NIT Trichy Civil Engineering Syllabus Probability, Statistics and Liner Programming

NIT Trichy Civil Engineering Syllabus PROBABILITY, STATISTICS AND LINEAR PROGRAMMING

 

 PROBABILITY, STATISTICS AND LINEAR PROGRAMMING

Total, Compound, Marginal and conditional probability, Bayes’ theorem – Binomial, Poisson

and Normal distributions, Moment generating function, Characteristic function
Central Limit Theorem, Law of large numbers, Tests of significance, large and small
samples, t- test, F-test and chi-square test for goodness of fit.
Estimation theory, ANOVA table and analysis, Multiple and partial correlation – Regression
Convex spaces, LPP statement, basic feasible solution, Graphical solution – Slack and surplus
variables – Artificial variable technique – Charne’s penalty method – Two phase method –
Dual simplex method – Primal dual problems, Transportation and Assignment problems.
Integer programming – Gomory’s cutting plane method – Branch and bound method.

References

1. Gupta. S.C. and Kapoor. V.K., Fundamentals of Mathematical Statistics, 7th Edition,
Sultan Chand and Sons, 1980.
2. Kantiswarup, Gupta P.K. and Man Mohan, Operations Research, 11th Edition, Sultan
Chand and Sons, 2003.

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