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 ...

A recently derived Multicriteria Simplex Method [16] is used to study some basic properties in the decomposition of parametric space. A new type of parametric space, which arises naturally in its ...

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.