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- W150927061 abstract "Fourier treated a system of linear inequalities by a method of elimination of variables. This method can be used to derive the duality theory of linear programming. Perhaps this furnishes the quickest proof both for finite and infinite linear programs. For numerical evaluation of a linear program, Fourier’s procedure is very cumbersome because a variable is eliminated by adding each pair of inequalities having coefficients of opposite sign. This introduces many redundant inequalities. However, modifications are possible which reduce the number of redundant inequalities generated. With these modifications the method of Fourier becomes a practical computational algorithm for a class of parametric linear programs." @default.
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- W150927061 date "1974-01-01" @default.
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- W150927061 title "On fourier’s analysis of linear inequality systems" @default.
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- W150927061 doi "https://doi.org/10.1007/bfb0121242" @default.
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