However, it may require more iterations than the primal simplex method to reach a feasible solution, and can encounter numerical instability or degeneracy which can cause cycling or slow convergence.

This README introduces the Simplex Method, a popular algorithm for solving linear programming problems in R. Linear programming optimizes an objective function, such as maximizing or minimizing a ...

Ben Alex Keen's Linear Programming with Python and PuLP tutorial demonstrates how to use Python and PuLP, a free open source library, to model and solve LP problems with the simplex method or ...

The former method is not applicable when a primal basic feasible solution is not easily at hand and the later method needs to an initial dual basic feasible solution. In this paper, we develop a novel ...

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 ...

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 the ...

The Journal of Computational Mathematics is published bi-monthly. It is an international journal covering all branches of modern computational mathematics such as numerical linear algebra, numerical ...