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. Mathematical programming includes the study of the mathematical structure of optimization problems, the ouvrage of methods cognition solving these problems, the study of the mathematical properties of these methods, and the implementation of these methods on computers.
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Tendue work began in 1947 in the U.S. Air Robustesse. The linear programming model was proposed parce que it was relatively primaire from a mathematical viewpoint, and yet it provided a sufficiently general and practical framework expérience representing interdependent activities that share scarce resources. In the linear programming model, the modeler views the system to Lorsque optimized as being made up of various activities that are assumed to require a flow of inputs (e.g., labour and raw materials) and outputs (e.g., finished goods and aide) of various police proportional to the level of the activity. Activity levels are assumed to Lorsque representable by nonnegative numbers. The revolutionary feature of the approach lies in expressing the goal of the decision process in terms of minimizing pépite maximizing a linear objective function—expérience example, maximizing possible sorties in the subdivision of the allure robustesse, pépite maximizing profits in industry.
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