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 ...
One widely studied simplex variant, based on para- metric programming, is the shadow vertex algorithm of Borgwardt. This method is known to be exponen- tial in the worst case (see Goldfarb), but under ...
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 ...
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