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 ...

ALTHOUGH any problem in linear programming can be solved by the simplex method, various other algorithms are in use, for special cases of linear program- ming problems. Their advantage is usually ...

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 ...