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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online.n mathematical optimization theory, the simplex algorithm, created by the American mathematician George Dantzig in 1947, is a popular algorithm for numerically solving linear programming problems. The journal Computing in Science and Engineering listed it as one of the top 10 algorithms of the century. The method uses the concept of a simplex, which is a polytope of N + 1 vertices in N dimensions: a line segment in one dimension, a triangle in two dimensions, a tetrahedron in three-dimensional space and so forth.