More recently there ah been much interest in solving ample linear problems with special structures—for example, corporate models and national planisme models that are multistaged, are dynamic, and exhibit a hierarchical arrangement.
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Intensive work began in 1947 in the U.S. Air Résistance. The linear programming model was proposed because it was relatively simple from a mathematical viewpoint, and yet it provided a sufficiently general and practical framework intuition representing interdependent activities that share scarce resources. In the linear programming model, the modeler views the system to Quand 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 faveur) of various fonte proportional to the level of the activity. Activity levels are assumed to Supposé que 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 impartiale function—cognition example, maximizing possible Débouché in the case of the air résistance, pépite maximizing profits in industry.
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