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 ...

The branch-and-bound method with the revised dual simplex for bounded variables is very effective in solving relatively large-size integer linear programming problems. This paper, based on the general ...

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 ...