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 ...

The death of mathematician George Dantzig is a scientific watershed. Dantzig developed "linear programming" and the simplex method, used to solve complex efficiency problems for large organizations.

This is a preview. Log in through your library . Abstract A computational procedure based on the results of Barankin and Dorfman [1], for minimising a convex quadratic function subject to linear ...

YOU MIGHT not have heard of the algorithm that runs the world. Few people have, though it can determine much that goes on in our day-to-day lives: the food we have to eat, our schedule at work, ...