Operations Research (OR) is an art and science concerned with the
efficient allocation/utilization of scarce resources. The art lies in the
ability to depict concepts of efficiency and scarcity in a well-defined
mathematical model for a given situation. The science consists in the
derivation of computational methods for solving such models.

Introduction, Standard Form of a LP Problem (Characteristics of LPP), Steps in Simplex Method, Artificial Variables, Dual Simplex Method, Degeneracy in LPP.

Introduction, Basic Steps in PERT / CPM (Project Scheduling), Applications and Objectives of PERT/CPM, Network Construction, Common errors in a network diagram and the remedies, Problems on Critical Path Method, Project Evaluation and Review Technique (PERT), Differences Between PERT and CPM.

Introduction, Formulation of Integer Programming, Methods of Integer Programming, Cutting Plane Algorithm, Branch and Bound Method, Limitations of Integer Linear Programming, Zero One Algorithm.

Introduction, Definitions of Operations Research, Origin of Operations Research (Historical Development), Impact of Operations Research (Applications), Defining the Problem and Gathering Data (Phases of OR), Mathematical Model of OR- Testing the Model , , Nature of OR (Features of OR), Limitations of OR Models, Introduction to Linear Programming, Graphical Method.

Introduction, Basic Terms / Definitions, Standard Form of a LP Problem, (Characteristics of LPP), The Setting up and Algebra of Simplex Method, Steps of Simplex Method in Brief, Tie Breaking in Simplex Method (Degeneracy), Unbounded Solution, Multiple Optimal Solution.

Introduction, Fundamental Insight, Revised Simplex Method, The Essence of Duality Theory (Concept of Duality), Primal Dual Relationship - Adopting Other Primal Forms.

Introduction, The Role of Duality Theory in Sensitivity Analysis, The Essence of Sensitivity Analysis, Applying Sensitivities Analysis, Dual Simplex Method, Parametric Linear Programming, Integer Programming, The Upper Bound Technique (Branch and Bound Method).

Introduction, Nature of Metaheuristics, Simulated Annealing, The Traveling Sales Man Problem (Routing Problem), Tabu Search, Genetic Algorithms, A Minimum Spanning Tree Problem with Constraints.

Basic Terms used in Game Theory, Properties of Game, Maxi min Principle, Procedure to Determine Saddle Point, Dominance Rule, Graphical Method, Solution of a Game by Linear Programming Method, Extensions, Decision Analysis, Few Management Applications of Decision Theory, Decision Making without Experimentation, Baye's Decision Rule, Advantages of the Decision Tree Approach, Limitations of Decision
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Basic Feasible Solution, Method 1 - North West Corner rule, Method 2 - Least Cost Method, Method 3 - Row Minima Method, Method 4 - Column Minima Method, Method 5 - Vogel's Approximation Method (VAM) or Penaulty Method, Some special cases while finding the difference in VAM, Prime Condition, Steeping Stone Method, Maximization Problem, Assignment Problems, Algorithm for the Assignment Problem (Hung
......

Operations Research (OR) is an art and science concerned with the
efficient allocation/utilization of scarce resources. The art lies in the
ability to depict concepts of efficiency and scarcity in a well-defined
mathematical model for a given situation. The science consists in the
derivation of computational methods for solving such models.

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