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 ...

In this paper, we first propose a perturbation procedure for achieving dual feasibility, which starts with any basis without introducing artificial variables. This procedure and the dual simplex ...

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 ...