Quantitative

QUANTITIVE METHODS 1. What is a liner program----- 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 leaning of requirements represented as additive relationships. Linear programming is a specific flake of mathematical programming (mathematical optimization). More formally, bi one-dimensional programming is a technique for the optimization of a linear heading function, unfastened to linear equality and linear discrepancy constraints. Its feasible part is a convex polyhedron, which is a garnish outlined as the intersection of finitely many half(prenominal) 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 augur in the polyhedron Linear programming can be em ploy to various handle of study. It is used in business and economics, hardly can excessively be utilized for some plan problems. Industries that use linear programming models include transportation, energy, telecommunications, and manufacturing. It has proved effectual in imitate diverse types of problems in planning, routing, scheduling, assignment, and design. Linear programming is a extensive field of optimization for several reasons. some(prenominal) practical problems in operations research can be expressed as linear programming problems. Certain limited cases of linear programming, such as net clear campaign problems and multicommodity flow problems are considered burning(prenominal) enough to shed 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 optimiz ation theory, such as duality, decomposition! , and the vastness of convexity and its...If you want to get a large essay, severalise it on our website: OrderCustomPaper.com

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