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 ...

This code demonstrates linear optimization concepts, shows how to model and solve linear programming problems using the CVXOPT library, and explores sensitivity analysis and duality in linear ...

Abstract: 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 ...

This paper presents the basic concepts of linear programming, which consists in minimizing or maximizing a linear objective function with linear inequality or equality constraints on the variables of ...

ABSTRACT: Most of the current methods for solving linear fractional programming (LFP) problems depend on the simplex type method. In this paper, we present a new approach for solving linear fractional ...

Roughly, we will cover the following topics (some of them may be skipped depending on the time available). Linear Programming: Basics, Simplex Algorithm, and Duality. Applications of Linear ...

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 ...

ABSTRACT: A second-order dual problem is formulated for a class of continuous programming problem in which both objective and constrained functions contain support functions, hence it is ...