Standard computer implementations of Dantzig's simplex method for linear programming are based upon forming the inverse of the basic matrix and updating the inverse ...

In this paper, we present the results of a new approach to the splitting factor preconditioner, which is a preconditioner based on the Incomplete Cholesky factorization and the splitting ...

We study a class of integer bilevel problems, the so-called Integer Linear Multiplicative Bilevel Problem, ILMBP, where the constraints are linear and both the upper level problem and the lower level ...

1 Department of Mathematics, Faculty of Science, Al Balqa Applied University, Salt, Jordan 2 Department of Mathematics, Faculty of Science, Zarqa University, Zarqa, Jordan This article circumvents the ...

Linear programming (LP) is a mathematical optimization technique used to achieve the best outcome, such as maximum profit or minimum cost, in a mathematical model whose requirements are represented by ...

The op_research package is a Python library for solving linear programming problems using the simplex algorithm. It provides a high-level interface for formulating and solving optimization ...

A simple linear solver for the simplex method in tableau form and gomory's cut. The Simplex method(Simplex Algorithm) is an approach to solving linear programming ...

A new variant of the Adaptive Method (AM) of Gabasov is presented, to minimize the computation time. Unlike the original method and its some variants, we need not to compute the inverse of the basic ...

Linear programming is a relatively new mathematical discipline, dating from the invention of the simplex method by G. B. Dantzig in 1947. He proposed the simplex algorithm as an efficient method to ...

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 ...