Probability Statistics And Linear Programming Tuition In Delhi

Probability Statistics And Linear Programming Tuition In Delhi

Course objectives

• To understand the concepts of Probability, Statistics and Linear Programming which arise in engineering applications

• To study the defects arising in any of the engineering products

• To study the quality of the components purchased for the projects

• To study the optimization techniques for various problems

• To study the Transportation and Assignment problems

Course Content

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, Ftest 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, 11 th Edition, Sultan Chand and Sons, 2003.

Course outcomes

On completion of the course, the students will be able to:

• Apply the principles and techniques learnt in this course for solving the practical problems which arise in the industry

• Use Estimation Theory and Regression Analysis to estimate the present condition from previous history in any real life situation

• Apply LPP to Transportations problems which is essential for a Civil Engineer

• Apply Probability in Reliability and life testing machine tools in Civil Engineering

• Solve the Linear Programming problems for minimizing the project cost and maximizing its profit