QUANTITIVE METHODS 1. What is a liner computer programing----- 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 heel of requirements represented as additive relationships. Linear programming is a specific flake of mathematical programming (mathematical optimization). More formally, analog programming is a technique for the optimization of a analogue objective function, unfastened to linear equality and linear divergence constraints. Its feasible part is a convex polyhedron, which is a garb 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 come in in the polyhedron Linear programming can be app ly to various handle of study. It is used in business and economics, and can excessively be utilized for some engineering problems. Industries that use linear programming models include transportation, energy, telecommunications, and manufacturing. It has proved reusable in imitate diverse types of problems in planning, routing, scheduling, assignment, and design.
Linear programming is a extensive field of optimization for several reasons. legion(predicate) practical problems in operations research can be expressed as linear programming problems. Certain picky cases of linear programming, such as net dress t end problems and multicommodity flow problem! s are considered burning(prenominal) enough to obligate 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 all-embracing essay, severalise it on our website: OrderCustomPaper.com
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