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Linear Programming

Linear Programming, also known as linear optimization, is a method that utilizes mathematical models to achieve the best possible outcomes or results. These models are based on linear relationships.

The concept behind linear programming is that if a system can be represented by a mathematical model and its objective can be quantified, a computational method can be devised to determine the optimal course of action among available alternatives. This application of mathematical models is referred to as linear programming.

Linear programming finds applications in diverse fields such as the military, economics, and industry. By using linear inequalities and equations, solutions are developed through linear programming methods.

The topics covered under Linear Programming include:

  1. Definition of Linear Programming
  2. Classification of Programming Problems
  3. Mathematical Programming and Automation
  4. Origins of Linear Programming
  5. Economic Models and Linear Programming
  6. Industrial Applications of Linear Programming
  7. Formulating Linear Programming Model
  8. Linear Equation and Inequality Systems
  9. Simplex Method
  10. Proof Of Simplex Algorithm and Duality Theorem
  11. Simplex Method Using Multipliers
  12. Finiteness Of Simplex Method Under Perturbation
  13. Variants Of Simplex Algorithm
  14. Geometry Of Linear Programs
  15. Pivoting, Vector Spaces, Matrices, and Inverses
  16. Price Concept in Linear Programming
  17. Games And Linear Programs
  18. Classical Transportation Problem
  19. Optimal Measurement and Other Distribution Problems
  20. Transshipment Problem
  21. Variables With Upper Bounds
  22. Maximal Flows in Networks
  23. Convex Programming
  24. Decomposition Principle of Linear Programs
  25. Uncertainty

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