The leading approach to the simplex method, a widely used technique for balancing complex logistical constraints, can’t get any better.

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 ...

George Bernard Dantzig, a Stanford University mathematics professor for three decades whose groundbreaking Simplex Algorithm has been used by industry to find the most efficient means to manufacture ...

SIAM Journal on Numerical Analysis, Vol. 13, No. 1 (Mar., 1976), pp. 145-154 (10 pages) A numerically stable form of an algorithm that is closely related to the work of Gill and Murray [5] and Conn [3 ...