In this paper, a modification of the bisection simplex method is made for more general purpose use. Organized in an alternative simpler form, the modified version exploits information of the optimal ...

Perold, André. "Exploiting Degeneracy in the Simplex Method." In Large Scale Linear Programming, edited by G. B. Dantzig, M. A. H. Dempster, and Markku Kallio ...

Perold, André. "A Degeneracy Exploiting LU Factorization for the Simplex Method." In Large Scale Linear Programming, edited by G. B. Dantzig, M. A. H. Dempster, and ...

This article gives a reformulation of the simplex method for quadratic programming having the advantage of generating tableaux with certain symmetry properties. It is proved that this method gives the ...

Fitting Other Problems to the Simplex Method In industry, linear programming problems may typically have thousands of constraints and tens of thousands of variables. There are large computer programs ...

George B. Dantzig, the mathematician who invented the field of linear programming, which revolutionized the way government and private enterprise planned, scheduled and generally conducted their ...

Its services are called upon thousands of times a second to ensure the world's business runs smoothly – but are its mathematics as dependable as we thought?