Discover a new approach for solving linear fractional programming problems without relying on the simplex method. Explore the transformation of LFP problems into LP problems and the concept of duality ...

First, based on the duality principle, the follower problem is replaced by the prime-dual conditions, and the original problem is transformed into an equivalent single-level programming in which all ...

Recently, linear programming problems with symmetric fuzzy numbers (LPSFN) have considered by some authors and have proposed a new method for solving these problems without converting to the classical ...

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.

This paper considers fluid analogues for the standard linear programming problem and for a separable nonlinear programming problem. In the former case the usual duality results are demonstrated using ...

The dual simplex method, unlike the standard simplex method, starts with an infeasible but optimal (or better) solution for the objective function in a linear programming problem.

This paper addresses the issue of which strong duality holds between parametric robust semi-definite linear optimization problems and their dual programs. In the case of a spectral norm uncertainty ...

Linear Programming: Basics, Simplex Algorithm, and Duality. Applications of Linear Programming: regression, classification and other engineering applications. Integer Linear Programming: Basics, ...