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In mathematical optimization, Dantzig's simplex algorithm (or simplex approach) is a well-liked algorithm for linear programming. The journal Computing in Science and Engineering detailed it as one of the major 10 algorithms on the twentieth century.

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These a few equations are known as the constraint boundary equation (making an allowance for the equality only). On the whole, the linear constraints are constraint boundary equations because the optimum value of the decision variables will lie within these linear constraints for which the objective purpose attains the maximum (or minimal) benefit.

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