University of Lucknow, UP, General Semester 4, Operations Research Syllabus

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Unit - 1 Operations research

1.1 Operations research Origins and development of Operations Research Nature of Operations research Definitions of operations research Features characteristics of operations research. Phases of operations research.

1.2 Models and modelling in operations research classifications of O.R. models Methods for solving O.R. models Methodology of operations research Operations research techniques. Scope of operations research in commercial applications.

Unit - 2 Linear programming problem

2.1 Linear programming problem Formulation and Graphical method. Basic terminology requirements Applications area of Linear Programming formulation of Linear Programming models General mathematical formulation of Linear Programming

2.2 Definitions Graphical solution method search approach The simplex method Introduction standard form of linear programming problem c1evelopmellt of simplex method. Simplex method Maximization case Simplex method minimization case. Economic interpretation of the optimum simplex solution.

Unit - 3 Transportation models introduction

3.1 Transportation models introduction Mathematical statement of the transportation problem Methods for finding initial solution NorthWest Corner method least cost method Vogels approximation method. Optimality test stepping stone method Modified distribution MODI method. Profit maximization in transportation problem

3.2 Assignment problem Introduction and mathematical models for assignment Hungarian method for assignment problem. Special cases in assignment problems Maximization Case III assignment problem multiple optimal solutions.

Unit - 4 Decision theory

4.1 Decision Theory Introduction Decisions Situations Types of Decisions making environment Decision making Certainty Risk and uncertainty Decision tree analysis

4.2 Game Theory Introduction Definitions and Two Person Zero Sum Game Payoff Matrix Pure Strategies Games with Saddle Points the Rule of Dominance. Mixed Strategies Games Without Saddle Point.

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Other Subjects of Semester-2-
Management accounting
International business
Organizational behaviour
Income tax laws and accounts
Company laws and secretarial practices
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