Introduce Linear programming (LP), also called linear optimization, is a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements and ...

When solving a problem using the simplex method, it is possible to choose a basis: "artificial" or "given". When choosing a "given" basis, the user must manually select the variables that the program ...

The researchers showed that the simplex method using Tardos' basic algorithm is strongly polynomial for totally unimodular linear programming problems, if the problems are nondegenerate. These ...

This technique is called sequential linear programming (SLP). This paper describes LP's problems and solves a LP's problems using the dual simplex method neural networks.

The properties of solutions of a linear programming problem are established and the simplex method for solving a linear programming problem is presented in detail. Throughout the paper, a simple ...

After reducing the dimension of the linear programming problem using the subset of the essential constraints, the solution method can be chosen from any suitable method for linear programming. The ...

We prove that the classic policy-iteration method [Howard, R. A. 1960. Dynamic Programming and Markov Processes. MIT, Cambridge] and the original simplex method with the most-negative-reduced-cost ...