Roughly, we will cover the following topics (some of them may be skipped depending on the time available). Linear Programming: Basics, Simplex Algorithm, and Duality. Applications of Linear ...
In this paper, we propose two new perturbation simplex variants. Solving linear programming problems without introducing artificial variables, each of the two uses the dual pivot rule to achieve ...
Journal of Computational Mathematics, Vol. 31, No. 4 (July 2013), pp. 335-354 (20 pages) In this paper, we consider the solution of the standard linear programming (LP). A remarkable result in LP ...
George Bernard Dantzig, a Stanford University mathematics professor for three decades whose groundbreaking Simplex Algorithm has been used by industry to find the most efficient means to manufacture ...
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