This procedure and the dual simplex method are then incorporated into a general purpose algorithm; then, a modification of it using a perturbation technique is made in order to handle highly ...

Moreover, a new, ratio-test-free pivoting rule is proposed, significantly reducing computational cost at each iteration. Our numerical experiments show that the method is very promising, at least for ...

Linear programming -- which is not related to computer programming -- and the Simplex Algorithm provide a means for solving complicated problems with many variables and are generally employed to ...