Quantitative

QUANTITIVE METHODS 1. What is a liner programming----- limitations, if any? analog programming (LP, or elongate optimization) is a mathematical method for determining a way to achieve the best outcome ( such as level best profit or lowest cost) in a give mathematical model for some careen of requirements represented as additive relationships. Linear programming is a specific flake of mathematical programming (mathematical optimization). More formally, one-dimensional programming is a technique for the optimization of a analog aim function, unfastened to linear equality and linear contrast constraints. Its feasible part is a convex polyhedron, which is a assemble outlined as the intersection of finitely many half(a) spaces, each of which is defined by a linear inequality. Its objective function is a real-valued affine function defined on this polyhedron. A linear programming algorithm finds a window pane in the polyhedron Linear programming can be utilize to various handle of study. It is used in business and economics, scarcely can excessively be utilized for some engineer problems. Industries that use linear programming models include transportation, energy, telecommunications, and manufacturing. It has proved serviceable in imitate diverse types of problems in planning, routing, scheduling, assignment, and design.

Linear programming is a extensive field of optimization for several reasons. many another(prenominal) practical problems in operations research can be expressed as linear programming problems. Certain fussy cases of linear programming, such as net pee scat problems and multicommodity flow p! roblems are considered burning(prenominal) enough to lay down generated much research on vary algorithms for their solution. A number of algorithms for other types of optimization problems work by solving LP problems as sub-problems. Historically, ideas from linear programming have godlike many of the central concepts of optimization theory, such as duality, decomposition, and the vastness of convexity and its...If you want to get a honest essay, severalise it on our website: OrderCustomPaper.com

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