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Linear programing

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Rezaul Karim
Rezaul Karim

NATIONAL UNIVERSITY Managerial Science

Business
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Linear programming Linear programming (LP;also called linearoptimization) isamethodtoachieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements are represented by linearrelationships. Linearprogrammingisa special case of mathematical programming (mathematical optimization). More formally, linear programming is a technique for the optimization of a linear objective function, subjecttolinearequality andlinearinequality constraints.Itsfeasible region isaconvex polytope,which is a set defined as the intersection of finitely many half spaces, each of which is defined by a linear inequality.Itsobjective function is a real-valued affine (linear) function defined on this polyhedron. A linearprogrammingalgorithmfinds a point in the polyhedron where this function has the smallest (or largest) value if such a point exists. Nature of linear programming

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Linear programing

  • 1. Linear programming Linear programming (LP;also called linearoptimization) isamethodtoachieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements are represented by linearrelationships. Linearprogrammingisa special case of mathematical programming (mathematical optimization). More formally, linear programming is a technique for the optimization of a linear objective function, subjecttolinearequality andlinearinequality constraints.Itsfeasible region isaconvex polytope,which is a set defined as the intersection of finitely many half spaces, each of which is defined by a linear inequality.Itsobjective function is a real-valued affine (linear) function defined on this polyhedron. A linearprogrammingalgorithmfinds a point in the polyhedron where this function has the smallest (or largest) value if such a point exists. Nature of linear programming