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What is the use operation research special cases linear programming? 

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Many practical problems in operations research can be expressed as linear programming problems. Certain special cases of linear programming, such as network flow problems and multicommodity flow problems, are considered important enough to have much research on specialized algorithms.

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Special cases in linear programming are used in Operations Research to optimize problem-solving by addressing unique scenarios such as infeasibility, degeneracy, and integer constraints, leading to more efficient decision-making in fields like logistics, manufacturing, and finance.

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In operations research, special cases in linear programming include infeasibility, where no solution satisfies all constraints, and unboundedness, where the objective function improves indefinitely, indicating missing constraints. Degeneracy occurs when multiple feasible solutions share the same value, possibly slowing down the solution process. Multiple optimal solutions provide flexibility in decision-making, while redundancy involves unnecessary constraints that can be removed to simplify the problem. Sensitivity analysis examines how changes in variables affect the solution, and integer programming deals with problems requiring whole number solutions. These cases help ensure practical, efficient decision-making.



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