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 ...

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 ...

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 ...

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 ...

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 ...

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?