This is a preview. Log in through your library . Abstract We devise a new simplex pivot rule which has interesting theoretical properties. Beginning with a basic feasible solution, and any nonbasic ...

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 ...

The book also addresses linear programming duality theory and its use in algorithm design as well as the Dual Simplex Method, Dantzig-Wolfe decomposition, and a primal-dual interior point algorithm.

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 ...