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 ...

Ezzati et al. (A new algorithm to solve fully fuzzy linear programming problems using the MOLP problem. Appl Math Model. 2015;39(12):3183-3193) introduced a lexicographic criterion for ranking ...

As the proposed two-phase estimation method infers an S-system model only by solving linear programming problems and sets of linear algebraic equations, it always provides us with a unique solution.

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 ...

Jérôme Bolte, Edouard Pauwels, Majorization-Minimization Procedures and Convergence of SQP Methods for Semi-Algebraic and Tame Programs, Mathematics of Operations Research, Vol. 41, No. 2 (May 2016), ...

This paper presents a simple numerical algorithm for the solution of programming problems in which some or all of the variables can take only discrete values. The algorithm requires no special ...

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 ...

ABSTRACT: In this paper, we investigate the convergence of the generalized Bregman alternating direction method of multipliers (ADMM) for solving nonconvex separable problems with linear constraints.