The death of mathematician George Dantzig is a scientific watershed. Dantzig developed "linear programming" and the simplex method, used to solve complex efficiency problems for large organizations.

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 ...

turns to a primal feasible basis with an increased number of dual feasible variables. Linear programming has been an extremely active area in applied mathematics during the last 40 years. The simplex ...

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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 ...