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 ...

Mixed Integer (linear) Program: some variables integral. Example: 3 machines, trying to find the right product mix to max. revenue (Primal problem). Now another company wants to rent the machines: ...

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 ...

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 ...

Linear Fractional Programming, Linear Programming, Duality 1. Introduction The linear fractional programming (LFP) problem has attracted the interest of many researches due to its application in many ...

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 ...