Syllabus
Operations Research/Optimization
Basic concepts of Linear Programming (LP), Simplex Method, Big-M Method, Duality, Dual Simplex Problem, Sensitivity Analysis, Ideas of KKT condition, Ideas of Network Analysis, Non-Linear Programming (NLP), Quadratic Programming (QP), Reliability Optimization, Robust Optimization, etc.
Multi Criteria Decision Making
Multiple Objective Decision Making (MODM), Multiple Criteria Decision Making (MCDM); Decisions under uncertainty
Statistics and Multivariate Statistics
Multivariate Data Analysis, Multivariate Distribution, Multiple Regression models, Principle Component Analysis (PCA), Factor Analysis (FA), Multivariate Analysis of Variance (MANOVA), Conjoint Analysis, Canonical Correlation, Cluster Analysis, Multidimensional Scaling, Structural Equation Modelling (SEM), etc.
Non-parameter Techniques
Data Envelopment Analysis (DEA), Analytical Hierarchy Process (AHP); Statistical Decision Trees; Utility analysis and its significance to MCDM and MODM; Concepts of heuristic approaches with introduction to variety of examples of heuristics methods