Abstract
Designed in 1947 by G. Dantzig, the Simplex Algorithm was the method of choice used to solve linear programs for decades. Though not a polynomial-time algorithm in the worst case, the Simplex Algorithm is remarkably fast in practice. Problems with thousands of variables and constraints are routinely solved by the Simplex Algorithm. Only since the appearance of Karmarkar’s Algorithm in 1984 and the more recent interior-point methods have contenders for “best practical linear programming algorithm” existed.
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Karloff, H. (2009). The Simplex Algorithm. In: Linear Programming. Modern Birkhäuser Classics. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4844-2_2
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