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 ...

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 ...

This paper is about the primal-dual relationship in a mixed integer programming problem (MIP) in which integer variables are binary. It shows how the primal-dual relationship of a linear programming ...

Duality is one of the most important topics in optimization either a theoretical and algorithmic perspective. Optimization problem usually involved mathematical model. One of the applications widely ...

Learn how to relate LP duality to game theory and the minimax theorem, which are useful for optimizing and analyzing strategic situations.

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 ...

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.

Introduction to the theory and solution methods of linear and nonlinear programming problems, including: linear programming duality, Lagrangian duality, convex programming and Karush-Kuhn-Tucker ...

Perold, André, and R. Meidan. "Optimality Conditions and Strong Duality in Abstract and Continuous Time Linear Programming." Journal of Optimization Theory and Applications 40, no. 1 (May 1983): 61–76 ...