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 ...

A new heuristic optimization algorithm is presented to solve the nonlinear optimization problems. The proposed algorithm utilizes a stochastic method to achieve the optimal point based on simplex ...

Discover a novel approach, the primal-dual simplex algorithm, for solving fuzzy linear programming problems without converting them to crisp problems. Overcome limitations of existing methods.

The SimplexMethod package provides an efficient implementation of the Simplex Algorithm for solving linear programming (LP) problems. It supports both maximization and minimization of objective ...

The pivot rule thus monotonically builds up to a dual feasible, and hence optimal, basis. A surprising property is that the pivot sequence results in intermediate bases which are neither primal nor ...

The branch-and-bound method with the revised dual simplex for bounded variables is very effective in solving relatively large-size integer linear programming problems. This paper, based on the general ...

The book also addresses linear programming duality theory and its use in algorithm design as well as the Dual Simplex Method, Dantzig-Wolfe decomposition, and a primal-dual interior point algorithm.

The algorithm in question is the Simplex algorithm, devised by American George Dantzig (1914-2005), considered one of the founding fathers of linear programming.