Optimal solution to an LP is a vertex of the solution polytope. An optimal solution will always sit on one of the vertices (red dots above). This is intuitively makes sense as we know that if you are ...

The simplex method is a fast and efficient algorithm for solving linear programming. Inspired by the optimization method and the simplex method in Seminar 1, this project considers programming the ...

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 ...

Abstract: Linear programming(LP) is the term used for defining a wide range of optimization problems in which the objective function to be minimized or maximized is linear in the unknown variables and ...

ABSTRACT: This paper deals with linear programming techniques and their application in optimizing lecture rooms in an institution. This linear programming formulated based on the available secondary ...

Abstract: This study proposes a novel technique for solving linear programming problems in a fully fuzzy environment. A modified version of the well-known dual simplex method is used for solving fuzzy ...