLABUS REGULATION 2008 2011 2012-2013 BELOW IS THE ANNA UNIVERSITY FIFTH SEMESTER B.TECH. CHEMICAL AND ELECTROCHEMICAL ENGINEERING DEPARTMENT SYLLABUS, TEXTBOOKS, REFERENCE BOOKS, IT IS APPLICABLE FOR ALL STUDENTS ADMITTED IN THE YEAR 2011 2012-2013 (ANNA UNIVERSITY CHENNAI,TRICHY,MADURAI,TIRUNELVELI,COIMBATORE), 2008 REGULATION OF ANNA UNIVERSITY CHENNAI AND STUDENTS ADMITTED IN ANNA UNIVERSITY CHENNAI DURING 2009
MA3209 PROBABILITY AND LINEAR PROGRAMMING L T P C
3 1 0 4
UNIT I PROBABILITY AND RANDOM VARIABLES 9
Probability concepts – problem using Baye’s theorem - random variables – discrete and
continuous random variable – probability functions – distribution functions – moments –
moment generating functions.
UNIT II TWO DIMENSIONAL RANDOM VARIABLES 9
Marginal and conditional probability distribution functions - mathematical expectations –
variance – co-variance –correlation coefficients –rank correlation coefficients – regression
lines.
UNIT III STANDARD DISTRIBUTIONS 9
Binomial – Poisson – geometric – negative binomial – exponential – gamma – Weibull
distributions – transform of one dimensional random variable – problem using Chebychev
inequality.
UNIT IV LINEAR PROGRAMMING 9
Introduction – formulation of the problem – graphical method – canonical form and standard
forms of L.P.P – simplex method – artificial variable techniques - Big-M method – two
phase simplex method.
UNIT V FURTHER TOPICS IN LINEAR PROGRAMMING 9
Duality principle – dual simplex method. Transportation model and algorithm, assignment
model and Hungarian technique of solution, unbalanced assignment models, maximization
case in transportation and assignment method.
L : 45 T : 15 TOTAL : 60 PERIODS
TEXT BOOKS
1. Kapur, J.N. and Saxena, H.C., "Mathematical statistics ", S.Chand & Company Ltd.,
2. Taha, H.A., " Operations Research, An Introduction ", Macmillan , New York, 1976.
3. Kanti Swarup, Guptha.P.K. and Man Mohan, " Operations Research ", Sultan Chand
and Sons, New Delhi, 1982.
36
REFERENCES
1. Miller and Freund, J.E., "Probability and Statistics for Engineers ", Prentice Hall of India,
New Delhi,1977.
2. Singaravelu, Siva Subramanian, “Probability and Random Processes”, Meenakshi
Publications, 2008.
3. G.Balaji, “Probability and Statistics”, First Edition, G.Balaji Publishers, Chennai, 2010.
MA3209 PROBABILITY AND LINEAR PROGRAMMING L T P C
3 1 0 4
UNIT I PROBABILITY AND RANDOM VARIABLES 9
Probability concepts – problem using Baye’s theorem - random variables – discrete and
continuous random variable – probability functions – distribution functions – moments –
moment generating functions.
UNIT II TWO DIMENSIONAL RANDOM VARIABLES 9
Marginal and conditional probability distribution functions - mathematical expectations –
variance – co-variance –correlation coefficients –rank correlation coefficients – regression
lines.
UNIT III STANDARD DISTRIBUTIONS 9
Binomial – Poisson – geometric – negative binomial – exponential – gamma – Weibull
distributions – transform of one dimensional random variable – problem using Chebychev
inequality.
UNIT IV LINEAR PROGRAMMING 9
Introduction – formulation of the problem – graphical method – canonical form and standard
forms of L.P.P – simplex method – artificial variable techniques - Big-M method – two
phase simplex method.
UNIT V FURTHER TOPICS IN LINEAR PROGRAMMING 9
Duality principle – dual simplex method. Transportation model and algorithm, assignment
model and Hungarian technique of solution, unbalanced assignment models, maximization
case in transportation and assignment method.
L : 45 T : 15 TOTAL : 60 PERIODS
TEXT BOOKS
1. Kapur, J.N. and Saxena, H.C., "Mathematical statistics ", S.Chand & Company Ltd.,
2. Taha, H.A., " Operations Research, An Introduction ", Macmillan , New York, 1976.
3. Kanti Swarup, Guptha.P.K. and Man Mohan, " Operations Research ", Sultan Chand
and Sons, New Delhi, 1982.
36
REFERENCES
1. Miller and Freund, J.E., "Probability and Statistics for Engineers ", Prentice Hall of India,
New Delhi,1977.
2. Singaravelu, Siva Subramanian, “Probability and Random Processes”, Meenakshi
Publications, 2008.
3. G.Balaji, “Probability and Statistics”, First Edition, G.Balaji Publishers, Chennai, 2010.
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